A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains
DOI10.1007/s10444-007-9027-6zbMath1151.78369OpenAlexW2040640082MaRDI QIDQ930350
Publication date: 30 June 2008
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-007-9027-6
domain decompositionMaxwell's equationsunbounded domainsboundary integralNédélec finite elementsD-N alternation
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Boundary element methods applied to problems in optics and electromagnetic theory (78M15)
Cites Work
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- Mixed finite elements in \(\mathbb{R}^3\)
- Inverse acoustic and electromagnetic scattering theory.
- Boundary element methods for Maxwell transmission problems in Lipschitz domains
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
- An iterative substructuring method for Maxwell's equations in two dimensions
- Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 1: The Continuous Problem
- Finite Element Methods for Navier-Stokes Equations
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions
- A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions
- Finite Element Methods for Maxwell's Equations
- Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
- Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- A solution method for a certain nonlinear interface problem in unbounded domains
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