English

Approximation of elliptic equations with BMO coefficients

Numerical Analysis 2014-08-05 v1

Abstract

We study solution techniques for elliptic equations in divergence form, where the coefficients are only of bounded mean oscillation (BMO). For p2<ε|p-2|<\varepsilon and a right hand side in Wp1W^{-1}_p we show convergence of a finite element scheme, where ε\varepsilon depends on the oscillation of the coefficients.

Keywords

Cite

@article{arxiv.1408.0724,
  title  = {Approximation of elliptic equations with BMO coefficients},
  author = {Harbir Antil and Abner J. Salgado},
  journal= {arXiv preprint arXiv:1408.0724},
  year   = {2014}
}
R2 v1 2026-06-22T05:19:59.641Z