Boundary integral operators for plate bending in domains with corners

DOI10.4171/ZAA/1007zbMath0971.31004OpenAlexW1977873685MaRDI QIDQ5938154

Gunther Schmidt

Publication date: 31 October 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1007

zbMATH Keywords

boundary integral equationbiharmonic equationplate bendingboundary integral operator

Mathematics Subject Classification ID

Plates (74K20) Integral operators (47G10) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (2)

Boundary value problems and integral operators for the bi-Laplacian in non-smooth domains ⋮ Nonlinear partial differential equations of fourth order under mixed boundary conditions

Cites Work

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• A direct boundary integral equation method for transmission problems
• Invertibility of the biharmonic single layer potential operator
• The direct boundary element method in plate bending
• Strong ellipticity of boundary integral operators.
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• An Investigation of a Pair of Integral Equations for the Biharmonic Problem
• A new system of boundary integral equations for plates with free edges
• Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains

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