Spline collocation for strongly elliptic equations on the torus

DOI10.1007/BF01396241zbMath0767.65079MaRDI QIDQ1203420

William McLean, Martin Costabel

Publication date: 8 February 1993

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

Full work available at URL: https://eudml.org/doc/133662

zbMATH Keywords

convergencecollocation methodSobolev spaceserror estimatestorustensor product splinesperiodic boundary conditionsboundary integral operatorsstrongly elliptic pseudodifferential equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

Time discretization of parabolic boundary integral equations ⋮ Convergence of boundary element collocation methods for dirichlet and neumann screen problems in R³ ⋮ The boundary element spline collocation for nonuniform meshes on the torus ⋮ Semi-discrete Galerkin approximations for the single-layer equation on Lipschitz curves ⋮ Isogeometric boundary element analysis using unstructured T-splines ⋮ Spline approximation methods for multidimensional periodic pseudodifferential equations ⋮ The tolerant qualocation method for variable-coefficient elliptic equations on curves ⋮ Fast isogeometric boundary element method based on independent field approximation ⋮ A fully-discrete trigonometric collocation method ⋮ Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations ⋮ Quadrature methods for 2D and 3D problems ⋮ Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence

Cites Work

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