Alternating-direction collocation for rectangular regions

DOI10.1016/0045-7825(81)90133-XzbMath0468.65061OpenAlexW2024025005MaRDI QIDQ1156466

S. H. Smith

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90133-x

zbMATH Keywords

finite elementcollocationalternating-direction

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Compact ADI method for solving parabolic differential equations ⋮ Orthogonal collocation solution of biharmonic equations ⋮ Orthogonal spline collocation methods for partial differential equations

Cites Work

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

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