Volume 24, Issue 3
Two-Scale Finite Element Discretizations for Partial Differential Equations

Fang Liu & Aihui Zhou

DOI:

J. Comp. Math., 24 (2006), pp. 373-392.

Published online: 2006-06

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  • Abstract

Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale error resolution techniques, several two-scale finite element algorithms are proposed and analyzed. It is shown that this type of two-scale algorithms not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.

  • Keywords

Finite element Two-scale discretization Parallel computation Sparse grids

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@Article{JCM-24-373, author = {}, title = {Two-Scale Finite Element Discretizations for Partial Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {3}, pages = {373--392}, abstract = { Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale error resolution techniques, several two-scale finite element algorithms are proposed and analyzed. It is shown that this type of two-scale algorithms not only significantly reduces the number of degrees of freedom but also produces very accurate approximations. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8759.html} }
TY - JOUR T1 - Two-Scale Finite Element Discretizations for Partial Differential Equations JO - Journal of Computational Mathematics VL - 3 SP - 373 EP - 392 PY - 2006 DA - 2006/06 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8759.html KW - Finite element KW - Two-scale discretization KW - Parallel computation KW - Sparse grids AB - Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale error resolution techniques, several two-scale finite element algorithms are proposed and analyzed. It is shown that this type of two-scale algorithms not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.
Fang Liu & Aihui Zhou. (1970). Two-Scale Finite Element Discretizations for Partial Differential Equations. Journal of Computational Mathematics. 24 (3). 373-392. doi:
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