The K-Operator and the Galerkin Method for Strongly Elliptic Equations on Smooth Curves: Local Estimates

DOI10.2307/2153436zbMath0831.65121OpenAlexW1968995441MaRDI QIDQ4846004

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Publication date: 21 August 1995

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153436

zbMATH Keywords

Galerkin methodsuperconvergenceSymm's integral equationsmooth curvestrongly elliptic pseudodifferential equationsspline Galerkin approximations\(K\)- operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary value problems for PDEs with pseudodifferential operators (35S15) Boundary element methods for boundary value problems involving PDEs (65N38)

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Local convergence of the boundary element method on polyhedral domains ⋮ Localization and post processing for the Galerkin boundary element method applied to three-dimensional screen problems ⋮ Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium ⋮ Local Convergence of the FEM for the Integral Fractional Laplacian ⋮ A new predictor-corrector scheme for valuing American puts ⋮ Analysis of hypersingular residual error estimates in boundary element methods for potential problems ⋮ The \(K\)-operator and the qualocation method for strongly elliptic equations on smooth curves

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