Optimal order collocation for the mixed boundary value problem on polygons

DOI10.1090/S0025-5718-00-01209-6zbMath0963.65115MaRDI QIDQ2701554

Pascal Laubin

Publication date: 19 February 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

stabilitysplinesnumerical exampleserror boundspolygonal domainoptimal ordermixed Dirichlet-Neumann problemFix collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• The Dirichlet problem in non-smooth domains
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• An optimal order collocation method for first kind boundary integral equations on polygons
• The collocation method for mixed boundary value problems on domains with curved polygonal boundaries
• High order convergence for collocation of second kind boundary integral equations on polygons
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On the integral equation method for the plane mixed boundary value problem of the Laplacian
• The Neumann problem on Lipschitz domains
• Spline Collocation for a Boundary Integral Equation on Polygons with Cuts
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