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Two-level Additive Schwarz Preconditioners for Nonconforming Finite Element Methods |
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| Authors: | Susanne C Brenner |
| Institution: | Department of Mathematics and Computer Science, Clarkson University, Potsdam, New York 13699-5815 |
| Abstract: | Two-level additive Schwarz preconditioners are developed for the nonconforming P1 finite element approximation of scalar second-order symmetric positive definite elliptic boundary value problems, the Morley finite element approximation of the biharmonic equation, and the divergence-free nonconforming P1 finite element approximation of the stationary Stokes equations. The condition numbers of the preconditioned systems are shown to be bounded independent of mesh sizes and the number of subdomains in the case of generous overlap. |
| Keywords: | Domain decomposition additive Schwarz preconditioner nonconforming finite elements Laplace equation biharmonic equation stationary Stokes equations |
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