The Convergence Rate of MsFEM for Various Boundary Problems

08/23/2019

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by   Changqing Ye, et al.

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In this paper, we give a detailed analysis of the effectiveness of classic multiscale finite element method (MsFEM) Hou1997,Hou1999 for mixed Dirichlet-Neumann, Robin and hemivariational inequality boundary problems. the error estimations are expressed with characteristic variables of mesh and scale, and the results are shown with proper assumptions and proven rigorously.