Modified Rayleigh Conjecture for static problems

2004/11/08 by A. G. Ramm, Ramm, A. G.
Computer Science · Engineering · Mathematics · #35R30 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Combinatorics #Computer science #Conjecture #Contact Mechanics and Variational Inequalities #Elasticity and Wave Propagation #FOS: Mathematics #Mathematics #Parallel computing #math.AP #msc:35R30

paper · pdf · doi:10.48550/arxiv.math/0411177

arxiv created 2004/11/08 · openalex publication_date 2004/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Modified Rayleigh conjecture (MRC) in scattering theory was proposed and justified by the author (J.Phys A, 35 (2002), L357-L361). MRC allows one to develop efficient numerical algorithms for solving boundary-value problems. It gives an error estimate for solutions. In this paper the MRC is formulated and proved for static problems.

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