TWO-LEVEL DOMAIN DECOMPOSITION PRECONDITIONING FOR THE p-VERSION FINITE ELEMENT METHOD IN THREE DIMENSIONS
نویسنده
چکیده
This paper presents a exible approach to domain decomposition preconditioning for problems expressed in terms of local stiiness matrices of subdomains. Evaluation of the preconditioner requires fully parallelizable local computations and the solution of a global auxiliary problem with few variables per subdomain. Convergence factors can be bounded using properties of the local stiiness matrices only. The method is applied to the p-version nite element method for three-dimensional elasticity. We treat each element as a subdomain and compute explicit convergence bounds.
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