Approximation of elliptic equations with bmo coefficients
Harbir Antil, Abner J. Salgado · IMA Journal of Numerical Analysis · 2015
We study solution techniques for elliptic equations in divergence form, where the coefficients are only of bounded mean oscillation. For |$|p-2|\lt {\varepsilon }$| and a right-hand side in |$W^{-1,p}$| , we show convergence of a finite element scheme, where |${\varepsilon }$| depends on the oscillation of the coefficients.