Abstract | ||
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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 |
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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 Ming | 1 | 72 | 12.02 |
Siqi Song | 2 | 0 | 0.34 |