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

A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation
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Year:    2019

Author:    Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 818–830

Abstract

A weak Galerkin finite element method with Raviart-Thomas elements for a linear stochastic parabolic partial differential equation with space-time additive noise is studied and optimal strong convergence error estimates in $L$2-norm are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.290518.020219

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 818–830

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Weak Galerkin method weak gradient stochastic PDE standard counterparts Raviart-Thomas element.

Author Details

Hongze Zhu

Yongkui Zou

Shimin Chai

Chenguang Zhou

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