Qualocation for boundary integral equations using splines with multiple knots

DOI10.1216/JIEA/1181075367zbMath1138.65106OpenAlexW2064227880MaRDI QIDQ2476441

Ian H. Sloan, Rolf Dieter Grigorieff

Publication date: 20 March 2008

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075367

zbMATH Keywords

convergencequalocationboundary integral equationsperiodic pseudodifferential operatorsinverse stability estimatessplines with multiple knotsvariable coefficient operators

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary value problems for PDEs with pseudodifferential operators (35S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Spline qualocation methods for boundary integral equations
• Qualocation methods for elliptic boundary integral equations
• Multiwavelet approximation methods for pseudodifferential equations on curves. Stability and convergence analysis
• Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations
• Spline qualocation methods for variable-coefficient elliptic equations on curves
• Boundary element collocation methods using splines with multiple knots
• Discrete orthogonal projections on multiple knot periodic splines
• Ein Lokalisierungsprinzip in der Theorie der Spline-Approximationen und einige Anwendungen

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