Analysis of finite element approximation for time-dependent Maxwell problems
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Publication:4813575
DOI10.1090/S0025-5718-03-01603-XzbMath1119.65392OpenAlexW1974123304MaRDI QIDQ4813575
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01603-x
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25)
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Cites Work
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- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Semigroups of linear operators and applications to partial differential equations
- Mixed finite elements in \(\mathbb{R}^3\)
- Study of an implicit scheme for integrating Maxwell's equations
- Éléments finis mixtes incompressibles pour l'équation de Stokes dans \(R^ 3\).
- An interface problem in a domain of \(\mathbb{R}^3\)
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- On a finite-element method for solving the three-dimensional Maxwell equations
- Fortin operator and discrete compactness for edge elements
- Some Estimates for a Weighted L 2 Projection
- Finite Element Methods for Navier-Stokes Equations
- Singularities of Maxwell interface problems
- A Mixed Method for Approximating Maxwell’s Equations
- Analysis of a Finite Element Method for Maxwell’s Equations
- Semidiscrete and single step fully discrete approximations for second order hyperbolic equations
- Vector potentials in three-dimensional non-smooth domains
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- General interface problems—I
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- Time-discrete finite element schemes for Maxwell's equations
- Using finite element tools in proving shift theorems for elliptic boundary value problems
