Dr Bishnu Lamichhane

Dr Bishnu Lamichhane

Senior Lecturer

School of Mathematical and Physical Sciences (Mathematics)

Career Summary

Biography

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 full time 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 second best 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 Master degree of mathematics in 1993. He completed Master degree in mathematics with distinction grade securing the best marks in that discipline throughout the university and thus a gold medal in Master degree in mathematics. 

After completing Master degree in mathematics he worked as a casual teacher for two years in the Central Department of Mathematics during which time he got a permanent job as a section officer in Nepalese Civil Service. However, he was not happy in 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 of his career. He completed the Master degree from the University of Kaiserslautern with '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. 

He then joined Aston University in the UK for a post-doc position in signal processing. After one and half years in Aston University he joined another post-doc position at the Australian National University, Canberra. He extended his research in finite element methods in the Australian National University with collaboration with Prof Markus Hegland, Prof Steve Roberts and A/Prof Linda Stals. He applied finite element methods for nearly incompressible elasticity, image processing problems, approximation of thin plate splines and Stokes problems. 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. 

He 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 in 2018 November 27--30. He was re-elected as the Chair of the CMG group again  from the Annual General Meeting of CMG during the CTAC conference in Newcastle. 

Research Expertise
Numerical Methods for Partial Differential Equations, Mixed and Hybrid Finite Element Methods, Domain Decomposition Methods, Non-conforming Discretization Techniques, Nearly Incompressible Elasticity, Approximation Theory, Subset Selection & Variational Methods in Image Processing.


Qualifications

  • Doktor Der Naturwissenschaften (equiv PhD), Universitat Stuttgart
  • Master of Science, Universitat Kaiserslautern

Keywords

  • Approximation Theory
  • Differential Equations
  • Domain Decomposition
  • Finite Element Method
  • Mathematical Modelling
  • Mixed and Hybrid Finite Element Methods
  • Mortar Finite Element
  • Numerical Analysis
  • Numerical Analysis
  • Numerical Method for Nearly Incompressible Elasticity
  • Vector Calculus

Languages

  • German (Fluent)
  • Hindi (Fluent)
  • Nepali (Fluent)

Fields of Research

Code Description Percentage
010302 Numerical Solution of Differential and Integral Equations 20
010301 Numerical Analysis 60
010110 Partial Differential Equations 20

Professional Experience

UON Appointment

Title Organisation / Department
Senior Lecturer University of Newcastle
School of Mathematical and Physical Sciences
Australia
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Book (1 outputs)

Year Citation Altmetrics Link
2011 Lamichhane BP, Higher Order Mortar Finite Elements with Dual Lagrange Multipliers: Theory and Applications of Higher Order Mortar Finite Element Techniques, Lambert Academic Publishers, Saarbrucken, 200 (2011) [A2]

Chapter (2 outputs)

Year Citation Altmetrics Link
2012 Lamichhane BP, 'Two finite element methods for nearly incompressible linear elasticity using simplicial meshes', Advances in Mathematics Research, Nova Science, New York 157-187 (2012) [B1]
2009 Lamichhane BP, Rebollo-Neira L, 'Projection and interpolation based techniques for structured and impulsive noise filtering', New Signal Procesing Research, Nova Science Publisher, New York 127-158 (2009) [B1]

Journal article (44 outputs)

Year Citation Altmetrics Link
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, 19 591-597 (2018) [C1]
DOI 10.1002/acm2.12419
Co-authors Fred Menk, Peter Greer
2018 Banz L, Lamichhane BP, Stephan EP, 'Higher order FEM for the obstacle problem of the p-Laplacian¿A variational inequality approach', Computers and Mathematics with Applications, 76 1639-1660 (2018) [C1]
DOI 10.1016/j.camwa.2018.07.016
2018 Banz L, Lamichhane BP, Stephan EP, 'Higher Order Mixed FEM for the Obstacle Problem of the p-Laplace Equation Using Biorthogonal Systems', Computational Methods in Applied Mathematics, (2018)

© 2018 Walter de Gruyter GmbH, Berlin/Boston 2018 p-Laplace Obstacle Problem. We consider a mixed finite element method for an obstacle problem with the p-Laplace differential ope... [more]

© 2018 Walter de Gruyter GmbH, Berlin/Boston 2018 p-Laplace Obstacle Problem. We consider a mixed finite element method for an obstacle problem with the p-Laplace differential operator for p ¿ (1 ,8), where the obstacle condition is imposed by using a Lagrange multiplier. In the discrete setting the Lagrange multiplier basis forms a biorthogonal system with the standard finite element basis so that the variational inequality can be realized in the point-wise form. We provide a general a posteriori error estimate for adaptivity and prove an a priori error estimate. We present numerical results for the adaptive scheme (mesh-size adaptivity with and without polynomial degree adaptation) for the singular case p = 1.5 {p=1.5} and the degenerated case p = 3 {p=3} . We also present numerical results on the mesh independency and on the polynomial degree scaling of the discrete inf-sup constant when using biorthogonal basis functions for the dual variable defined on the same mesh with the same polynomial degree distribution.

DOI 10.1515/cmam-2018-0015
Citations Scopus - 1
2018 Ilyas M, Meylan MH, Lamichhane B, Bennetts LG, 'Time-domain and modal response of ice shelves to wave forcing using the finite element method', Journal of Fluids and Structures, 80 113-131 (2018) [C1]

© 2018 Elsevier Ltd The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions a... [more]

© 2018 Elsevier Ltd The frequency-domain and time-domain 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 non-local 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.

DOI 10.1016/j.jfluidstructs.2018.03.010
Citations Scopus - 2
Co-authors Mike Meylan
2018 Droniou J, Lamichhane BP, Shylaja D, 'The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations', Journal of Scientific Computing, (2018)

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. In this paper, we propose a unified framework, the Hessian discretisation method (HDM), which is based on fo... [more]

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. In this paper, we propose a unified framework, the Hessian discretisation method (HDM), which is based on four discrete elements (called altogether a Hessian discretisation) and a few intrinsic indicators of accuracy, independent of the considered model. An error estimate is obtained, using only these intrinsic indicators, when the HDM framework is applied to linear fourth order problems. It is shown that HDM encompasses a large number of numerical methods for fourth order elliptic problems: finite element methods (conforming and non-conforming) as well as finite volume methods. We also use the HDM to design a novel method, based on conforming P1finite element space and gradient recovery operators. Results of numerical experiments are presented for this novel scheme and for a finite volume scheme.

DOI 10.1007/s10915-018-0814-7
2017 Lamichhane BP, 'A NEW MINIMIZATION PRINCIPLE FOR THE POISSON EQUATION LEADING TO A FLEXIBLE FINITE ELEMENT APPROACH', ANZIAM JOURNAL, 59 232-239 (2017) [C1]
DOI 10.1017/S144618111700030X
2017 Le KN, McLean W, Lamichhane B, 'FINITE ELEMENT APPROXIMATION of A TIME-FRACTIONAL DIFFUSION PROBLEM for A DOMAIN with A RE-ENTRANT CORNER', ANZIAM Journal, 59 61-82 (2017) [C1]

© 2017 Australian Mathematical Society. An initial-boundary value problem for a time-fractional diffusion equation is discretized in space, using continuous piecewise-linear finit... [more]

© 2017 Australian Mathematical Society. An initial-boundary value problem for a time-fractional diffusion equation is discretized in space, using continuous piecewise-linear finite elements on a domain with a re-entrant 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 second-order accurate if quasi-uniform triangulations are used. We prove that a suitable local mesh refinement about the re-entrant corner restores second-order convergence. In this way, we generalize known results for the classical heat equation.

DOI 10.1017/S1446181116000365
Citations Scopus - 2Web of Science - 2
2017 Lamichhane BP, 'A quadrilateral 'mini' finite element for the stokes problem using a single bubble function', International Journal of Numerical Analysis and Modeling, 14 869-878 (2017) [C1]
2017 Lamichhane BP, Gross L, 'Inversion of geophysical potential field data using the finite element method', INVERSE PROBLEMS, 33 (2017) [C1]
DOI 10.1088/1361-6420/aa8cb0
Citations Scopus - 1Web of Science - 1
2017 Banz L, Lamichhane BP, Stephan EP, 'A new three-field formulation of the biharmonic problem and its finite element discretization', NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 33 199-217 (2017) [C1]
DOI 10.1002/num.22082
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 20-42 (2016) [C1]

© 2015, Springer Science+Business Media New York. The thin plate spline method is a widely used data fitting technique as it has the ability to smooth noisy data. Here we consider... [more]

© 2015, Springer Science+Business Media New York. 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 in-terms 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.

DOI 10.1007/s10915-015-0068-6
Citations Scopus - 1Web of Science - 1
2015 Lamichhane BP, 'A quadrilateral 'mini' finite element for the Stokes problem using a single bubble function.', CoRR, abs/1507.04417 (2015) [O1]
2015 Lamichhane BP, 'A new stabilization technique for the nonconforming Crouzeix-Raviart element applied to linear elasticity', APPLIED MATHEMATICS LETTERS, 39 35-41 (2015) [C1]
DOI 10.1016/j.aml.2014.08.005
Citations Scopus - 3Web of Science - 3
2015 Droniou J, Lamichhane BP, 'Gradient schemes for linear and non-linear elasticity equations', NUMERISCHE MATHEMATIK, 129 251-277 (2015) [C1]
DOI 10.1007/s00211-014-0636-y
Citations Scopus - 8Web of Science - 7
2015 Lamichhane BP, McNeilly A, 'Approximation Properties of a Gradient Recovery Operator Using a Biorthogonal System', Advances in Numerical Analysis, 2015 1-7 (2015) [C1]
DOI 10.1155/2015/187604
2014 Lamichhane BP, 'A finite element method for a biharmonic equation based on gradient recovery operators', BIT NUMERICAL MATHEMATICS, 54 469-484 (2014) [C1]
DOI 10.1007/s10543-013-0462-0
Citations Scopus - 5Web of Science - 4
2014 Lamichhane BP, 'A stabilized mixed finite element method based on g-biorthogonal systems for nearly incompressible elasticity', COMPUTERS & STRUCTURES, 140 48-54 (2014) [C1]
DOI 10.1016/j.compstruc.2014.02.008
Citations Scopus - 5Web of Science - 5
2014 Lamichhane BP, 'A nonconforming finite element method for the Stokes equations using the Crouzeix-Raviart element for the velocity and the standard linear element for the pressure', INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 74 222-228 (2014) [C1]
DOI 10.1002/fld.3848
Citations Scopus - 3Web of Science - 3
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 82-85 (2014) [C1]
DOI 10.1016/j.aml.2013.11.008
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, 260 356-363 (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 element-wise 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.

DOI 10.1016/j.cam.2013.09.056
Citations Scopus - 5Web of Science - 4
2013 Lamichhane BP, 'A New Finite Element Method for Darcy-Stokes-Brinkman Equations', ISRN Computational Mathematics, 2013 1-4 (2013) [C1]
2013 Lamichhane BP, 'Two simple finite element methods for Reissner-Mindlin plates with clamped boundary condition', Applied Numerical Mathematics, 72 91-98 (2013) [C1]

We present two simple finite element methods for the discretization of Reissner-Mindlin 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 Reissner-Mindlin 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 so-called 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 so-called 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.

DOI 10.1016/j.apnum.2013.04.005
Citations Scopus - 2Web of Science - 2
2013 Lamichhane BP, McBride AT, Reddy BD, 'A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems', Computer Methods in Applied Mechanics and Engineering, 258 109-117 (2013) [C1]

We consider a mixed finite element method based on simplicial triangulations for a three-field formulation of linear elasticity. The three-field formulation is based on three unkn... [more]

We consider a mixed finite element method based on simplicial triangulations for a three-field formulation of linear elasticity. The three-field 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 saddle-point system leading to a symmetric and positive-definite system. The strain and stress can be recovered in a post-processing 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.

DOI 10.1016/j.cma.2013.02.008
Citations Scopus - 3Web of Science - 3
2013 Lamichhane BP, 'Mixed Finite Element Methods for the Poisson Equation Using Biorthogonal and Quasi-Biorthogonal Systems', Advances in Numerical Analysis, 2013 1-9 (2013) [C1]
DOI 10.1155/2013/189045
2011 Lamichhane BP, 'A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems', Journal of Computational and Applied Mathematics, 235 5188-5197 (2011) [C1]
DOI 10.1016/j.cam.2011.05.005
Citations Scopus - 9Web of Science - 6
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 1336-1353 (2011) [C1]
DOI 10.1002/num.20683
Citations Scopus - 6Web of Science - 5
2011 Lamichhane BP, 'A mixed finite element method for the biharmonic problem using biorthogonal or quasi-biorthogonal systems', Journal of Scientific Computing, 46 379-396 (2011) [C1]
DOI 10.1007/s10915-010-9409-7
Citations Scopus - 4Web of Science - 4
2010 Lamichhane BP, 'A gradient recovery operator based on an oblique projection', Electronic Transactions on Numerical Analysis, 37 166-172 (2010) [C1]
Citations Scopus - 1Web of Science - 1
2009 Lamichhane BP, 'Mortar finite elements for coupling compressible and nearly incompressible materials in elasticity', INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 6 177-192 (2009) [C1]
Citations Scopus - 4Web of Science - 3
2009 Falletta S, Lamichhane BP, 'Mortar finite elements for a heat transfer problem on sliding meshes', CALCOLO, 46 131-148 (2009) [C1]
DOI 10.1007/s10092-009-0001-1
Citations Scopus - 2Web of Science - 1
2009 Lamichhane BP, 'A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems', INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 79 870-886 (2009) [C1]
DOI 10.1002/nme.2594
Citations Scopus - 8Web of Science - 9
2009 Lamichhane BP, 'From the Hu-Washizu formulation to the average nodal strain formulation', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 198 3957-3961 (2009) [C1]
DOI 10.1016/j.cma.2009.09.008
Citations Scopus - 12Web of Science - 12
2009 Lamichhane BP, 'Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity', IMA JOURNAL OF NUMERICAL ANALYSIS, 29 404-420 (2009) [C1]
DOI 10.1093/imanum/drn013
Citations Scopus - 22Web of Science - 17
2009 Lamichhane BP, 'Finite Element Techniques for Removing the Mixture of Gaussian and Impulsive Noise', IEEE TRANSACTIONS ON SIGNAL PROCESSING, 57 2538-2547 (2009) [C2]
DOI 10.1109/TSP.2009.2016272
Citations Scopus - 6Web of Science - 3
2008 Lamichhane BP, 'A mixed finite element method based on a biorthogonal system for nearly incompressible elastic problems', ANZIAM Journal, 50 324-338 (2008) [C1]
DOI 10.0000/anziamj.v50i0.1422
Citations Scopus - 5
2007 Chavan KS, Lamichhane BP, Wohlmuth BI, 'Locking-free finite element methods for linear and nonlinear elasticity in 2D and 3D', Computer Methods in Applied Mechanics and Engineering, 196 4075-4086 (2007)

The uniform convergence of finite element approximations based on a modified Hu-Washizu 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 Hu-Washizu formulation for the nearly incompressible linear elasticity is analyzed. We show the optimal and robust convergence of the displacement-based 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 three-field problem, we extend our a-dependent three-field formulation to geometrically nonlinear elasticity with Saint-Venant Kirchhoff law. Additionally, an a-dependent three-field 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.

DOI 10.1016/j.cma.2007.03.022
Citations Scopus - 16
2006 Lamichhane BP, Wohlmuth BI, 'Biorthogonal bases with local support and approximation properties', MATHEMATICS OF COMPUTATION, 76 233-249 (2006)
Citations Scopus - 16Web of Science - 6
2006 Lamichhane BP, Reddy BD, Wohlmuth BI, 'Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation', NUMERISCHE MATHEMATIK, 104 151-175 (2006)
DOI 10.1007/s00211-006-0014-5
Citations Scopus - 25Web of Science - 22
2006 Djoko JK, Lamichhane BP, Reddy BD, Wohmuth BI, 'Conditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limit', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 195 4161-4178 (2006)
DOI 10.1016/j.cma.2005.07.018
Citations Scopus - 30Web of Science - 28
2005 Lamichhane BP, Stevenson RP, Wohlmuth BI, 'Higher order mortar finite element methods in 3D with dual lagrange multiplier bases', NUMERISCHE MATHEMATIK, 102 93-121 (2005)
DOI 10.1007/s00211-005-0636-z
Citations Scopus - 25Web of Science - 17
2004 Lamichhane BP, Wohlmuth BI, 'Mortar finite elements for interface problems', COMPUTING, 72 333-348 (2004)
DOI 10.1007/s00607-003-0062-y
Citations Scopus - 31Web of Science - 31
2004 Lamichhane BP, Wohlmuth BI, 'A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D', ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 38 73-92 (2004)
DOI 10.1051/m2an:2004004
Citations Scopus - 3Web of Science - 2
2002 Lamichhane BP, Wohlmuth BI, 'Higher order dual Lagrange multiplier spaces for mortar finite element discretizations', CALCOLO, 39 219-237 (2002)
DOI 10.1007/s100920200010
Citations Scopus - 11Web of Science - 10
'OUP accepted manuscript', Ima Journal Of Numerical Analysis,
DOI 10.1093/imanum/drx066
Show 41 more journal articles

Conference (8 outputs)

Year Citation Altmetrics Link
2017 Lamichhane BP, Kumar A, Kalyanaraman B, 'A mixed finite element method for elliptic optimal control problems using a three-field formulation', ANZIAM Journal : Electronic Supplement (2017)
DOI 10.21914/anziamj.v59i0.12643
2016 Lamichhane BP, Ilyas M, Meylan M, 'A gradient recovery method based on an oblique projection and boundary modification', Melbourne (2016)
Co-authors Mike Meylan
2016 Lamichhane BP, Stals L, 'Applications of a finite element discretisation of thin plate splines', ANZIAM Journal, Canberra (2016) [C1]
DOI 10.0000/anziamj.v56i0.9368
2015 Lamichhane BP, 'Removing a mixture of Gaussian and impulsive noise using the total variation functional and split Bregman iterative method', ANZIAM Journal (2015)
DOI 10.21914/anziamj.v56i0.9316
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]
Citations Scopus - 1
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 thin-plate splines', Proceedings of the Fifteenth Biennial Conference on Computational Techniques and Applications Conference (CTAC10), Sydney, Australia (2011) [E1]
Citations Scopus - 3
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)
Citations Scopus - 2
Show 5 more conferences
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Grants and Funding

Summary

Number of grants 1
Total funding $20,000

Click on a grant title below to expand the full details for that specific grant.


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
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Research Supervision

Number of supervisions

Completed0
Current8

Current Supervision

Commenced Level of Study Research Title Program Supervisor Type
2018 PhD Continuum Modelling of Eukaryotic Cells PhD (Mathematics), Faculty of Science, The University of Newcastle Co-Supervisor
2018 Masters Investigating the Dynamics of Human Relationships and Emotions using a Mathematical Theory for Social Networks M Philosophy (Mathematics), Faculty of Science, The University of Newcastle Co-Supervisor
2018 PhD Mathematical Modeling of Invasive Species and Further Applications in Biological Problems PhD (Mathematics), Faculty of Science, The University of Newcastle Co-Supervisor
2018 PhD Mathematical Modelling of Dye-Sensitised Solar Cells PhD (Mathematics), Faculty of Science, The University of Newcastle Co-Supervisor
2018 PhD Stability Analysis of Ballasted Tracks Under Flooded Conditions PhD (Mathematics), Faculty of Science, The University of Newcastle Co-Supervisor
2017 PhD Differential Equations and Harmonic Analysis PhD (Engineering), Faculty of Engineering and Built Environment, The University of Newcastle Co-Supervisor
2015 PhD Proximal Point Algorithms, Dynamical Systems, And Associated Operators: Modern Perspectives From Experimental Mathematics PhD (Mathematics), Faculty of Science, The University of Newcastle Principal Supervisor
2015 PhD Finite Element Methods and Multi-field Applications PhD (Mathematics), Faculty of Science, The University of Newcastle Principal Supervisor
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Research Collaborations

The map is a representation of a researchers co-authorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one co-author 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 34
Germany 13
Austria 3
South Africa 3
United Kingdom 1
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Dr Bishnu Lamichhane

Position

Senior Lecturer
School of Mathematical and Physical Sciences
Faculty of Science

Focus area

Mathematics

Contact Details

Email bishnu.lamichhane@newcastle.edu.au
Phone (61-2) 49215529
Mobile 0422437170
Fax (61-2) 4921 6898

Office

Room MC165
Building McMullin Building MC165
Location Callaghan NSW 2308 Australia
University Drive
Callaghan, NSW 2308
Australia
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