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

Ricardo H. Nochetto , Benjamin Stamm (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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).

Domaines: Analyse numérique [math.NA]

Ricardo H. Nochetto, Benjamin Stamm. A posteriori error estimates for the Electric Field Integral Equation on polyhedra. 2012. ⟨hal-01090944⟩