The nonconforming virtual element method for the Stokes equations

A Cangiani, V Gyrya, G Manzini - SIAM Journal on Numerical Analysis, 2016 - SIAM
We present the nonconforming virtual element method (VEM) for the numerical
approximation of velocity and pressure in the steady Stokes problem. The pressure is …

[图书][B] Generalized barycentric coordinates in computer graphics and computational mechanics

K Hormann, N Sukumar - 2017 - books.google.com
In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …

Compact high-order stencils with optimal accuracy for numerical solutions of 2-D time-independent elasticity equations

A Idesman, B Dey - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
A new approach for the increase in the order of accuracy of high-order numerical techniques
used for time-independent elasticity is suggested on uniform square and rectangular …

New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements

A Idesman, B Dey - Journal of Computational Physics, 2020 - Elsevier
A new approach for the increase in the order of accuracy of high order elements used for the
time dependent heat equation and for the time independent Poisson equation has been …

Optimal reduction of numerical dispersion for wave propagation problems. Part 1: Application to 1-D isogeometric elements

A Idesman - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
A numerical technique with the optimal coefficients of the stencil equation has been
suggested. Based on this approach, new high-order isogeometric elements with the reduced …

Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation

M Maier, D Margetis, M Luskin - Journal of Computational Physics, 2017 - Elsevier
We formulate and validate a finite element approach to the propagation of a slowly decaying
electromagnetic wave, called surface plasmon–polariton, excited along a conducting sheet …

Accurate numerical solutions of 2-d elastodynamics problems using compact high-order stencils

A Idesman, B Dey - Computers & Structures, 2020 - Elsevier
A new approach for the increase in the order of accuracy of high-order numerical techniques
used for 2-D time-dependent elasticity (structural dynamics and wave propagation) has …

Energy stable nodal discontinuous Galerkin methods for nonlinear Maxwell's equations in multi-dimensions

M Lyu, VA Bokil, Y Cheng, F Li - Journal of Scientific Computing, 2021 - Springer
In this work, we extend the energy stable discontinuous Galerkin (DG) schemes proposed in
Bokil et al.(J Comput Phys 350: 420–452, 2017), for the time domain Maxwell's equations …

A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations

JH Adler, C Cavanaugh, X Hu, LT Zikatanov - SIAM Journal on Scientific …, 2021 - SIAM
Maxwell's equations are a system of partial differential equations that govern the laws of
electromagnetic induction. We study a mimetic finite-difference (MFD) discretization of the …

The virtual element method for resistive magnetohydrodynamics

SN Alvarez, V Bokil, V Gyrya, G Manzini - Computer Methods in Applied …, 2021 - Elsevier
We present a virtual element method (VEM) for the numerical approximation of the
electromagnetics subsystem of the resistive magnetohydrodynamics (MHD) model in two …