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

2012/04/17 by Ricardo H. Nochetto, Nochetto, Ricardo H., Benjamin Stamm +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · doi:10.48550/arxiv.1204.3930

openalex publication_date 2012/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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