Mixed explicit‐implicit iterative finite element scheme for diffusion‐type problems: II. Solution strategy and examples

T. N. Narasimhan, Shlomo P Neuman, A. L. Edwards

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

In Part I1 of this paper we have established local stability and convergence criteria for the mixed explicit‐implicit finite element scheme and have shown that the proposed iterative method converges under certain conditions. Part II describes various practical aspects of the solution strategy such as convergence criteria for terminating the iterations, automatic control of time step size, reclassification of nodes from explicit to implicit during execution, estimation of time derivatives, and automatic adjustment of the implicit weight factor. Several examples are included to demonstrate certain aspects of the theory and illustrate the capabilities of the new approach.

Original languageEnglish (US)
Pages (from-to)325-344
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Volume11
Issue number2
DOIs
StatePublished - 1977

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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