A Nitsche Hybrid multiscale method with non-matching grids
Numerical Analysis
2022-03-03 v2 Numerical Analysis
Abstract
We propose a Nitsche method for multiscale partial differential equations, which retrieves the macroscopic information and the local microscopic information at one stroke. We prove the convergence of the method for second order elliptic problem with bounded and measurable coefficients. The rate of convergence may be derived for coefficients with further structures such as periodicity and ergodicity. Extensive numerical results confirm the theoretical predictions.
Cite
@article{arxiv.2103.13566,
title = {A Nitsche Hybrid multiscale method with non-matching grids},
author = {Pingbing Ming and Siqi Song},
journal= {arXiv preprint arXiv:2103.13566},
year = {2022}
}