ISSN:
1070-5325
Keywords:
second order elliptic problems
;
Dirichlet boundary conditions
;
mixed finite elements
;
preconditioning
;
domain embedding
;
auxiliary space method
;
non-conforming finite elements
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
Notes:
In this paper we study block diagonal preconditioners for mixed systems derived from the Dirichlet problems for second order elliptic equations. The main purpose is to discuss how an embedding of the original computational domain into a simpler extended can be utilized in this case. We show that a family of uniform preconditioners for the corresponding problem on the extended, or fictitious, domain leads directly to uniform preconditioners for the original problem. This is in contrast to the situation for the standard finite element method, where the domain embedding approach for the Dirichlet problem is less obvious. Copyright © 1999 John Wiley & Sons, Ltd.
Additional Material:
1 Ill.
Type of Medium:
Electronic Resource
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