Computing

, Volume 26, Issue 2, pp 91–105 | Cite as

An adaptive, multi-level method for elliptic boundary value problems

  • R. E. Bank
  • A. H. Sherman
Article

Abstract

Subroutine PLTMG is a Fortran program for solving self-adjoint elliptic boundary value problems in general regions ofR2. It is based on a piecewise linear triangle finite element method, an adaptive grid refinement procedure, and a multi-level iterative method to solve the resulting sets of linear equations. In this work we describe the method and present some numerical results and comparisons.

AMS (MOS) Subject Classifications (1970)

65N20 

Key words

Adaptive mesh refinement multigrid methods finite element methods 

Eine adaptive mehrstufige Methode für elliptische Randwertprobleme

Zusammenfassung

Das Unterprogramm PLTMG ist ein FORTRAN-Programm zur Lösung selbstadjungierter elliptischer Randwertprobleme für beliebige Bereiche desR2. Es basiert auf einer stückweise-linearen Finite-Element-Methode, einer adaptiven Gitterverfeinerungsmethode und einer mehrstufigen iterativen Methode zur Lösung des resultierenden Systems linearer Gleichungen. In dieser Arbeit wird die Methode beschrieben, und einige numerische Ergebnisse und Vergleiche werden dargelegt.

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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • R. E. Bank
    • 2
  • A. H. Sherman
    • 1
  1. 1.Department of Computer SciencesUniversity of Texas at AustinAustinUSA
  2. 2.Department of MathematicsUniversity of Texas at AustinAustinUSA

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