Abstract
We generalize the overlapping Schwarz domain decomposition method to problems of linear elasticity. The convergence rate independent of the mesh size, coarse-space size, Korn's constant and essential boundary conditions is proved here. Abstract convergence bounds developed here can be used for an analysis of the method applied to singular perturbations of other elliptic problems.
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Janka, A. Algebraic domain decomposition solver for linear elasticity. Applications of Mathematics 44, 435–458 (1999). https://doi.org/10.1023/A:1022272804816
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DOI: https://doi.org/10.1023/A:1022272804816