A posteriori error estimates for the Electric Field Integral Equation on polyhedra

Details A posteriori error estimates for the Electric Field Integral Equation on polyhedra A posteriori error estimates for the Electric Field Integral Equation on polyhedra

2012-04-17

arxiv.org/abs/1204.3930v1

Mathematics

Numerical Analysis

Submitted to Mathematics of Computation

Scientific paper

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).

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