Auxiliary space preconditioners for linear elasticity based on generalized finite element methods

Mathematics – Numerical Analysis

Scientific paper

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14 pages, 1 figure, submitted NLAA March 8, 2010

Scientific paper

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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