Domain Decomposition and Mixed Finite Element Methods for Elliptic Problems. Glowinkski, R. & Wheeler, M. F. In Glowinski, R., Golub, G. H., Meurant, G. A., & Périaux, J., editors, *Domain Decomposition Methods for Partial Differential Equations*, pages 144–172, 1988.

Paper abstract bibtex

Paper abstract bibtex

In this paper we describe the numerical solution of elliptic problems with nonconstant coefficients by domain decomposition methods based on mixed formulation and mixed finite element approximations. Two families of conjugate gradient algorithms taking advantage of domain decomposition will be discussed and their performance will be evaluated through numerical experiments, some of them concerning practical situations arising from flow in porous media.

@inproceedings{citeulike:7424474, abstract = {{In this paper we describe the numerical solution of elliptic problems with nonconstant coefficients by domain decomposition methods based on mixed formulation and mixed finite element approximations. Two families of conjugate gradient algorithms taking advantage of domain decomposition will be discussed and their performance will be evaluated through numerical experiments, some of them concerning practical situations arising from flow in porous media.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Glowinkski, Roland and Wheeler, Mary F.}, biburl = {https://www.bibsonomy.org/bibtex/23664ad7c95de18ffd65341c699e73165/gdmcbain}, booktitle = {Domain Decomposition Methods for Partial Differential Equations}, citeulike-article-id = {7424474}, citeulike-attachment-1 = {glowinkski_88_domain_513431.pdf; /pdf/user/gdmcbain/article/7424474/513431/glowinkski_88_domain_513431.pdf; 94d6b06d3db5abfca86732655bbe7d065f4d788e}, citeulike-linkout-0 = {http://www.ddm.org/DD01/Domain\_Decomposition\_and\_Mixed\_Finite\_Element\_Methods\_for\_Elliptic\_Problems.pdf}, comment = {(private-note)cited by Mathew (2008, p. 179) for balancing domain decomposition preconditioning providing a natural coarse space}, editor = {Glowinski, R. and Golub, G. H. and Meurant, G. A. and P\'{e}riaux, J.}, file = {glowinkski_88_domain_513431.pdf}, interhash = {fa13956737c8235af44d64941867eef5}, intrahash = {3664ad7c95de18ffd65341c699e73165}, isbn = {0-89871-220-3}, keywords = {65n55-pdes-bvps-multigrid-methods-domain-decomposition 65n30-pdes-bvps-finite-elements,}, location = {Paris}, pages = {144--172}, posted-at = {2010-07-07 01:48:23}, priority = {3}, privnote = {cited by Mathew (2008, p. 179) for balancing domain decomposition preconditioning providing a natural coarse space}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {{Domain Decomposition and Mixed Finite Element Methods for Elliptic Problems}}, url = {http://www.ddm.org/DD01/Domain\_Decomposition\_and\_Mixed\_Finite\_Element\_Methods\_for\_Elliptic\_Problems.pdf}, year = 1988 }

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