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Volume 12, Issue 1
The Multigrid Method of Nonconforming Finite Elements for Solving the Biharmonic Equation

Xi-Jun Yu

J. Comp. Math., 12 (1994), pp. 61-70.

Published online: 1994-12

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  • Abstract

An optimal order of the multigrid method is given in energy-norm for the nonconforming finite element for solving the biharmonic equation, by using the nodal interpolation operator as the transfer operator between grids.

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@Article{JCM-12-61, author = {Yu , Xi-Jun}, title = {The Multigrid Method of Nonconforming Finite Elements for Solving the Biharmonic Equation}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {1}, pages = {61--70}, abstract = {

An optimal order of the multigrid method is given in energy-norm for the nonconforming finite element for solving the biharmonic equation, by using the nodal interpolation operator as the transfer operator between grids.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10227.html} }
TY - JOUR T1 - The Multigrid Method of Nonconforming Finite Elements for Solving the Biharmonic Equation AU - Yu , Xi-Jun JO - Journal of Computational Mathematics VL - 1 SP - 61 EP - 70 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10227.html KW - AB -

An optimal order of the multigrid method is given in energy-norm for the nonconforming finite element for solving the biharmonic equation, by using the nodal interpolation operator as the transfer operator between grids.

Yu , Xi-Jun. (1994). The Multigrid Method of Nonconforming Finite Elements for Solving the Biharmonic Equation. Journal of Computational Mathematics. 12 (1). 61-70. doi:
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