Document Type
Article
Publication Date
6-1-2020
Abstract
In this work we address the Multiscale Spectral Generalized Finite Element Method (MS-GFEM) developed in Babuška and Lipton (2011). We outline the numerical implementation of this method and present simulations that demonstrate contrast independent exponential convergence of MS-GFEM solutions. We introduce strategies to reduce the computational cost of generating the optimal oversampled local approximating spaces used here. These strategies retain accuracy while reducing the computational work necessary to generate local bases. Motivated by oversampling we develop a nearly optimal local basis based on a partition of unity on the boundary and the associated A-harmonic extensions.
Publication Source (Journal or Book title)
Computer Methods in Applied Mechanics and Engineering
Recommended Citation
Babuška, I., Lipton, R., Sinz, P., & Stuebner, M. (2020). Multiscale-Spectral GFEM and optimal oversampling. Computer Methods in Applied Mechanics and Engineering, 364 https://doi.org/10.1016/j.cma.2020.112960