Abstract green formula and applications to boundary integral equations

DOI10.1080/01630569708816786zbMath0898.35031OpenAlexW1968700695MaRDI QIDQ4385277

Maryse Bourlard, Serge Nicaise

Publication date: 13 October 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816786

zbMATH Keywords

boundary integral equationstransmission problemsplate problemsabstract Green formula

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Variational methods for higher-order elliptic equations (35J35)

Related Items

Boundary value problems and integral operators for the bi-Laplacian in non-smooth domains ⋮ Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results ⋮ On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ The biharmonic Neumann problem in Lipschitz domains ⋮ On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions

Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• A finite element method for some integral equations of the first kind
• An Adapted Boundary Element Method for the Dirichlet Problem in Polygonal Domains
• An adapted Galerkin method for the resolution of Dirichlet and Neumann problems in a polygonal domain
• Strong ellipticity of boundary integral operators.
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Abstract green formula and applications to boundary integral equations