A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise

In this paper, a weak Galerkin (WG for short) finite element method is used to approximate nonlinear stochastic parabolic partial differential equations with spatiotemporal additive noises. We set up a semi-discrete WG scheme for the stochastic equations, and derive the optimal order for error estim...

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Bibliographic Details
Published inElectronic research archive Vol. 30; no. 6; pp. 2321 - 2334
Main Authors Zhu, Hongze, Zhou, Chenguang, Sun, Nana
Format Journal Article
LanguageEnglish
Published AIMS Press 01.06.2022
Subjects
additive noise
lipschitz continuity
nonlinear stochastic partial differential equation
q-wiener process
weak galerkin finite element method
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Summary:In this paper, a weak Galerkin (WG for short) finite element method is used to approximate nonlinear stochastic parabolic partial differential equations with spatiotemporal additive noises. We set up a semi-discrete WG scheme for the stochastic equations, and derive the optimal order for error estimates in the sense of strong convergence.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2022118