Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement

DOI10.1216/jiea/1181074209zbMath0916.65109OpenAlexW2031668753MaRDI QIDQ1273741

K. Appert

Publication date: 6 July 1999

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

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL10-1/Cont10-1/Cont10-1.html

zbMATH Keywords

collocation methoderror estimatesboundary integral equationsPetrov-Galerkin methodqualocation method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Ian Sloan’s Legacy in Integral Equation Methods ⋮ An asymptotic series approach to qualocation methods ⋮ Stability of qualocation methods for elliptic boundary integral equations ⋮ Spline approximation of a non-linear Riemann–Hilbert problem† ⋮ The tolerant qualocation method for variable-coefficient elliptic equations on curves ⋮ Qualocation

Cites Work

• Spline qualocation methods for boundary integral equations
• A quadrature-based approach to improving the collocation method for splines of even degree
• The convergence of spline collocation for strongly elliptic equations on curves
• A quadrature-based approach to improving the collocation method
• Qualocation methods for elliptic boundary integral equations
• An unconventional quadrature method for logarithmic-kernel integral equations on closed curves
• Properties of certain trigonometric series arising in numerical analysis
• On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• Local Error Estimates for Some Petrov-Galerkin Methods Applied to Strongly Elliptic Equations on Curves
• Quadrature methods for logarithmic-kernel integral equations on closed curves
• A fully discrete and symmetric boundary element method
• The Qualocation Method for Symm's Integral Equation on a Polygon
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement