TY - JOUR
T1 - Two-Scale Finite Element Discretizations for Partial Differential Equations
AU - Fang Liu & Aihui Zhou
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, Two-scale discretization, Parallel computation, Sparse grids.
AB - <p style="text-align: justify;">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.</p>