The boundary element spline collocation for nonuniform meshes on the torus

DOI10.1007/S00211-006-0055-9zbMath1119.65120OpenAlexW2030655833MaRDI QIDQ879921

Juha Anttila, Jukka Saranen

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1007/s00211-006-0055-9

zbMATH Keywords

stabilityconvergenceboundary element methodcollocation methodstensor product splinesequations on torusstrongly elliptic pseudodifferential operators

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Related Items (1)

A spline collocation method for parabolic pseudodifferential equations

Cites Work

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• A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero
• Spline approximation methods for multidimensional periodic pseudodifferential equations
• Spline collocation for strongly elliptic equations on the torus
• On the Asymptotic Convergence of Collocation Methods
• On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations
• Finite Element Analysis of a Scattering Problem
• Error Analysis of a Boundary Element Collocation Method for a Screen Problem in ℝ 3 .
• A Generalization of the Arnold‐Wendland Lemma to a Modified Collocation Method for Boundary Integral Equations in ℝ³

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