Dr Bishnu Lamichhane
Senior Lecturer
School of Mathematical and Physical Sciences (Mathematics)
 Email:bishnu.lamichhane@newcastle.edu.au
 Phone:(612) 49215529
Career Summary
Biography
Bishnu Lamichhane works in applied and computational mathematics problems arising in science, technology and engineering. He applies computational mathematics to differential equations, data modelling, tomography and optimisation. He has a very strong track record of crossdisciplinary collaboration with academics from various disciplines including engineering, statistics, chemistry, physics and environment. These collaborations include research student supervision and grant submissions.
The impact of Bishnu’s research is evidenced by his publications in numerous highranking journals, service to the Computational Mathematics Group (CMG) and the Australian Mathematical Science Institute (AMSI), invitations to review grants and participate in ARC and CRCP grant applications and PhD thesis examinations. He was elected to the Chair of the Computational Mathematics Group (CMG) in 2016 for two years and reelected again in 2018 for two years. He hosted Computational Mathematics and Computational Techniques (CTAC) conference in 2018 in Newcastle as the conference director. He was also an editor of an electronic supplement of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. Moreover, he is elected to the Australian Mathematical Sciences Institute (AMSI) board in 2019 for two years.
Bishnu has a very strong crossdisciplinary collaboration record with local academics at the University of Newcastle. His current active collaborative projects with local academics at the University of Newcastle include:
 data science and optimisation with statisticians
 application of the finite element method in Neutron strain tomography with engineers
 optical tomography with physicists
 data modelling in radiation therapy with physicists
 analysis of FTIR spectral data with chemists
 improved coal blending models through optimisation of coke microstructure with engineers. This project is funded by the BHP (Broken Hill Propriety Company Ltd).
Bishnu has also very strong collaboration outside the University of Newcastle. Inside Australia, his collaborations include academics from the Australian National University, the University of New South Wales, the University of Queensland, the University of Adelaide, the University of South Australia and Monash University. Internationally, he has collaboration with academics from the University of Hannover (Germany), the University of Glasgow (UK), the University of Salzburg (Austria), the Indian Institute of Technology (India) and the Birla Institute of Technology and Science (India).
Bishnu has also a strong passion for teaching mathematics at all levels. He has taught many service courses as well as Honours courses. He was invited to teach an AMSI Honours course three times in 2011, 2014 and 2020. He focusses on driving students’ interest in mathematics through examples from applications of mathematics.
Supervision
Bishnu has supervised two PhD students and many Honours students to completion. He has a strong track record of supervising interdisciplinary projects. Two of his PhD students have submitted their thesis. He supervises 10 PhD students and one Master student now with three of them as a principal supervisor. One of the three students is funded by the BHP and is supervised jointly with academics in engineering.
BHP Funding
Bishnu is a lead investigator of the BHP project: Improved Coal Blending Models Through Optimisation of Coke Microstructure. The project is established to conduct mathematical analysis of coke microstructures and optimise coke strength. The total project cost is $279,620 and the UON contribution (Overhead + Inkind) is $329,620. The project is funded through BHP coal and cokemaking project with the grant number GS200013: https://www.newcastle.edu.au/research/centre/cimr
Invitation
Bishnu has been invited to present at many seminars, colloquia and conferences at the national and international levels. He has also been invited to teach an Honours course at AMSI Summer School (Summer School organised by the Australian Mathematical Sciences Institute) three times in 2011, 2014 and 2020.
Engagement with the Computational Mathematics Group (CMG)
Bishnu was elected the Chair of the Computational Mathematics Group (CMG) of Australia in 2016 from the Annual General Meeting of the CMG, which was held during the Computational Techniques and Applications Conference (CTAC) in Monash University. He was the conference director of the conference CTAC in 2018, which was held in the Newcastle City Hall, Newcastle on 2018 November 2730. He was reelected as the Chair of the CMG group again from the Annual General Meeting of CMG during the CTAC conference in Newcastle.
AMSI Board
Bishnu is elected to AMSI Board for the period of two years from mid2019 to mid2021. AMSI is the only mathematical institute at the national level and is a collaborative enterprise of Australia’s mathematical sciences. The Board is responsible for the overall direction and control of the management of AMSI and the formulation of policies to be applied to AMSI activities, which includes strategic direction, oversight of finances, the succession of the director, etc. He actively advocates for the benefit of small and regional universities in board meetings.
Engagement with the Australian Mathematical Society
Bishnu has been involved in organising the Computational Mathematics Session at the Australian Mathematical Society meeting since 2010. This work has resulted in a few collaborations.
AsiaPacific Connection
Bishnu is developing collaboration with academics at the Indian Institute of Technology (IIT, Mumbai), South Asian University (SAU, Delhi) and the Birla Institute of Technology and Science (BITS, Goa). He was invited to a few international conferences in the AsiaPacific region. Two of his PhD students are from India due to this connection.
Research Expertise
Numerical Methods for Partial Differential Equations, Mixed and Hybrid Finite Element Methods, Computational Mathematics, Data Modelling, Optimisation
Membership
Member of the Australian Mathematical Society (AustMS)
Member of Australia and New Zealand Industrial and Applied Mathematics (ANZIAM)
Member of Mathematics of Computation and Optimisation (MoCaO: special interest group of the AustMS)
Brief History
After schooling in Gorkha, Nepal, Bishnu Lamichhane completed his Intermediate and Bachelor of Arts degrees from the Tribhuvan University, Nepal in 1991 and 1993, respectively. Tribhuvan University is the biggest government university in Nepal with many campuses spread throughout the whole country. He completed both degrees as a private student without attending any lectures. He was working as a fulltime school teacher during the study. A private student goes through the same assessment process in Nepal but they study themselves at home without getting help from lecturers and professors. He secured the secondbest marks throughout the whole Tribhuvan University in the Bachelor of Arts exam and thus got the encouragement to study further. He then joined the Central Department of Mathematics of Tribhuvan University to complete a Master of Arts in mathematics in 1993. He completed the Master's degree in mathematics with a distinction grade securing the best marks in that discipline throughout the university and thus a gold medal.
Master and PhD in Germany
After completing the Master's degree in mathematics he worked as a casual teacher for two years at the Central Department of Mathematics during which time he got a permanent job as a section officer in the Nepalese Civil Service. However, he was not happy with the job. After three years as a section office in Nepal, he got a DAAD (German Academic Exchange Programme) scholarship to study Master of Science in Industrial Mathematics from the University of Kaiserslautern, Germany. That was a turning point in his career. He completed the Master's degree from the University of Kaiserslautern with a 'Very Good" grade and joined the University of Stuttgart in Germany to complete his PhD in 2001. He completed his PhD in mathematics in 2006. Two main topics of his PhD research were mortar finite element methods with biorthogonal systems and nearly incompressible materials in elasticity.
Postdoctoral Experiences
He then joined Aston University in the UK for a postdoc position in signal processing. After one and half years at Aston University, he joined another postdoc position at the Australian National University (ANU), Canberra. He extended his research in finite element methods collaborating with academics at the ANU and the University of Hannover, Germany. He applied finite element methods for nearly incompressible elasticity, image processing problems, the approximation of thinplate splines and Stokes problems during the postdoc period at the ANU.
University of Newcastle
He joined the School of Mathematics and Physical Sciences at the University of Newcastle as a lecturer in November 2009. He was promoted to senior lecturer level in 2014.
Qualifications
 Doktor Der Naturwissenschaften (equiv PhD), Universitat Stuttgart
 Master of Science, Universitat Kaiserslautern
Keywords
 Applied Mathematics
 Approximation Theory
 Computational Mathematics
 Data Science
 Differential Equations
 Finite Element Method
 Mathematical Modelling
 Numerical Analysis
 Optimisation
Languages
 German (Fluent)
 Hindi (Fluent)
 Nepali (Fluent)
Fields of Research
Code  Description  Percentage 

490508  Statistical data science  20 
490302  Numerical analysis  70 
490304  Optimisation  10 
Professional Experience
UON Appointment
Title  Organisation / Department 

Senior Lecturer  University of Newcastle School of Mathematical and Physical Sciences Australia 
Senior Lecturer  University of Newcastle School of Mathematical and Physical Sciences Australia 
Academic appointment
Dates  Title  Organisation / Department 

30/11/2009  30/12/2013  Lecturer  University of Newcastle 
1/5/2011  31/12/2014  Visiting Fellow  Australian National University Mathematical Sciences Institute Australia 
13/5/2008  30/11/2009  Postdoctoral Fellow  Australian National University Australia 
Awards
Award
Year  Award 

1997 
Gold Medal Tribhuvan University, Nepal 
Scholarship
Year  Award 

1999 
DAAD Scholarship German Academic Exchange Service (DAAD) 
Invitations
Keynote Speaker
Year  Title / Rationale 

2018  Second International Conference in Advances in Computational Mathematics 
2017  Recent Advances in PDEs: theory, computations and applications 
2016  Computational Techniques and Applications Conferance 
Speaker
Year  Title / Rationale 

2020  Computational Mathematics Seminar, Mathematical Science Institute, The Australian National University 
Thesis Examinations
Year  Level  Discipline  Thesis 

2021  PHD  Mathematics  Error Estimation and Adaptive Refinement of Finite Element Thin Plate Spline 
2013  PHD  Mathematics  Threefield mixed finite element approximations for problems in elasticity 
Grant Reviews
Year  Grant  Amount 

2019 
Fondecyt Regular, Chile (similar to NSF, USA) C3212  International Not for profit  3212, C3212  International Not for profit  3212 
$0 
2018 
South Africa’s National Research Foundation C3212  International Not for profit  3212, C3212  International Not for profit  3212 
$0 
2014 
South Africa’s National Research Foundation C3212  International Not for profit  3212, C3212  International Not for profit  3212 
$0 
Teaching
Code  Course  Role  Duration 

MATH1120 
Mathematics for Engineering, Science and Technology 2 Faculty of Science  University of Newcastle 
Course coordinator and sole lecturer  11/1/2021  5/2/2021 
MATH3820 
Numerical Methods Faculty of Science  University of Newcastle  Australia 
Coordinator and sole lecturer  22/2/2021  4/6/2021 
Publications
For publications that are currently unpublished or inpress, details are shown in italics.
Chapter (2 outputs)
Journal article (61 outputs)
Year  Citation  Altmetrics  Link  

2021 
Banz L, Ilyas M, Lamichhane BP, McLean W, Stephan EP, 'A mixed finite element method for the Poisson problem using a biorthogonal system with Raviart Thomas elements', Numerical Methods for Partial Differential Equations, 37 24292445 (2021) [C1]


2021 
Lamichhane BP, ShawCarmody JA, 'A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems', Journal of Computational and Applied Mathematics, 393 (2021) [C1] We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We prese... [more] We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.


2021 
Farrell PE, Gatica LF, Lamichhane BP, Oyarzua R, RuizBaier R, 'Mixed Kirchhoff stressdisplacementpressure formulations for incompressible hyperelasticity', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 374 (2021)


2021 
Aggarwal R, Lamichhane BP, Meylan MH, Wensrich CM, 'An Investigation of Radial Basis Function Method for Strain Reconstruction by EnergyResolved Neutron Imaging', APPLIED SCIENCESBASEL, 11 (2021) [C1]


2020 
Aggarwal R, Meylan MH, Lamichhane BP, Wensrich CM, 'Energy Resolved Neutron Imaging for Strain Reconstruction Using the Finite Element Method', Journal of Imaging, 6 (2020) [C1]


2020 
Ilyas M, Lamichhane BP, 'Optimal parameter for the stabilised fivefield extended Hu Washizu formulation', ANZIAM Journal, 61 C197C213 (2020) [C1]


2020 
TranDuc T, Meylan MH, Thamwattana N, Lamichhane BP, 'Wave Interaction and Overwash with a Flexible Plate by Smoothed Particle Hydrodynamics', WATER, 12 (2020) [C1]


2020 
Kalyanaraman B, Meylan MH, Lamichhane B, 'Coupled Brinkman and KozenyCarman model for railway ballast washout using the finite element method', JOURNAL OF THE ROYAL SOCIETY OF NEW ZEALAND, (2020)


2020 
Kalyanaraman B, Meylan MH, Bennetts LG, Lamichhane BP, 'A coupled fluidelasticity model for the wave forcing of an iceshelf', Journal of Fluids and Structures, 97 (2020) [C1]


2019 
Banz L, Lamichhane BP, Stephan EP, 'Higher Order Mixed FEM for the Obstacle Problem of the pLaplace Equation Using Biorthogonal Systems', Computational Methods in Applied Mathematics, 19 169188 (2019) [C1]


2019 
Lamichhane BP, Lindstrom SB, Sims B, 'APPLICATION OF PROJECTION ALGORITHMS TO DIFFERENTIAL EQUATIONS: BOUNDARY VALUE PROBLEMS', ANZIAM JOURNAL, 61 2346 (2019) [C1]


2019 
Kalyanaraman B, Bennetts LG, Lamichhane B, Meylan MH, 'On the shallowwater limit for modelling oceanwave induced iceshelf vibrations', Wave Motion, 90 116 (2019) [C1]


2019 
Droniou J, Ilyas M, Lamichhane BP, Wheeler GE, 'A mixed finite element method for a sixthorder elliptic problem', IMA Journal of Numerical Analysis, 39 374397 (2019) We consider a saddlepoint formulation for a sixthorder partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Cia... [more] We consider a saddlepoint formulation for a sixthorder partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the CiarletRaviart formulation for the biharmonic problem to formulate our saddlepoint problem and the finite element method. The new formulation allows us to use the H conforming Lagrange finite element spaces to approximate the solution. We prove a priori error estimates for our approach. Numerical results are presented for linear and quadratic finite element methods. 1


2019 
Droniou J, Lamichhane BP, Shylaja D, 'The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations', JOURNAL OF SCIENTIFIC COMPUTING, 78 14051437 (2019) [C1]


2018 
Barnes MP, Menk FW, Lamichhane BP, Greer PB, 'A proposed method for linear accelerator photon beam steering using EPID', JOURNAL OF APPLIED CLINICAL MEDICAL PHYSICS, 19 591597 (2018) [C1]


2018 
Banz L, Lamichhane BP, Stephan EP, 'Higher order FEM for the obstacle problem of the pLaplacian A variational inequality approach', Computers and Mathematics with Applications, 76 16391660 (2018) [C1]


2018 
Ilyas M, Meylan MH, Lamichhane B, Bennetts LG, 'Timedomain and modal response of ice shelves to wave forcing using the finite element method', Journal of Fluids and Structures, 80 113131 (2018) [C1] The frequencydomain and timedomain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the i... [more] The frequencydomain and timedomain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special nonlocal linear operator with forcing. This operator allows the computational domain to be restricted to the water cavity beneath the ice shelf. The ice shelf motion is expanded using the in vacuo elastic modes and the method of added mass and damping, commonly used in the hydroelasticity of ships, is employed. The ice shelf is assumed to be of constant thickness while the fluid domain is allowed to vary. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. It is shown that shelf submergence affects the resonant vibration frequency, whereas the corresponding mode shapes are insensitive to the submergence in constant depth. Further, the modes are shown to have a property of increasing node number with increasing frequency.


2017 
Lamichhane BP, 'A NEW MINIMIZATION PRINCIPLE FOR THE POISSON EQUATION LEADING TO A FLEXIBLE FINITE ELEMENT APPROACH', ANZIAM JOURNAL, 59 232239 (2017) [C1]


2017 
Le KN, McLean W, Lamichhane B, 'FINITE ELEMENT APPROXIMATION of A TIMEFRACTIONAL DIFFUSION PROBLEM for A DOMAIN with A REENTRANT CORNER', ANZIAM Journal, 59 6182 (2017) [C1] An initialboundary value problem for a timefractional diffusion equation is discretized in space, using continuous piecewiselinear finite elements on a domain with a reentrant... [more] An initialboundary value problem for a timefractional diffusion equation is discretized in space, using continuous piecewiselinear finite elements on a domain with a reentrant corner. Known error bounds for the case of a convex domain break down, because the associated Poisson equation is no longer regular. In particular, the method is no longer secondorder accurate if quasiuniform triangulations are used. We prove that a suitable local mesh refinement about the reentrant corner restores secondorder convergence. In this way, we generalize known results for the classical heat equation.


2017 
Lamichhane BP, 'A quadrilateral 'mini' finite element for the stokes problem using a single bubble function', International Journal of Numerical Analysis and Modeling, 14 869878 (2017) [C1]


2017 
Lamichhane BP, Gross L, 'Inversion of geophysical potential field data using the finite element method', INVERSE PROBLEMS, 33 (2017) [C1]


2017 
Banz L, Lamichhane BP, Stephan EP, 'A new threefield formulation of the biharmonic problem and its finite element discretization', NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 33 199217 (2017) [C1]


2016 
Lamichhane BP, Roberts SG, Stals L, 'A Mixed Finite Element Discretisation of Thin Plate Splines Based on Biorthogonal Systems', Journal of Scientific Computing, 67 2042 (2016) [C1] The thin plate spline method is a widely used data fitting technique as it has the ability to smooth noisy data. Here we consider a mixed finite element discretisation of the thin... [more] The thin plate spline method is a widely used data fitting technique as it has the ability to smooth noisy data. Here we consider a mixed finite element discretisation of the thin plate spline. By using mixed finite elements the formulation can be defined interms of relatively simple stencils, thus resulting in a system that is sparse and whose size only depends linearly on the number of finite element nodes. The mixed formulation is obtained by introducing the gradient of the corresponding function as an additional unknown. The novel approach taken in this paper is to work with a pair of bases for the gradient and the Lagrange multiplier forming a biorthogonal system thus ensuring that the scheme is numerically efficient, and the formulation is stable. Some numerical results are presented to demonstrate the performance of our approach. A preconditioned conjugate gradient method is an efficient solver for the arising linear system of equations.


2015 
Lamichhane BP, 'A new stabilization technique for the nonconforming CrouzeixRaviart element applied to linear elasticity', APPLIED MATHEMATICS LETTERS, 39 3541 (2015) [C1]


2015 
Droniou J, Lamichhane BP, 'Gradient schemes for linear and nonlinear elasticity equations', NUMERISCHE MATHEMATIK, 129 251277 (2015) [C1]


2015 
Lamichhane BP, McNeilly A, 'Approximation Properties of a Gradient Recovery Operator Using a Biorthogonal System', Advances in Numerical Analysis, 2015 17 (2015) [C1]


2014 
Lamichhane BP, 'A finite element method for a biharmonic equation based on gradient recovery operators', BIT NUMERICAL MATHEMATICS, 54 469484 (2014) [C1]


2014 
Lamichhane BP, 'A stabilized mixed finite element method based on gbiorthogonal systems for nearly incompressible elasticity', COMPUTERS & STRUCTURES, 140 4854 (2014) [C1]


2014 
Lamichhane BP, 'A nonconforming finite element method for the Stokes equations using the CrouzeixRaviart element for the velocity and the standard linear element for the pressure', INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 74 222228 (2014) [C1]


2014 
Lamichhane BP, Roberts SG, Hegland M, 'A new multivariate spline based on mixed partial derivatives and its finite element approximation', APPLIED MATHEMATICS LETTERS, 35 8285 (2014) [C1]


2014 
Lamichhane BP, 'A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids', Journal of Computational and Applied Mathematics, 260 356363 (2014) [C1] We consider a mixed finite element method for approximating the solution of nearly incompressible elasticity and Stokes equations. The finite element method is based on quadrilate... [more] We consider a mixed finite element method for approximating the solution of nearly incompressible elasticity and Stokes equations. The finite element method is based on quadrilateral and hexahedral triangulation using primal and dual meshes. We use the standard bilinear and trilinear finite element space enriched with elementwise defined bubble functions with respect to the primal mesh for the displacement or velocity, whereas the pressure space is discretized by using a piecewise constant finite element space with respect to the dual mesh. © 2013 Elsevier B.V. All rights reserved.


2013  Lamichhane BP, 'A New Finite Element Method for DarcyStokesBrinkman Equations', ISRN Computational Mathematics, 2013 14 (2013) [C1]  
2013 
Lamichhane BP, 'Two simple finite element methods for ReissnerMindlin plates with clamped boundary condition', Applied Numerical Mathematics, 72 9198 (2013) [C1] We present two simple finite element methods for the discretization of ReissnerMindlin plate equations with clamped boundary condition. These finite element methods are based on ... [more] We present two simple finite element methods for the discretization of ReissnerMindlin plate equations with clamped boundary condition. These finite element methods are based on discrete Lagrange multiplier spaces from mortar finite element techniques. We prove optimal a priori error estimates for both methods. The first approach is based on a socalled standard Lagrange multiplier space for the mortar finite element method, where the Lagrange multiplier basis functions are continuous. The second approach is based on a socalled dual Lagrange multiplier space, where the Lagrange multiplier basis functions are discontinuous. The advantage of using the second approach is that easy static condensation of degrees of freedom corresponding to the Lagrange multiplier is possibly leading to a symmetric positive definite formulation. © 2013 IMACS. Published by Elsevier B.V. All rights reserved.


2013 
Lamichhane BP, McBride AT, Reddy BD, 'A finite element method for a threefield formulation of linear elasticity based on biorthogonal systems', Computer Methods in Applied Mechanics and Engineering, 258 109117 (2013) [C1] We consider a mixed finite element method based on simplicial triangulations for a threefield formulation of linear elasticity. The threefield formulation is based on three unkn... [more] We consider a mixed finite element method based on simplicial triangulations for a threefield formulation of linear elasticity. The threefield formulation is based on three unknowns: displacement, stress and strain. In order to obtain an efficient discretization scheme, we use a pair of finite element bases forming a biorthogonal system for the strain and stress. The biorthogonality relation allows us to statically condense out the strain and stress from the saddlepoint system leading to a symmetric and positivedefinite system. The strain and stress can be recovered in a postprocessing step simply by inverting a diagonal matrix. Moreover, we show a uniform convergence of the finite element approximation in the incompressible limit. Numerical experiments are presented to support the theoretical results. © 2013 Elsevier B.V.


2013 
Lamichhane BP, 'Mixed Finite Element Methods for the Poisson Equation Using Biorthogonal and QuasiBiorthogonal Systems', Advances in Numerical Analysis, 2013 19 (2013) [C1]


2011 
Lamichhane BP, 'A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems', Journal of Computational and Applied Mathematics, 235 51885197 (2011) [C1]


2011 
Lamichhane BP, Stephan EP, 'A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems', Numerical Methods for Partial Differential Equations, 28 13361353 (2011) [C1]


2011 
Lamichhane BP, 'A mixed finite element method for the biharmonic problem using biorthogonal or quasibiorthogonal systems', Journal of Scientific Computing, 46 379396 (2011) [C1]


2010 
Lamichhane BP, 'A gradient recovery operator based on an oblique projection', Electronic Transactions on Numerical Analysis, 37 166172 (2010) [C1]


2007 
Chavan KS, Lantichhane BP, Wohmuth BI, 'Lockingfree finite element methods for linear and nonlinear elasticity in 2D and 3D', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 196 40754086 (2007)


2007 
Chavan KS, Lamichhane BP, Wohlmuth BI, 'Lockingfree finite element methods for linear and nonlinear elasticity in 2D and 3D', Computer Methods in Applied Mechanics and Engineering, 196 40754086 (2007) The uniform convergence of finite element approximations based on a modified HuWashizu formulation for the nearly incompressible linear elasticity is analyzed. We show the optima... [more] The uniform convergence of finite element approximations based on a modified HuWashizu formulation for the nearly incompressible linear elasticity is analyzed. We show the optimal and robust convergence of the displacementbased discrete formulation in the nearly incompressible case with the choice of approximations based on quadrilateral and hexahedral elements. These choices include bases that are well known, as well as newly constructed bases. Starting from a suitable threefield problem, we extend our adependent threefield formulation to geometrically nonlinear elasticity with SaintVenant Kirchhoff law. Additionally, an adependent threefield formulation for a general hyperelastic material model is proposed. A range of numerical examples using different material laws for small and large strain elasticity is presented. © 2007 Elsevier B.V. All rights reserved.


2006 
Lamichhane BP, Wohlmuth BI, 'Biorthogonal bases with local support and approximation properties', MATHEMATICS OF COMPUTATION, 76 233249 (2006)


2006 
Lamichhane BP, Reddy BD, Wohlmuth BI, 'Convergence in the incompressible limit of finite element approximations based on the HuWashizu formulation', NUMERISCHE MATHEMATIK, 104 151175 (2006)


2006 
Djoko JK, Lamichhane BP, Reddy BD, Wohmuth BI, 'Conditions for equivalence between the HuWashizu and related formulations, and computational behavior in the incompressible limit', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 195 41614178 (2006)


2005 
Lamichhane BP, Stevenson RP, Wohlmuth BI, 'Higher order mortar finite element methods in 3D with dual lagrange multiplier bases', NUMERISCHE MATHEMATIK, 102 93121 (2005)


2004 
Lamichhane BP, Wohlmuth BI, 'Mortar finite elements for interface problems', COMPUTING, 72 333348 (2004)


2004 
Lamichhane BP, Wohlmuth BI, 'A quasidual Lagrange multiplier space for serendipity mortar finite elements in 3D', ESAIMMATHEMATICAL MODELLING AND NUMERICAL ANALYSISMODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 38 7392 (2004)


2002 
Lamichhane BP, Wohlmuth BI, 'Higher order dual Lagrange multiplier spaces for mortar finite element discretizations', CALCOLO, 39 219237 (2002)


Show 58 more journal articles 
Conference (13 outputs)
Year  Citation  Altmetrics  Link  

2019 
Kalyanaraman B, Lamichhane BP, Meylan MH, 'A gradient recovery method based on an oblique projection for the virtual element method', Proceedings of the 18th Biennial Computational Techniques and Applications Conference, CTAC2018 (2019)


2019 
Georgiou F, Thamwattana N, Lamichhane BP, 'Modelling cell aggregation using a modified swarm model', 23rd International Congress on Modelling and Simulation  Supporting EvidenceBased Decision Making: The Role of Modelling and Simulation, MODSIM 2019 (2019) Cell aggregation and sorting are responsible for the formation, stability, and breakdown of tissue. A key mechanism for cell aggregations and sorting is that of cellcell adhesion... [more] Cell aggregation and sorting are responsible for the formation, stability, and breakdown of tissue. A key mechanism for cell aggregations and sorting is that of cellcell adhesion, a process by which cells bind or stick to each other through transmembrane proteins. This process is able to achieve cell sorting via the differential adhesion hypothesis (DAH) (Steinberg (1962b,a,c)). Armstrong et al. (2006) proposed a nonlocal advection model that was able to simulate the DAH. In their study, cells were modelled using a conservative system acting on cell density. The equations allowed for only two types of movement, random diffusive and directed adhesive movement with the adhesive movement taking into account cells within a finite sensing radius. Using the model with differing cell adhesion values they were able to simulate engulfment, partial engulfment, mixing, and sorting patterns between two cell types in both one and two dimensions. The aggregation of cells can be considered as a type of swarming, in that it is the collective behaviour of a large number of self propelled entities (Loan and Evans (1999)). Examples of macroscopic biological swarms include locust swarms, ungulate herds, fish schools, bird flocks, etc. Nonlocal swarming models have been used to successfully model these phenomena (see Bernoff and Topaz (2013)). Based on the principle of conservation of mass, a fixed population density moves at a velocity that arises as a result of social interactions (Mogilner and EdelsteinKeshet (1999)), giving rise to an equation of the form t + r(r(Q(x)) = 0; with Q(x) being a social potential function used to describe the social interactions between individuals. In this paper we look at the Armstrong et al. (2006) model of cellcell adhesion and recreate it by extending the swarm modelling techniques to equations of the form t + r(r(Q(x)f = 0: In doing so we find that by modelling in this way we are able to capture the same qualitative behaviour as the original model with a vastly reduced computational cost. We also derive a numerical scheme to simulate the model in one dimension in such a way that it can be easily adapted to other swarm problems. We find that the convergence rate of the numerical scheme is greater than 1.7 in all of the scenarios presented.


2018 
Maldon B, Lamichhane B, Thamwattana N, 'Numerical solutions for nonlinear partial differential equations arising from modelling dyesensitized solar cells', Newcastle, NSW (2018)


2018 
Maldon B, Lamichhane B, Thamwattana N, 'Numerical solutions for nonlinear partial differential equations arising from modelling dyesensitized solar cells', Newcastle, NSW (2018)


2017 
Lamichhane BP, Kumar A, Kalyanaraman B, 'A mixed finite element method for elliptic optimal control problems using a threefield formulation', ANZIAM Journal : Electronic Supplement, Auckland, New Zealand (2017)


2016 
Lamichhane BP, Stals L, 'Applications of a finite element discretisation of thin plate splines', ANZIAM Journal, Canberra (2016) [C1]


2012 
Lamichhane BP, Hegland M, 'A stabilised mixed finite element method for thin plate splines based on biorthogonal systems', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, Brisbane (2012) [C1]


2011  Andersson RS, Lamichhane BP, 'Piecewise constant aquifer parameter identification recovery', MODSIM 2011: 19th International Congress on Modelling and Simulation Proceedings, Perth (2011) [E1]  
2011 
Lamichhane BP, Roberts S, Stals L, 'A mixed finite element discretisation of thinplate splines', Proceedings of the Fifteenth Biennial Conference on Computational Techniques and Applications Conference (CTAC10), Sydney, Australia (2011) [E1]


2005 
Lamichhane BP, Wohlmuth BI, 'Mortar finite elements with dual Lagrange multipliers: Some applications', DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING, Freie Univ, Berlin, GERMANY (2005)


Show 10 more conferences 
Grants and Funding
Summary
Number of grants  4 

Total funding  $642,240 
Click on a grant title below to expand the full details for that specific grant.
20211 grants / $609,240
Improved blending models through optimisation of coke microstructure$609,240
This funding is to study "Improved Coal Blending Models Through Optimisation of Coke Microstructure”.
Accurate prediction of coke quality for coal blends is critical to technical marketing capability to provide sound advice to marketers and customers in relation to potential coal blends. Current predictive models are limited by a largely empirical approach to blending, based on relating measured coke properties to input coal properties. This project takes a radically different and fundamental approach and is divided into two complementary parts:
Part 1: Mathematical analysis of structural features of coke and related strength impacts.
Part 2: Take the outcomes from Part 1 to design practical blends to deliver optimised microstructures for maximising strength.
https://www.newcastle.edu.au/research/centre/cimrGrant Number: GS200013 (BHP Coal and Cokemaking Project).
Funding body: BHP Billiton Innovation Pty Ltd
Funding body  BHP Billiton Innovation Pty Ltd 

Project Team  Bishnu Lamichhane, David Jenkins, Arash Tahmasebi, Merrick Mahoney (University of Newcastle), Matthias Kabel (ITWM, Kaiserslautern, Germany) 
Scheme  BHP PhD Research Scholarship Program 
Role  Lead 
Funding Start  2021 
Funding Finish  2024 
GNo  
Type Of Funding  C3111  Aust For profit 
Category  3111 
UON  N 
20181 grants / $8,000
Computational Techniques and Applications Conference$8,000
Funded by the Department of Industry, New South Wales Government under the scheme “NSW RESEARCH ATTRACTION AND ACCELERATION PROGRAM: CONFERENCE SPONSORSHIP PROGRAM”
Funding body: Department of Industry
Funding body  Department of Industry 

Project Team  Bishnu Lamichhane, Mike Meylan 
Scheme  NSW RESEARCH ATTRACTION AND ACCELERATION PROGRAM: CONFERENCE SPONSORSHIP PROGRAM 
Role  Lead 
Funding Start  2018 
Funding Finish  2018 
GNo  
Type Of Funding  C1600  Aust Competitive  StateTerritory Govt 
Category  1600 
UON  N 
20141 grants / $20,000
Efficient approximation techniques for partial differential equations of solid and fluid mechanics$20,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Doctor Bishnu Lamichhane 
Scheme  Near Miss Grant 
Role  Lead 
Funding Start  2014 
Funding Finish  2014 
GNo  G1301386 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
1 grants / $5,000
Finite Element Methods for Solving Partial Differential Equations$5,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Doctor Bishnu Lamichhane 
Scheme  New Staff Grant 
Role  Lead 
Funding Start  
Funding Finish  
GNo  G1100303 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
Research Supervision
Number of supervisions
Current Supervision
Commenced  Level of Study  Research Title  Program  Supervisor Type 

2021  PhD  Improved Coal Blending Models Through Optimisation of Coke Microstructure  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2021  PhD  Hybrid Computational Method For ElasticLiquid Interfaces: Storm Wave Impact On Sea Ice Break Up  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2020  PhD  An Investigation of Local Projections Stabilisation for Finite Element Interpolation on Coupled Systems using Biorthogonal Bases Approach  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2020  PhD  Autoregressive Moving Average Model, Big Time Series Data, and Randomised Numerical Linear Algebra  PhD (Statistics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2019  PhD  Wave Scattering by Complex Geometries  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2019  PhD  Modelling Ice Shelf Vibrations  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2019  PhD  Developing a Life Expectancy Distribution Model Using Progressive Hybrid Censoring Scheme  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2018  PhD  Continuum Modelling of Eukaryotic Cells  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2018  Masters  Investigating the Dynamics of Human Relationships and Emotions using a Mathematical Theory for Social Networks  M Philosophy (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2018  PhD  Continuum Modelling of Carbon Materials for Energy Applications  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2018  PhD  Mathematical Modelling of DyeSensitised Solar Cells  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2018  PhD  Stability Analysis of Ballasted Tracks Under Flooded Conditions  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
2017  PhD  A geometrically flexible and efficient numerical solution technique for Bragg edge neutron transmission strain tomography  PhD (Engineering), College of Engineering, Science and Environment, The University of Newcastle  CoSupervisor 
Past Supervision
Year  Level of Study  Research Title  Program  Supervisor Type 

2019  PhD  Proximal Point Algorithms, Dynamical Systems, and Associated Operators: Modern Perspectives From Experimental Mathematics  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
2019  PhD  Finite Element Methods and Multifield Applications  PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle  Principal Supervisor 
Research Collaborations
The map is a representation of a researchers coauthorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one coauthor based in that country. Data is sourced from the University of Newcastle research publication management system (NURO) and may not fully represent the authors complete body of work.
Country  Count of Publications  

Australia  46  
Germany  15  
Austria  4  
South Africa  3  
United Kingdom  2  
More... 
Dr Bishnu Lamichhane
Position
Senior Lecturer
School of Mathematical and Physical Sciences
College of Engineering, Science and Environment
Focus area
Mathematics
Contact Details
bishnu.lamichhane@newcastle.edu.au  
Phone  (612) 49215529 
Mobile  0422437170 
Fax  (612) 4921 6898 
Office
Room  SR217 

Building  SR Building SR217 
Location  Callaghan NSW 2308 Australia University Drive Callaghan, NSW 2308 Australia 