Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients
Jinchao Xu · arXiv (Cornell University) · 2013
In this paper, we consider elliptic boundary value problems with discontinuous coefficients and obtain the asymptotic optimal error estimate $\|u-u_k\|_{1,Ω}\leqslant Ch|\ln h|^{1/2}\|u\|_{2,Ω_1+Ω_2}$ for triangle linear elements.