On the essential norm of the double layer potential on polyhedral domains and the stability of the collocation method

DOI10.1216/jiea/1020254673zbMath1009.65073OpenAlexW2029178564MaRDI QIDQ1607580

Olaf Hansen

Publication date: 14 October 2002

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL13-3/CONT13-3/CONT13-3.html

zbMATH Keywords

stabilitycollocation methoddouble layer potentialpolyhedral domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

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

Cites Work

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• Integral operators in potential theory
• Layer potentials on boundaries with corners and edges
• On Spline Approximation for a Class of Non‐Compact Integral Equations
• Piecewise Continuous Collocation for Integral Equations
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• 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
• The Numerical Solution of Integral Equations of the Second Kind
• Some examples concerning applicability of the Fredholm-Radon method in potential theory

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