Numerical analysis of a non-singular boundary integral method: Part II: The general case

DOI10.1002/mma.302zbMath1007.65099OpenAlexW4232272145MaRDI QIDQ4539449

Jacques Rappaz, Pierre Dreyfuss

Publication date: 8 July 2002

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

Full work available at URL: https://doi.org/10.1002/mma.302

zbMATH Keywords

stabilityconvergenceDirichlet problemboundary integral methoderror boundsLaplace equation

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)

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Cites Work

• A Galerkin collocation method for some integral equations of the first kind
• Numerical analysis of a non-singular boundary integral method: Part I. The circular case
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• A regular indirect boundary element method for thermal analysis
• Condition number of matrices derived from two classes of integral equations
• Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
• A fully discrete and symmetric boundary element method
• Acoustic and electromagnetic equations. Integral representations for harmonic problems