Two-scale FEM for homogenization problems

80 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Adaptive finite element heterogeneous multiscale method for homogenization problems (2011, methodology): “Among the recent literature and strategies for such problems, without attempting to be exhaustive, we mention the multiscale finite element method (MsFEM) by Hou et al. [27], the twoscale FEM developed by Matache and Schwab [31], the sparse FEM proposed by Hoang and Schwab [26], the multigrid homoge”
Deep Multiscale Model Learning (2018, background): “, typically involve a form of the coarse-grid equations [2, 24, 4, 23, 14, 7, 10, 22, 1, 21, 26, 27, 43, 41, 31, 13, 15, 11, 12], where the coarse-grid ∗Department of Mathematics, Texas A&M University, College Station, TX 77843, USA (wytgloria@math.”
The heterogeneous multiscale method* (2012, unknown): “…modified basis functions obtained from the fine-scale equations (see Efendiev and Hou (2009) for a review), Matache, Babuška and Schwab (2000) and Matache and Schwab (2002) developed the two-scale finite element method, and Viet Ha Hoang and Schwab (2005) proposed the high-dimensional finite…”