Title
A Nitsche Hybrid Multiscale Method with Non-matching Grids
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.
Year
DOI
Venue
2022
10.1007/s10915-022-01817-8
Journal of Scientific Computing
Keywords
DocType
Volume
Multiscale PDE, Hybrid method, Nitsche variational formulation, Non-matching grid
Journal
91
Issue
ISSN
Citations 
2
0885-7474
0
PageRank 
References 
Authors
0.34
16
2
Name
Order
Citations
PageRank
Pingbing Ming17212.02
Siqi Song200.34