A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell's equations with random coefficients

DOI10.1007/s10915-019-00986-3zbMath1428.65080arXiv1806.05221OpenAlexW2963129128WikidataQ127650698 ScholiaQ127650698MaRDI QIDQ2330668

Xiaobing Feng, Cody Lorton, Junshan Lin

Publication date: 22 October 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05221

zbMATH Keywords

error estimatesMonte Carlo methodMaxwell equationselectromagnetic wavesrandom mediadiscontinuous Galerkin methodsRellich identity

Mathematics Subject Classification ID

Monte Carlo methods (65C05) PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Composite media; random media in optics and electromagnetic theory (78A48) Waves and radiation in optics and electromagnetic theory (78A40) Monte Carlo methods applied to problems in optics and electromagnetic theory (78M31)

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