Strongly elliptic boundary integral equations for electromagnetic transmission problems

DOI10.1017/S0308210500027773zbMath0669.35032MaRDI QIDQ3822571

Martin Costabel, Ernst Peter Stephan

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceuniquenesscompact perturbationsMaxwell's equationsboundary integral equationsExistenceGalerkin approximationstransmission problempseudo-differential equationselectromagnetic scattering problemsStrong ellipticity

Mathematics Subject Classification ID

Related Items (11)

Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle ⋮ Pseudodifferential Operators on Compact Manifolds with Lipschitz Boundary ⋮ Boundary integral equations for the scattering of electromagnetic waves by a homogeneous chiral obstacle ⋮ Ap-hierarchical error estimator for a fe–be coupling formulation applied to electromagnetic scattering problems in ℝ³ ⋮ A boundary element method for electromagnetic transmission problems ⋮ Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem ⋮ A coercive bilinear form for Maxwell's equations ⋮ Boundary layer method for solving full Maxwell equations in the presence of an electromagnetic inhomogeneity of small diameter ⋮ A posteriori error estimates for FEM-BEM couplings of three-dimensional electromagnetic problems ⋮ Adaptive FE-BE coupling for an electromagnetic problem in ℝ3-A residual error estimator ⋮ Boundary integral operators for the heat equation

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• Boundary integral equations for magnetic screens in ℝ³
• Transmission problems for the Helmholtz equation
• Constructive proofs of representation theorems in separable Hilbert space
• Singular Integrals and Boundary Value Problems

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