Optimal error estimates of a discontinuous Galerkin method for stochastic Allen-Cahn equation driven by multiplicative noise (Q6608348)

scientific article; zbMATH DE number 7916203

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English	Optimal error estimates of a discontinuous Galerkin method for stochastic Allen-Cahn equation driven by multiplicative noise	scientific article; zbMATH DE number 7916203

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scholarly article

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title

Optimal error estimates of a discontinuous Galerkin method for stochastic Allen-Cahn equation driven by multiplicative noise (English)

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Communications in Computational Physics

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publication date

19 September 2024

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zbMATH Keywords

stochastic Allen-Cahn equation

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strong convergence

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discontinuous Galerkin method

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variational solution

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multiplicative noise

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MaRDI profile type

Publication

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cites work

Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation

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Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation

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Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation

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Analysis of some splitting schemes for the stochastic Allen-Cahn equation

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Poincaré--Friedrichs Inequalities for Piecewise <i>H</i><sup>1</sup> Functions

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Weak convergence rates for an explicit full-discretization of stochastic Allen-Cahn equation with additive noise

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Q5318583

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Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in \(\mathbb R^{d} (d =2, 3)\)

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A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations

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Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation

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Stochastic partial differential equations

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The finite element methods for elliptic problems.

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Q4952239

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Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient

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Mathematical aspects of discontinuous Galerkin methods.

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Discontinuous Galerkin Method

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Theory and practice of finite elements.

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Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise

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Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

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Finite Element Methods for Navier-Stokes Equations

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Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier--Stokes Equations

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Q5423780

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Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise

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Energy Stable Discontinuous Galerkin Finite Element Method for the Allen–Cahn Equation

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The BDF2-Maruyama method for the stochastic Allen-Cahn equation with multiplicative noise

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A discontinuous Galerkin method for stochastic Cahn-Hilliard equations

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A Discontinuous Galerkin Method for Stochastic Conservation Laws

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An ultra-weak discontinuous Galerkin method with implicit-explicit time-marching for generalized stochastic KdV equations

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A local discontinuous Galerkin method for nonlinear parabolic SPDEs

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On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

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Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise

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Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus

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Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise

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Effect of noise on front propagation in reaction-diffusion equations of KPP type

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Optimal error estimates of Galerkin finite element methods for stochastic Allen-Cahn equation with additive noise

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

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Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

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Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise

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An efficient explicit full-discrete scheme for strong approximation of stochastic Allen-Cahn equation

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Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear <scp>SPDEs</scp>

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An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

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Identifiers

zbMATH Open document ID

1547.65019

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Mathematics Subject Classification ID

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10.4208/CICP.OA-2023-0280

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608348