Randomized sampling for basis function construction in generalized finite element methods
Published
Journal Article
© 2020 Society for Industrial and Applied Mathematics. In the framework of generalized finite element methods for elliptic equations with rough coefficients, efficiency and accuracy of the numerical method depend critically on the use of appropriate basis functions. This work explores several random sampling strategies that construct approximations to the optimal set of basis functions of a given dimension, and proposes a quantitative criterion to analyze and compare these sampling strategies. Numerical evidence shows that the best results are achieved by two strategies, Random Gaussian and Smooth Boundary sampling.
Full Text
Duke Authors
Cited Authors
- Chen, K; Li, Q; Lu, J; Wright, SJ
Published Date
- January 1, 2020
Published In
Volume / Issue
- 18 / 2
Start / End Page
- 1153 - 1177
Electronic International Standard Serial Number (EISSN)
- 1540-3467
International Standard Serial Number (ISSN)
- 1540-3459
Digital Object Identifier (DOI)
- 10.1137/18M1166432
Citation Source
- Scopus