A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations

DOI10.1137/20M1368537zbMath1470.60178arXiv2009.09880OpenAlexW3187682808MaRDI QIDQ5009344

Chuchu Chen

Publication date: 20 August 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09880

zbMATH Keywords

mean-square convergencestochastic Maxwell equationssymplectic dG full discretization

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Maxwell equations (35Q61)

Related Items (3)

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise ⋮ Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise ⋮ Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear <scp>SPDEs</scp>

Cites Work

• Unnamed Item
• Unnamed Item
• A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise
• Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods
• Exponential integrators for stochastic Maxwell's equations driven by Itô noise
• Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in \(\mathbb R^{d} (d =2, 3)\)
• An energy-conserving method for stochastic Maxwell equations with multiplicative noise
• Convergence of an ADI splitting for Maxwell's equations
• Runge--Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise
• Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations
• Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation
• Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation
• Stochastic Equations in Infinite Dimensions
• A Discontinuous Galerkin Method for Stochastic Conservation Laws
• Implicit Runge--Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations
• Space–time discontinuous Galerkin methods for the ε-dependent stochastic Allen–Cahn equation with mild noise

This page was built for publication: A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations