The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers

Nathan Collier, David Pardo, Lisandro D. Dalcín, Maciej R. Paszyński, Victor M. Calo

Research output: Contribution to journalArticlepeer-review

96 Scopus citations

Abstract

We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. © 2011 Elsevier B.V.
Original languageEnglish (US)
Pages (from-to)353-361
Number of pages9
JournalComputer Methods in Applied Mechanics and Engineering
Volume213-216
DOIs
StatePublished - Mar 2012

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications

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