Numerical analysis of a non-singular boundary integral method: Part I. The circular case

DOI10.1002/mma.245zbMath0992.65132OpenAlexW2106136673MaRDI QIDQ2744195

Jacques Rappaz, Pierre Dreyfuss

Publication date: 19 September 2001

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.245

zbMATH Keywords

stabilityconvergenceDirichlet problemGalerkin methoderror estimatesboundary integral methodquadrature formulaLaplace equationpotential layer

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Numerical analysis of a non-singular boundary integral method: Part II: The general case ⋮ On the choice of source points in the method of fundamental solutions

Cites Work

• A Galerkin collocation method for some integral equations of the first kind
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• A regular indirect boundary element method for thermal analysis
• Condition number of matrices derived from two classes of integral equations
• Variational Formulations for the Determination of Resonant States in Scattering Problems
• Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
• A fully discrete and symmetric boundary element method

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