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- Title
TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS.
- Authors
Fang Liu; Aihui Zhou
- 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 tile 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.
- Subjects
FINITE element method; PARTIAL differential equations; BOUNDARY value problems; ERROR analysis in mathematics; NUMERICAL analysis
- Publication
Journal of Computational Mathematics, 2006, Vol 24, Issue 3, p373
- ISSN
0254-9409
- Publication type
Article