Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations

DOI10.1007/BF01385658zbMath0724.65134MaRDI QIDQ758176

Reinhold Schneider

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/133534

zbMATH Keywords

stabilityspline collocation methodasymptotic convergence estimatestrongly elliptic multidimensional singular integral equationstrongly elliptic zero order pseudodifferential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Pseudodifferential operators (47G30)

Related Items (4)

Time discretization of parabolic boundary integral equations ⋮ Convergence of boundary element collocation methods for dirichlet and neumann screen problems in R³ ⋮ Spline approximation methods for multidimensional periodic pseudodifferential equations ⋮ Fast isogeometric boundary element method based on independent field approximation

Cites Work

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• On ε-Collocation for Pseudodifferential Equations on a Closed Curve
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• Strong ellipticity of boundary integral operators.
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Error estimates for a discretized Galerkin method for a boundary integral equation in two dimensions

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