A posteriori error estimates for the Electric Field Integral Equation on polyhedra
This work provides a theoretical error estimation tool for computational electromagnetics, but the results are incremental as they extend existing techniques to a specific geometry.
The paper develops a residual-based a posteriori error estimate for the Electric Field Integral Equation on polyhedra, providing global lower and upper bounds in terms of computable quantities.
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).