Finite Section Method for the Double Layer Potential Operator over Polyhedral Boundaries

DOI10.1002/mana.19921570102zbMath0812.65102OpenAlexW2068203400MaRDI QIDQ4024469

Andreas Rathsfeld

Publication date: 20 April 1993

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19921570102

zbMATH Keywords

boundary integral equationLaplace equationfinite section methodsingularity subtraction methoddouble layer potential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• Unnamed Item
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Invertibility of boundary integral operators of elasticity on surfaces with conic points
• Die Behandlung von Randwertaufgaben im \(R_ 3\) mit Hilfe von Einfach-und Doppelschichtpotentialen
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• The double-layer potential operator over polyhedral domains II: Spline Galerkin methods
• The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces
• The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method

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