Year: 2006
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JCM-8759
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 373–392
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Finite element Two-scale discretization Parallel computation Sparse grids.