Some Discrete Methods for Boundary Integral Equations on Smooth Closed Curves

DOI10.1137/0732070zbMath0839.65131OpenAlexW2031674618MaRDI QIDQ4857624

L. Schroderus, Jukka Saranen

Publication date: 16 June 1996

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732070

zbMATH Keywords

stabilityconvergenceconsistencyboundary integral equationsexponential convergencePetrov-Galerkin methodsquadrature methodshypersingular equationCauchy singular integral equationSymm's equationdiscrete trigonometric methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Convergence results for discrete trigonometric collocation methods with product integration in Hölder-Zygmund spaces ⋮ On the optimal rate of convergence of the projection-iterative method and some generalizations of it on a class of equations with smoothing operators ⋮ On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities ⋮ The exact order of information-based complexity of weakly singular integral equations with periodic analytic coefficients

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