Geodesic
Algebraic domain decomposition solver for linear elasticity
Applications of Mathematics, Tome 44 (1999) no. 6, pp. 435-458.

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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.
DOI : 10.1023/A:1022272804816
Classification : 65F10, 65N55, 74B05, 74S05
Keywords: algebraic multigrid; zero energy modes; convergence theory; finite elements; computational mechanics; iterative solvers 
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     title = {Algebraic domain decomposition solver for linear elasticity},
     journal = {Applications of Mathematics},
     pages = {435--458},
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     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022272804816/}
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Janka, Aleš. Algebraic domain decomposition solver for linear elasticity. Applications of Mathematics, Tome 44 (1999) no. 6, pp. 435-458. doi : 10.1023/A:1022272804816. http://geodesic.mathdoc.fr/articles/10.1023/A:1022272804816/

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