The normal dervative of the double layer potential on polygons and galerkin approximation

DOI10.1080/00036818308839470zbMath0508.31003OpenAlexW1989773863WikidataQ58300478 ScholiaQ58300478MaRDI QIDQ4746062

Martin Costabel, Ernst Peter Stephan

Publication date: 1983

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818308839470

zbMATH Keywords

corner singularitiesdouble layer potentialhypersingular integral operatorGalerkin approximationMellin transformation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Analyticity in context of PDEs (35A20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Singular integral equations (45E99)

Related Items (6)

A direct boundary integral equation method for transmission problems ⋮ The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes ⋮ A quadrature method for the hypersingular integral equation on an interval ⋮ Pointwise convergence of some boundary element methods. Part II ⋮ A Posteriori Error Estimates for Boundary Element Methods ⋮ The h-p version of the boundary element method with geometric mesh on polygonal domains

Cites Work

• Boundary integral solutions of three dimensional acoustic radiation problems
• Constructive proofs of representation theorems in separable Hilbert space
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