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Volume 13, Issue 3
On Multigrid Methods for Parabolic Problems

S. Larsson, V. Thomée & S. Z. Zhou

J. Comp. Math., 13 (1995), pp. 193-205.

Published online: 1995-06

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  • Abstract

Multigrid methods with nested subspaces and inherited forms are analyzed in an abstract framework that permits application to linear systems of the type that have to be solved at each time level in time-stepping methods for finite element approximations of parabolic problems. Convergence rates that are independent of the space and time steps are obtained in an appropriate time step dependent norm.

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@Article{JCM-13-193, author = {Larsson , S.Thomée , V. and Zhou , S. Z.}, title = {On Multigrid Methods for Parabolic Problems}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {3}, pages = {193--205}, abstract = {

Multigrid methods with nested subspaces and inherited forms are analyzed in an abstract framework that permits application to linear systems of the type that have to be solved at each time level in time-stepping methods for finite element approximations of parabolic problems. Convergence rates that are independent of the space and time steps are obtained in an appropriate time step dependent norm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9261.html} }
TY - JOUR T1 - On Multigrid Methods for Parabolic Problems AU - Larsson , S. AU - Thomée , V. AU - Zhou , S. Z. JO - Journal of Computational Mathematics VL - 3 SP - 193 EP - 205 PY - 1995 DA - 1995/06 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9261.html KW - AB -

Multigrid methods with nested subspaces and inherited forms are analyzed in an abstract framework that permits application to linear systems of the type that have to be solved at each time level in time-stepping methods for finite element approximations of parabolic problems. Convergence rates that are independent of the space and time steps are obtained in an appropriate time step dependent norm.

Larsson , S.Thomée , V. and Zhou , S. Z.. (1995). On Multigrid Methods for Parabolic Problems. Journal of Computational Mathematics. 13 (3). 193-205. doi:
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