Generalized alternating‐direction collocation methods for parabolic equations. III. Nonrectangular domains

Michael Anthony Celia, George F. Pinder

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The alternating‐direction collocation (ADC) method is an efficient numerical approximation technique for the solution of parabolic partial differential equations. However, to date the ADC method has only been developed for rectangular discretizations. With judicious combination of isoparametric coordinate transformations and an extended ADC approach, the ADC method can be formulated on general nonrectangular domains. This extends the applicability of the ADC method by allowing it to be employed on domains of more general geometry.

Original languageEnglish (US)
Pages (from-to)231-243
Number of pages13
JournalNumerical Methods for Partial Differential Equations
Volume6
Issue number3
DOIs
StatePublished - Jan 1 1990

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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