Qualocation methods for elliptic boundary integral equations

DOI10.1007/s002110050347zbMath0908.65104OpenAlexW1998857537MaRDI QIDQ1128222

Ian H. Sloan, Wolfgang L. Wendland

Publication date: 4 March 1999

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

Full work available at URL: https://doi.org/10.1007/s002110050347

zbMATH Keywords

error boundscollocationsingular integral equationpseudodifferential equationselliptic boundary integral equationsqualocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (13)

High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs. ⋮ Ian Sloan’s Legacy in Integral Equation Methods ⋮ An asymptotic series approach to qualocation methods ⋮ Stability of qualocation methods for elliptic boundary integral equations ⋮ Qualocation for boundary integral equations using splines with multiple knots ⋮ Dirac delta methods for Helmholtz transmission problems ⋮ Superapproximation and commutator properties of discrete orthogonal projections for continuous splines ⋮ On the numerical solution of linear evolution problems with an integral operator coefficient ⋮ The tolerant qualocation method for variable-coefficient elliptic equations on curves ⋮ Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement ⋮ Commutator properties for periodic splines ⋮ Qualocation ⋮ Discrete orthogonal projections on multiple knot periodic splines

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