Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem

  • Authors:

  • Micol Pennacchio;Valeria Simoncini

  • Affiliations:

  • Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Pavia, Italy 27100;Dipartimento di Matematica and CIRSA, Università di Bologna, Bologna, Italy 40127 and IMATI-CNR, Pavia, Italy

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2008

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Abstract

In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The new approaches extend and adapt the idea of substructuring preconditioners to the discretization of a degenerate problem in electrocardiology. A polylogarithmic bound for the condition number of the preconditioned matrix is proved and validated by numerical experiments.