Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem

In this paper we present new efficient variants of structured 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.

• Type: Journal
• Year: 2008
• Where: JSCIC
• Authors: Micol Pennacchio, Valeria Simoncini
• Keywords: Algebraic Linear Systems, Degenerate Problem, JSCIC 2008, Mortar Discretization