An alternating-direction collocation method for finite element approximations on rectangles

DOI10.1016/0898-1221(80)90058-9zbMath0441.65084OpenAlexW2060088245MaRDI QIDQ1143148

Linda J. Hayes

Publication date: 1980

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(80)90058-9

zbMATH Keywords

finite element methodsalternating-direction finite element collocation procedurealternating-direction procedure

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Orthogonal collocation solution of biharmonic equations ⋮ Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles ⋮ Alternating-direction collocation for rectangular regions ⋮ \(C^ 1-\)collation and continuity requirements ⋮ Orthogonal spline collocation methods for partial differential equations

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A collocation method for boundary value problems
• A collocation finite element method for potential problems in irregular domains