A posteriori error estimates for the Electric Field Integral Equation on polyhedra
Numerical Analysis
2012-04-19 v1
Abstract
We present a residual-based a posteriori error estimate for the Electric Field Integral Equation (EFIE) on a bounded polyhedron. The EFIE is a variational equation formulated in a negative order Sobolev space on the surface of the polyhedron. We express the estimate in terms of square-integrable and thus computable quantities and derive global lower and upper bounds (up to oscillation terms).
Keywords
Cite
@article{arxiv.1204.3930,
title = {A posteriori error estimates for the Electric Field Integral Equation on polyhedra},
author = {Ricardo H. Nochetto and Benjamin Stamm},
journal= {arXiv preprint arXiv:1204.3930},
year = {2012}
}
Comments
Submitted to Mathematics of Computation