@Article{JCM-24-373, author = {Fang Liu and Aihui Zhou}, 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} }