Abstract
AbstractThis paper presents a flexible approach to domain decomposition preconditioning for problems expressed in terms of local stiffness 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 stiffness matrices only. The method is applied to the p‐version finite element method for three‐dimensional elasticity. We treat each element as a subdomain and compute explicit convergence bounds.
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