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Volume 2, Issue 2
Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods

Xuejun Xu & Wenbin Chen

Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 180-201.

Published online: 2009-02

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  • Abstract

In this paper, standard and economical cascadic multigrid methods are considered for solving the algebraic systems resulting from the mortar finite element methods. Both cascadic multigrid methods do not need full elliptic regularity, so they can be used to tackle more general elliptic problems. Numerical experiments are reported to support our theory.

  • Keywords

Cascadic multigrid, mortar finite elements.

  • AMS Subject Headings

65F10, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-2-180, author = {Xuejun Xu and Wenbin Chen}, title = {Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {2}, pages = {180--201}, abstract = {

In this paper, standard and economical cascadic multigrid methods are considered for solving the algebraic systems resulting from the mortar finite element methods. Both cascadic multigrid methods do not need full elliptic regularity, so they can be used to tackle more general elliptic problems. Numerical experiments are reported to support our theory.

}, issn = {2079-7338}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nmtma/6021.html} }
TY - JOUR T1 - Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods AU - Xuejun Xu & Wenbin Chen JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 180 EP - 201 PY - 2009 DA - 2009/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nmtma/6021.html KW - Cascadic multigrid, mortar finite elements. AB -

In this paper, standard and economical cascadic multigrid methods are considered for solving the algebraic systems resulting from the mortar finite element methods. Both cascadic multigrid methods do not need full elliptic regularity, so they can be used to tackle more general elliptic problems. Numerical experiments are reported to support our theory.

Xuejun Xu and Wenbin Chen. (2009). Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods. Numerical Mathematics: Theory, Methods and Applications. 2 (2). 180-201. doi:
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