Auxiliary space preconditioners for linear elasticity based on generalized finite element methods
James Brannick, Durkbin Cho
TL;DR
This paper develops an auxiliary space preconditioner for linear elasticity problems discretized with conforming linear finite elements, leveraging a generalized finite element method for scalar elliptic equations to improve computational efficiency.
Contribution
It introduces a novel auxiliary space preconditioner for linear elasticity that integrates generalized finite element methods, enhancing solver performance.
Findings
The preconditioner effectively accelerates convergence of linear elasticity solvers.
Numerical experiments demonstrate improved computational efficiency.
The method is theoretically analyzed within the auxiliary space framework.
Abstract
We construct and analyze a preconditioner of the linear elastiity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxiliary space preconditioner is based on discretization of a scalar elliptic equation with Generalized Finite Element Method.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Matrix Theory and Algorithms