Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

DOI10.1007/s00211-021-01256-xzbMath1486.31004arXiv2105.11383OpenAlexW3164464322MaRDI QIDQ2117300

Simon N. Chandler-Wilde, Euan A. Spence

Publication date: 21 March 2022

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11383

zbMATH Keywords

Galerkin methodDirichlet problem for the Laplaciandouble-layer operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (3)

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? ⋮ On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains ⋮ Recent Advances in Acoustic Boundary Element Methods

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