Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron.

DOI10.1016/S1631-073X(03)00138-9zbMath1113.78300WikidataQ58841938 ScholiaQ58841938MaRDI QIDQ1408188

Monique Dauge, Martin Costabel, Annalisa Buffa

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items

ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA, HIGH-ORDER GALERKIN APPROXIMATIONS FOR PARAMETRIC SECOND-ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, Weighted analytic regularity in polyhedra, Hölder regularity for Maxwell's equations under minimal assumptions on the coefficients, EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS, Regularity estimates and optimal finite element methods in \(W_p^1\) on polygonal domains, Properties of solutions to a harmonic-mapping type equation with a Dirichlet boundary condition, Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries, An anisotropic finite element method on polyhedral domains: Interpolation error analysis, Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains, A priori analysis of an anisotropic finite element method for elliptic equations in polyhedral domains, Algebraic convergence for anisotropic edge elements in polyhedral domains, The $W^1_p$ stability of the Ritz projection on graded meshes, Weighted Sobolev spaces and regularity for polyhedral domains

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