Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures
Rui Du, Pingbing Ming · Multiscale Modeling and Simulation · 2010
We propose a condition under which the heterogeneous multiscale finite element method converges for elliptic problems with nonsmooth coefficients, and we obtain the optimal convergence rate for elliptic problems with nonsymmetric periodic coefficients that allow for nonsmooth microstructures.