%0 Journal Article %1 citeulike:2822272 %A Janka, Ales %D 2008 %I Springer Berlin / Heidelberg %J Computing and Visualization in Science %K 76d07-stokes-and-related-oseen-etc-flows 65n55-pdes-bvps-multigrid-methods-domain-decomposition %N 3 %P 169--180 %R 10.1007/s00791-007-0068-7 %T Smoothed Aggregation Multigrid for a Stokes Problem %U http://dx.doi.org/10.1007/s00791-007-0068-7 %V 11 %X We discuss advantages of using algebraic multigrid based on smoothed aggregation for solving indefinite linear problems. The ingredients of smoothed aggregation are used to construct a black-box monolithic multigrid method with indefinite coarse problems. Several techniques enforcing inf–sup stability conditions on coarse levels are presented. Numerical experiments are designed to support recent stability results for coupled algebraic multigrid. Comparison of the proposed multigrid preconditioner with other methods shows its robust behaviour even for very elongated geometries, where the pressure mass matrix is no longer a good preconditioner for the pressure Schur complement.

@article{citeulike:2822272, abstract = {{We discuss advantages of using algebraic multigrid based on smoothed aggregation for solving indefinite linear problems. The ingredients of smoothed aggregation are used to construct a black-box monolithic multigrid method with indefinite coarse problems. Several techniques enforcing inf–sup stability conditions on coarse levels are presented. Numerical experiments are designed to support recent stability results for coupled algebraic multigrid. Comparison of the proposed multigrid preconditioner with other methods shows its robust behaviour even for very elongated geometries, where the pressure mass matrix is no longer a good preconditioner for the pressure Schur complement.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Janka, Ale\v{s}}, biburl = {https://www.bibsonomy.org/bibtex/2ee9df569eed8028d194ad7ac213d1ffc/gdmcbain}, citeulike-article-id = {2822272}, citeulike-attachment-1 = {stokesAMGComputVisSci.pdf; /pdf/user/gdmcbain/article/2822272/631816/stokesAMGComputVisSci.pdf; f9a346a0e1a6960a6f8fa717d421926585da83e9}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s00791-007-0068-7}, citeulike-linkout-1 = {http://www.ingentaconnect.com/content/klu/791/2008/00000011/00000003/00000068}, citeulike-linkout-2 = {http://www.springerlink.com/content/k43614j8uj6v2854}, day = 1, doi = {10.1007/s00791-007-0068-7}, file = {stokesAMGComputVisSci.pdf}, interhash = {034cef641aaa4500fbfba6f0ba87cec0}, intrahash = {ee9df569eed8028d194ad7ac213d1ffc}, issn = {1432-9360}, journal = {Computing and Visualization in Science}, keywords = {76d07-stokes-and-related-oseen-etc-flows 65n55-pdes-bvps-multigrid-methods-domain-decomposition}, month = may, number = 3, pages = {169--180}, posted-at = {2011-03-29 01:56:43}, priority = {2}, publisher = {Springer Berlin / Heidelberg}, timestamp = {2019-02-28T23:46:00.000+0100}, title = {Smoothed Aggregation Multigrid for a {S}tokes Problem}, url = {http://dx.doi.org/10.1007/s00791-007-0068-7}, volume = 11, year = 2008 }