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Multigrid for the Mortar Finite Element Method
SIAM Journal on Numerical Analysis
  • Jay Gopalakrishnan, Portland State University
  • Joseph E. Pasciak, Texas A & M University - College Station
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  • Student teachers,
  • Mathematics -- Study and teaching,
  • Number concept,
  • Algorithms
A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently triangulated in a multilevel fashion. The multilevel mortar finite element spaces based on such triangulations (which need not align across subdomain interfaces) are in general not nested. Suitable grid transfer operators and smoothers are developed which lead to a variable Vcycle preconditioner resulting in a uniformly preconditioned algebraic system. Computational results illustrating the theory are also presented.

This is the publisher's final PDF. This article was first published in SIAM Journal on Numerical Analysis, 2004, Vol. 37 Issue 3, p1029-1052.

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Gopalakrishnan, J., & Pasciak, J. E. (2000). Multigrid for the Mortar Finite Element Method. SIAM Journal On Numerical Analysis, 37(3), 1029.