Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise

DOI10.1051/m2an/2022084zbMath1529.65084arXiv2204.09632OpenAlexW4300773496MaRDI QIDQ6041053

Jiawei Sun, Yulong Xing, Chi-Wang Shu

Publication date: 25 May 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.09632

zbMATH Keywords

discontinuous Galerkin methodsmultiplicative noiseoptimal error estimateenergy lawstochastic Maxwell equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (1)

On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes

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