2024 |
Lamichhane BP, Ruiz-Baier R, Villa-Fuentes S, 'New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability', Results in Applied Mathematics, 21 (2024) [C1]
We propose four-field and five-field Hu¿Washizu-type mixed formulations for nonlinear poroelasticity ¿ a coupled fluid diffusion and solid deformation process ¿ considering that t... [more]
We propose four-field and five-field Hu¿Washizu-type mixed formulations for nonlinear poroelasticity ¿ a coupled fluid diffusion and solid deformation process ¿ considering that the permeability depends on a linear combination between fluid pressure and dilation. As the determination of the physical strains is necessary, the first formulation is written in terms of the primal unknowns of solid displacement and pore fluid pressure as well as the poroelastic stress and the infinitesimal strain, and it considers strongly symmetric Cauchy stresses. The second formulation imposes stress symmetry in a weak sense and it requires the additional unknown of solid rotation tensor. We study the unique solvability of the problem using the Banach fixed-point theory, properties of twofold saddle-point problems, and the Banach¿Necas¿Babu¿ka theory. We propose monolithic Galerkin discretisations based on conforming Arnold¿Winther for poroelastic stress and displacement, and either PEERS or Arnold¿Falk¿Winther finite element families for the stress¿displacement-rotation field variables. The wellposedness of the discrete problem is established as well, and we show a priori error estimates in the natural norms. Some numerical examples are provided to confirm the rates of convergence predicted by the theory, and we also illustrate the use of the formulation in some typical tests in Biot poroelasticity.
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Nova |
2023 |
Phonlakrai M, Ramadan S, Simpson J, Gholizadeh N, Arm J, Skehan K, et al., 'Determination of hepatic extraction fraction with gadoxetate low-temporal resolution DCE-MRI-based deconvolution analysis: validation with ALBI score and Child-Pugh class.', Journal of medical radiation sciences, 70 Suppl 2 48-58 (2023) [C1]
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Nova |
2023 |
Lamichhane BP, 'A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems.', MethodsX, 10 101962 (2023) [C1]
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Nova |
2023 |
Lamichhane BP, Shaw-Carmody JA, 'A local projection stabilization for convection-diffusion-reaction equations using biorthogonal systems', ANZIAM Journal, 64 205-226 (2023) [C1]
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Nova |
2023 |
Nesbitt K, Aziz F, Mahoney M, Chalup S, Lamichhane BP, 'Classifying coke using CT scans and landmark multidimensional scaling', INTERNATIONAL JOURNAL OF COAL SCIENCE & TECHNOLOGY, 10 (2023) [C1]
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Nova |
2022 |
Bissaker E, Lamichhane B, Jenkins D, 'Connectivity aware simulated annealing kernel methods for coke microstructure generation', ANZIAM Journal, 63 C123-C137 [C1]
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Nova |
2022 |
Barnes MP, Sun B, Oborn BM, Lamichhane B, Szwec S, Schmidt M, et al., 'Determination of the electronic portal imaging device pixel-sensitivity-map for quality assurance applications. Part 1: Comparison of methods.', Journal of applied clinical medical physics, 23 e13603 (2022) [C1]
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Nova |
2022 |
Barnes MP, Sun B, Oborn BM, Lamichhane B, Szwec S, Schmidt M, et al., 'Determination of the electronic portal imaging device pixel-sensitivity-map for quality assurance applications. Part 2: Photon beam dependence.', Journal of applied clinical medical physics, 23 e13602 (2022) [C1]
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Nova |
2022 |
Heshamuddin M, Rao N, Lamichhane BP, Kilicman A, Ayman-Mursaleen M, 'On One- and Two-Dimensional alpha-Stancu-Schurer-Kantorovich Operators and Their Approximation Properties', MATHEMATICS, 10 (2022) [C1]
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Nova |
2022 |
Georgiou F, Buhl J, Green JEF, Lamichhane B, Thamwattana N, 'Modelling foraging competition between solitarious and gregarious organisms in increasingly heterogeneous environments', JOURNAL OF INSECT PHYSIOLOGY, 143 [C1]
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Nova |
2022 |
Georgiou FH, Lamichhane B, Thamwattana N, Buhl J, Green E, 'A numerical scheme for non-local aggregation with non-linear diffusion and approximations of social potential', ANZIAM Journal, 62 C242-C255 (2022) [C1]
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Nova |
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 2429-2445 (2021) [C1]
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Nova |
2021 |
Lamichhane BP, Shaw-Carmody 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.
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Nova |
2021 |
Georgiou F, Buhl J, Green JEF, Lamichhane B, Thamwattana N, 'Modelling locust foraging: How and why food affects group formation (vol 17, e1008353, 2021)', PLOS COMPUTATIONAL BIOLOGY, 17 (2021)
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2021 |
Georgiou F, Buhl J, Green JEF, Lamichhane B, Thamwattana N, 'Modelling locust foraging: How and why food affects group formation', PLoS Computational Biology, 17 (2021) [C1]
Locusts are short horned grasshoppers that exhibit two behaviour types depending on their local population density. These are: solitarious, where they will actively avoid other lo... [more]
Locusts are short horned grasshoppers that exhibit two behaviour types depending on their local population density. These are: solitarious, where they will actively avoid other locusts, and gregarious where they will seek them out. It is in this gregarious state that locusts can form massive and destructive flying swarms or plagues. However, these swarms are usually preceded by the aggregation of juvenile wingless locust nymphs. In this paper we attempt to understand how the distribution of food resources affect the group formation process. We do this by introducing a multi-population partial differential equation model that includes non-local locust interactions, local locust and food interactions, and gregarisation. Our results suggest that, food acts to increase the maximum density of locust groups, lowers the percentage of the population that needs to be gregarious for group formation, and decreases both the required density of locusts and time for group formation around an optimal food width. Finally, by looking at foraging efficiency within the numerical experiments we find that there exists a foraging advantage to being gregarious.
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Nova |
2021 |
Meylan MH, Ilyas M, Lamichhane BP, Bennetts LG, 'Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed', Proceedings of the Royal Society B: Biological Sciences, 477 (2021) [C1]
A solution method is developed for a linear model of ice shelf flexural vibrations in response to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf va... [more]
A solution method is developed for a linear model of ice shelf flexural vibrations in response to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf vary over distance, and the ice shelf/sub-ice-shelf cavity are connected to the open ocean. The method combines a decomposition of the ice shelf displacement profile at a prescribed frequency of motion into mode shapes of free vibrations, a finite-element method for the cavity water motion and a non-local operator to connect to the open ocean. An investigation is conducted into the effects of ice shelf thickening, seabed shoaling and the grounding-line conditions on time-harmonic ice shelf vibrations, induced by regular incident waves in the swell regime. Furthermore, results are given for ice shelf vibrations in response to irregular incident waves by superposing time-harmonic responses, and ocean-to-ice-shelf transfer functions are derived. The findings add to evidence that ice shelves experience appreciable flexural vibrations in response to swell, and that ice shelf thickening and seabed shoaling can have a considerable influence on predictions of how ice shelves respond to ocean waves.
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Nova |
2021 |
Farrell PE, Gatica LF, Lamichhane BP, Oyarzua R, Ruiz-Baier R, 'Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 374 (2021) [C1]
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Nova |
2021 |
Aggarwal R, Lamichhane BP, Meylan MH, Wensrich CM, 'An Investigation of Radial Basis Function Method for Strain Reconstruction by Energy-Resolved Neutron Imaging', APPLIED SCIENCES-BASEL, 11 (2021) [C1]
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Nova |
2021 |
Kalyanaraman B, Meylan MH, Lamichhane BP, Bennetts LG, 'iceFEM: A FreeFem package for wave induced ice-shelf vibrations.', Journal of Open Source Software, 6 (2021) [C1]
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Nova |
2021 |
Lamichhane BP, Harris E, Le Gia QT, 'Approximation of noisy data using multivariate splines and finite element methods', Journal of Algorithms and Computational Technology, 15 (2021) [C1]
We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are def... [more]
We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are defined as the minimiser of a penalised least squares functional. The penalties are based on partial differential operators, and are integrated using the finite element method. We compare three methods to two problems: to remove the mixture of Gaussian and impulsive noise from an image, and to recover a continuous function from a set of noisy observations.
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Nova |
2021 |
Kalyanaraman B, Meylan MH, Lamichhane B, 'Coupled Brinkman and Kozeny Carman model for railway ballast washout using the finite element method', Journal of the Royal Society of New Zealand, 51 375-388 (2021) [C1]
This study investigates the use of a nonlinear model based on the penalisation approach to couple fluid flow and porous media flow. The problem is formulated using a unified Brink... [more]
This study investigates the use of a nonlinear model based on the penalisation approach to couple fluid flow and porous media flow. The problem is formulated using a unified Brinkman equation on the domain with a nonlinear permeability which is given a function of porosity, which in turn is governed by an advection equation. The permeability is assumed to be governed by the Kozeny¿Carman equation which relates the permeability with the average grain size and porosity. The model is solved using an adaptive finite element method in space and the method of characteristics in time. Finally, numerical examples are provided to illustrate the model and discuss possible extensions.
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Nova |
2021 |
Maldon B, Lamichhane BP, Thamwattana N, 'NUMERICAL SOLUTIONS to A FRACTIONAL DIFFUSION EQUATION USED in MODELLING DYE-SENSITIZED SOLAR CELLS', ANZIAM Journal, 63 420-433 (2021) [C1]
Dye-sensitized solar cells consistently provide a cost-effective avenue for sources of renewable energy, primarily due to their unique utilization of nanoporous semiconductors. Th... [more]
Dye-sensitized solar cells consistently provide a cost-effective avenue for sources of renewable energy, primarily due to their unique utilization of nanoporous semiconductors. Through mathematical modelling, we are able to uncover insights into electron transport to optimize the operating efficiency of the dye-sensitized solar cells. In particular, fractional diffusion equations create a link between electron density and porosity of the nanoporous semiconductors. We numerically solve a fractional diffusion model using a finite-difference method and a finite-element method to discretize space and an implicit finite-difference method to discretize time. Finally, we calculate the accuracy of each method by evaluating the numerical errors under grid refinement.
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Nova |
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]
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Nova |
2020 |
Tran-Duc T, Meylan MH, Thamwattana N, Lamichhane BP, 'Wave Interaction and Overwash with a Flexible Plate by Smoothed Particle Hydrodynamics', WATER, 12 (2020) [C1]
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Nova |
2020 |
Kalyanaraman B, Meylan MH, Bennetts LG, Lamichhane BP, 'A coupled fluid-elasticity model for the wave forcing of an ice-shelf', Journal of Fluids and Structures, 97 (2020) [C1]
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Nova |
2019 |
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, 19 169-188 (2019) [C1]
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Nova |
2019 |
Lamichhane BP, Lindstrom SB, Sims B, 'APPLICATION OF PROJECTION ALGORITHMS TO DIFFERENTIAL EQUATIONS: BOUNDARY VALUE PROBLEMS', ANZIAM JOURNAL, 61 23-46 (2019) [C1]
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Nova |
2019 |
Georgiou F, Lamichhane B, Thamwattana N, 'An adaptive numerical scheme for a partial integro-differential equation', ANZIAM Journal, 60 C187-C200 (2019) [C1]
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Nova |
2019 |
Kalyanaraman B, Bennetts LG, Lamichhane B, Meylan MH, 'On the shallow-water limit for modelling ocean-wave induced ice-shelf vibrations', Wave Motion, 90 1-16 (2019) [C1]
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Nova |
2019 |
Droniou J, Ilyas M, Lamichhane BP, Wheeler GE, 'A mixed finite element method for a sixth-order elliptic problem', IMA Journal of Numerical Analysis, 39 374-397 (2019) [C1]
We consider a saddle-point formulation for a sixth-order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Cia... [more]
We consider a saddle-point formulation for a sixth-order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciarlet-Raviart formulation for the biharmonic problem to formulate our saddle-point problem and the finite element method. The new formulation allows us to use the H1-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.
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Nova |
2019 |
Droniou J, Lamichhane BP, Shylaja D, 'The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations', JOURNAL OF SCIENTIFIC COMPUTING, 78 1405-1437 (2019) [C1]
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Nova |
2018 |
Lamichhane B, Williams J, Zanganeh J, Kundu S, Moghtaderi B, 'The Fundamentals of Theoretical Modelling of Gas Explosion -- A Review', American Journal of Engineering Research, (2018)
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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]
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Nova |
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]
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Nova |
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]
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 i... [more]
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.
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Nova |
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]
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Nova |
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]
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... [more]
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.
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Nova |
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]
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Nova |
2017 |
Lamichhane BP, Gross L, 'Inversion of geophysical potential field data using the finite element method', INVERSE PROBLEMS, 33 (2017) [C1]
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Nova |
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]
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Nova |
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]
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Nova |
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]
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 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.
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Nova |
2016 |
Ilyas M, Lamichhane BP, 'A stabilized mixed finite element method for Poisson problem based on a three-field formulation', ANZIAM Journal, 57 C177-C192 (2016) [C1]
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Nova |
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]
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Nova |
2015 |
Droniou J, Lamichhane BP, 'Gradient schemes for linear and non-linear elasticity equations', NUMERISCHE MATHEMATIK, 129 251-277 (2015) [C1]
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Nova |
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]
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Nova |
2014 |
Lamichhane BP, 'A finite element method for a biharmonic equation based on gradient recovery operators', BIT NUMERICAL MATHEMATICS, 54 469-484 (2014) [C1]
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Nova |
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]
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Nova |
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]
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Nova |
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]
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Nova |
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.
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Nova |
2013 |
Lamichhane BP, 'A New Finite Element Method for Darcy-Stokes-Brinkman Equations', ISRN Computational Mathematics, 2013 1-4 (2013) [C1] |
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Nova |
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.
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Nova |
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.
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Nova |
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]
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Nova |
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]
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Nova |
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]
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Nova |
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]
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Nova |
2010 |
Lamichhane BP, 'A gradient recovery operator based on an oblique projection', Electronic Transactions on Numerical Analysis, 37 166-172 (2010) [C1]
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Nova |
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]
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2009 |
Falletta S, Lamichhane BP, 'Mortar finite elements for a heat transfer problem on sliding meshes', CALCOLO, 46 131-148 (2009) [C1]
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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]
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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]
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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]
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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]
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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]
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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.
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2006 |
Lamichhane BP, Wohlmuth BI, 'Biorthogonal bases with local support and approximation properties', MATHEMATICS OF COMPUTATION, 76 233-249 (2006)
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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)
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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)
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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)
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2004 |
Lamichhane BP, Wohlmuth BI, 'Mortar finite elements for interface problems', COMPUTING, 72 333-348 (2004)
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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)
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2002 |
Lamichhane BP, Wohlmuth BI, 'Higher order dual Lagrange multiplier spaces for mortar finite element discretizations', CALCOLO, 39 219-237 (2002)
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