An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
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Publication:2367499
DOI10.1016/0377-0427(93)90093-QzbMath0784.65091MaRDI QIDQ2367499
Publication date: 16 August 1993
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)
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Cites Work
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- A mixed finite element formulation for Maxwell's equations in the time domain
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- Mixed finite elements in \(\mathbb{R}^3\)
- Éléments finis mixtes incompressibles pour l'équation de Stokes dans \(R^ 3\).
- A finite element method for approximating the time-harmonic Maxwell equations
- On the \(p\)- and \(hp\)-extension of Nédélec's curl-conforming elements
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Finite Element Methods for Navier-Stokes Equations
- On the application of mixed finite element methods to the wave equations
- Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3
- Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media
- A Mixed Method for Approximating Maxwell’s Equations
- Eigenvalue Approximation by a Mixed Method for Resonant Inhomogeneous Cavities with Metallic Boundaries
- Analysis of a Finite Element Method for Maxwell’s Equations
- A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
- An isomorphic property of two Hilbert spaces appearing in electromagnetism: Analysis by the mixed formulation
- Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem