The collocation method for mixed boundary value problems on domains with curved polygonal boundaries

DOI10.1007/s002110050267zbMath0878.65102OpenAlexW2058405244MaRDI QIDQ1358160

O. Diekmann

Publication date: 30 June 1997

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

Full work available at URL: https://doi.org/10.1007/s002110050267

zbMATH Keywords

stabilityconvergencecollocation methodboundary integral equationLaplace equationpolygonal domainsMellin transform techniquemixed Dirichlet-Neumann boundary value problemmesh grading transformation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

A numerical method for the solution of exterior Neumann problems for the Laplace equation in domains with corners ⋮ The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains ⋮ A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains ⋮ Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem ⋮ A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners ⋮ Optimal order collocation for the mixed boundary value problem on polygons ⋮ A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries ⋮ A Nyström method for integral equations with fixed singularities of Mellin type in weighted \(L^p\) spaces ⋮ An integral equation method for the numerical analysis of gravity waves in a channel with free boundary ⋮ A Nyström method for mixed boundary value problems in domains with corners

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