A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids

  • Authors:
  • Francesca Rapetti;Andrea Toselli

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 2001

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Abstract

A class of FETI methods for the mortar approximation of a vector field problem in two dimensions is proposed. Edge element discretizations of lowest degree are considered. The method proposed can be employed with geometrically conforming and nonconforming partitions. Our numerical results show that its condition number increases only with the number of unknowns in each subdomain and is independent of the number of subdomains and the size of the problem.