{"volume":8,"publisher":"VSP BV","publication":"EAST WEST JOURNAL OF NUMERICAL MATHEMATICS","page":"223-242","main_file_link":[{"url":"https://www.researchgate.net/publication/268251851_Multigrid_methods_based_on_matrix-dependent_coarse_spaces_for_nonconforming_streamline-diffusion_finite_element_discretization_of_convection-diffusion_problems"}],"year":"2000","date_updated":"2024-07-25T13:41:28Z","type":"journal_article","author":[{"first_name":"Svetozara","last_name":"Petrova","full_name":"Petrova, Svetozara","id":"201871"},{"first_name":"L.","last_name":"Tobiska","full_name":"Tobiska, L."},{"first_name":"P.S.","last_name":"Vassilevski","full_name":"Vassilevski, P.S."}],"status":"public","publication_identifier":{"issn":["1570-2820"]},"user_id":"220548","intvolume":"         8","date_created":"2024-07-04T11:33:57Z","_id":"4766","title":"Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems","abstract":[{"lang":"eng","text":"We apply the streamline-diffusion finite element method for solving convection-diffusion problems. Nonconforming quadrilateral finite elements proposed by Rannacher and Turek are used to discretize the problem. We consider a construction of a pure algebraic multigrid procedure for the solution of the resulting discrete system. The existence of hierarchy of grids is exploited to generate coarse-grid finite element spaces in an algebraic manner, so that the resulting coarse-grid matrices are as sparse as the original stiffness matrix. The proposed multigrid method is used as a preconditioner in the generalized conjugate gradient iterative method for solving the resulting nonsymmetric system of linear algebraic equations. The performance of the method is tested on a two-dimensional convection-diffusion model problem both in the convection-dominated and diffusion-dominated limits."}],"language":[{"iso":"eng"}],"issue":"3","project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"citation":{"short":"S. Petrova, L. Tobiska, P.S. Vassilevski, EAST WEST JOURNAL OF NUMERICAL MATHEMATICS 8 (2000) 223–242.","bibtex":"@article{Petrova_Tobiska_Vassilevski_2000, title={Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems}, volume={8}, number={3}, journal={EAST WEST JOURNAL OF NUMERICAL MATHEMATICS}, publisher={VSP BV}, author={Petrova, Svetozara and Tobiska, L. and Vassilevski, P.S.}, year={2000}, pages={223–242} }","chicago":"Petrova, Svetozara, L. Tobiska, and P.S. Vassilevski. “Multigrid Methods Based on Matrix-Dependent Coarse Spaces for Nonconforming Streamline-Diffusion Finite Element Discretization of Convection-Diffusion Problems.” <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i> 8, no. 3 (2000): 223–42.","apa":"Petrova, S., Tobiska, L., &#38; Vassilevski, P. S. (2000). Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems. <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i>, <i>8</i>(3), 223–242.","alphadin":"<span style=\"font-variant:small-caps;\">Petrova, Svetozara</span> ; <span style=\"font-variant:small-caps;\">Tobiska, L.</span> ; <span style=\"font-variant:small-caps;\">Vassilevski, P.S.</span>: Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems. In: <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i> Bd. 8, VSP BV (2000), Nr. 3, S. 223–242","ieee":"S. Petrova, L. Tobiska, and P. S. Vassilevski, “Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems,” <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i>, vol. 8, no. 3, pp. 223–242, 2000.","mla":"Petrova, Svetozara, et al. “Multigrid Methods Based on Matrix-Dependent Coarse Spaces for Nonconforming Streamline-Diffusion Finite Element Discretization of Convection-Diffusion Problems.” <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i>, vol. 8, no. 3, VSP BV, 2000, pp. 223–42.","ama":"Petrova S, Tobiska L, Vassilevski PS. Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems. <i>EAST WEST JOURNAL OF NUMERICAL MATHEMATICS</i>. 2000;8(3):223-242."}}