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Volume 5, Issue 4
Substructuring Preconditioner for Parabolic Problems by the Mortar Method

Micol Pennacchio

Int. J. Numer. Anal. Mod., 5 (2008), pp. 527-542.

Published online: 2008-05

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  • Abstract

We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence we build an efficient edge block preconditioner and we prove a polylogarithmic bound for the condition number of the preconditioned matrix.

  • Keywords

domain decomposition, iterative substructuring, mortar methods, parabolic equation.

  • AMS Subject Headings

65N55, 65N30, 65N22, 65F30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-527, author = {Pennacchio , Micol}, title = {Substructuring Preconditioner for Parabolic Problems by the Mortar Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {4}, pages = {527--542}, abstract = {

We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence we build an efficient edge block preconditioner and we prove a polylogarithmic bound for the condition number of the preconditioned matrix.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/825.html} }
TY - JOUR T1 - Substructuring Preconditioner for Parabolic Problems by the Mortar Method AU - Pennacchio , Micol JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 527 EP - 542 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/825.html KW - domain decomposition, iterative substructuring, mortar methods, parabolic equation. AB -

We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence we build an efficient edge block preconditioner and we prove a polylogarithmic bound for the condition number of the preconditioned matrix.

Pennacchio , Micol. (2008). Substructuring Preconditioner for Parabolic Problems by the Mortar Method. International Journal of Numerical Analysis and Modeling. 5 (4). 527-542. doi:
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