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Volume 9, Issue 4
A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation

Hongze Zhu, Yongkui Zou, Shimin Chai & Chenguang Zhou

East Asian J. Appl. Math., 9 (2019), pp. 818-830.

Published online: 2019-10

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  • 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.

  • AMS Subject Headings

60H15, 65C30, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

chaism@jlu.edu.cn (Shimin Chai)

  • BibTex
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  • TXT
@Article{EAJAM-9-818, author = {Zhu , HongzeZou , YongkuiChai , Shimin and Zhou , Chenguang}, title = {A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {4}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.290518.020219}, url = {http://global-sci.org/intro/article_detail/eajam/13334.html} }
TY - JOUR T1 - A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation AU - Zhu , Hongze AU - Zou , Yongkui AU - Chai , Shimin AU - Zhou , Chenguang JO - East Asian Journal on Applied Mathematics VL - 4 SP - 818 EP - 830 PY - 2019 DA - 2019/10 SN - 9 DO - http://doi.org/10.4208/eajam.290518.020219 UR - https://global-sci.org/intro/article_detail/eajam/13334.html KW - Weak Galerkin method, weak gradient, stochastic PDE, standard counterparts, Raviart-Thomas element. AB -

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.

HongzeZhu, YongkuiZou, ShiminChai & ChenguangZhou. (2019). A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation. East Asian Journal on Applied Mathematics. 9 (4). 818-830. doi:10.4208/eajam.290518.020219
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