Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
The authors consider the boundary value problem of a second-order elliptic type equation with highly oscillatory coefficients over general Lipschitz convex domains, and obtains a multiscale asymptotic expansion of the solutions for this kind of problem. At the same time, a high accuracy finite element computing scheme and a post-processing technique are presented. Finally, numerical results strongly support the theoretical analysis.
scientific article; zbMATH DE number 1970726
scientific article