A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra
From MaRDI portal
Publication:4986814
DOI10.1137/20M1318912zbMath1464.35341arXiv2002.05575OpenAlexW3146448360MaRDI QIDQ4986814
Publication date: 28 April 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.05575
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Cites Work
- A mass-lumped mixed finite element method for acoustic wave propagation
- Semigroups of linear operators and applications to partial differential equations
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- Super-convergence and post-processing for mixed finite element approximations of the wave equation
- An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Analysis of a Finite Element Method for Maxwell’s Equations
- Éléments finis d'arête et condensation de masse pour les équations de Maxwell: le cas de dimension 3
- New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
- Time-discrete finite element schemes for Maxwell's equations
- Mixed Finite Element Methods and Applications
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra