×

The error analysis of an asymptotic expansion method for jump coefficient elliptic scalar equations. (Chinese. English summary) Zbl 1265.65226

Summary: This paper studies some elliptic PDEs with jump coefficients (or multi-scale characteristic). By using the asymptotic expansion method, we decompose the PDEs with multi-scale characteristic into several PDEs with smooth coefficients (or single-scale characteristic). The same order of error function as that of the classic linear FEM under \(\|\cdot\|_0\) norm is obtained, which shows that this method is effective.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35R05 PDEs with low regular coefficients and/or low regular data
PDFBibTeX XMLCite