An auxiliary space preconditioner for linear elasticity based on the generalized finite element method |
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| Authors: | James Brannick Durkbin Cho |
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| Affiliation: | 1. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, U.S.A.;2. Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata 1, 27100 Pavia, Italy |
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| Abstract: | We construct and analyze a preconditioner of the linear elasticity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxiliary space preconditioner is based on two auxiliary spaces corresponding to discretizations of the scalar Poisson equation by linear finite elements and the generalized finite element method. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | linear elasticity preconditioning auxiliary space |
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