A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation

DOI10.4208/EAJAM.290518.020219zbMath1462.60093OpenAlexW2979701489WikidataQ115211031 ScholiaQ115211031MaRDI QIDQ4983627

Shimin Chai, Chenguang Zhou, Hongze Zhu, Yongkui Zou

Publication date: 26 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.290518.020219

zbMATH Keywords

Raviart-Thomas elementweak gradientweak Galerkin methodstochastic PDEstandard counterparts

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (6)

A family of interior-penalized weak Galerkin methods for second-order elliptic equations ⋮ Weak Galerkin finite element method for linear elasticity interface problems ⋮ A hybridized weak Galerkin finite element scheme for linear elasticity problem ⋮ Weak Galerkin finite element method for linear poroelasticity problems ⋮ A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise ⋮ $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

Cites Work

• Stochastic nonlinear systems in physics, chemistry, and biology. Proceedings of the Workshop, Bielefeld, Fed. Rep. of Germany, October 5- 11, 1980
• BDM mixed methods for a nonlinear elliptic problem
• Conforming finite element methods for the stochastic Cahn-Hilliard-Cook equation
• Convergence rates for finite elementapproximations of stochastic partial differential equations
• Finite element and difference approximation of some linear stochastic partial differential equations
• hp-Approximation Theory forBDFMandRTFinite Elements on Quadrilaterals
• A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation
• Stochastic Problems in Physics and Astronomy

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