An adaptive finite element method for a linear elliptic equation with variable coefficients

摘要: We study the adaptive finite element method to solve linear elliptic boundary value problems on bounded domains in R 2 . For this we first prove a posteriori error estimates that carefully take data into account and show convergence of an algorithm. Then propose may start from very coarse meshes. A numerical example underlines necessity monitoring applications. Moreover, can bound our proposed estimator will (in simple model situation) not depend jumps coefficient main part equation when lines discontinuity are resolved by mesh.