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

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
Main Authors: Hongze Zhu, Chenguang Zhou, Nana Sun
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:Electronic Research Archive
Subjects:
weak galerkin finite element method
lipschitz continuity
nonlinear stochastic partial differential equation
q-wiener process
additive noise
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022118?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022118?viewType=HTML

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