Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem
Numerical Analysis
2024-11-04 v1 Numerical Analysis
Abstract
This paper employs a localized orthogonal decomposition (LOD) method with interpolation for solving the multiscale elliptic problem. This method does not need any assumptions on scale separation. We give a priori error estimate for the proposed method. The theoretical results are conformed by various numerical experiments.
Cite
@article{arxiv.2411.00363,
title = {Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem},
author = {Tao Yu and Xingye Yue},
journal= {arXiv preprint arXiv:2411.00363},
year = {2024}
}