Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Xiaobing Feng; Hailong Qiu

doi:10.1007/s10915-021-01546-4

Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01546-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Xiaobing Feng ◽

Hailong Qiu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiplicative Noise ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Fully Discrete

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Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1907-m2018-0263 ◽

2021 ◽

Vol 39 (1) ◽

pp. 63-80

Author(s):

Huaijun Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Low Order

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Mixed finite element methods for incompressible flow: Stationary Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20467 ◽

2009 ◽

Vol 26 (4) ◽

pp. 957-978 ◽

Cited By ~ 27

Author(s):

Zhiqiang Cai ◽

Charles Tong ◽

Panayot S. Vassilevski ◽

Chunbo Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Local Fourier analysis for mixed finite-element methods for the Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.029 ◽

2019 ◽

Vol 357 ◽

pp. 161-183 ◽

Cited By ~ 3

Author(s):

Yunhui He ◽

Scott P. MacLachlan

Keyword(s):

Finite Element ◽

Fourier Analysis ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Local Fourier Analysis

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Asymptotic expansion analysis of nonconforming mixed finite element methods for time-dependent Maxwell’s equations in Debye Medium

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.016 ◽

2014 ◽

Vol 229 ◽

pp. 34-40 ◽

Cited By ~ 1

Author(s):

Changhui Yao ◽

Shanghui Jia

Keyword(s):

Finite Element ◽

Asymptotic Expansion ◽

Finite Element Methods ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent

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Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.08.018 ◽

2016 ◽

Vol 311 ◽

pp. 304-326 ◽

Cited By ~ 30

Author(s):

A. Linke ◽

C. Merdon

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.11.009 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1415-1423 ◽

Cited By ~ 50

Author(s):

Yanping Chen ◽

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Fully Discrete ◽

Parabolic Optimal Control

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Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015044 ◽

2016 ◽

Vol 50 (1) ◽

pp. 289-309 ◽

Cited By ~ 30

Author(s):

Alexander Linke ◽

Gunar Matthies ◽

Lutz Tobiska

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Arbitrary Order ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Pressure Independent

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Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/080718413 ◽

2010 ◽

Vol 48 (1) ◽

pp. 79-94 ◽

Cited By ~ 16

Author(s):

Zhiqiang Cai ◽

Chunbo Wang ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2016024 ◽

2017 ◽

Vol 51 (2) ◽

pp. 399-425 ◽

Cited By ~ 1

Author(s):

Mira Schedensack

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Linear Elasticity ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Helmholtz Decomposition

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Alternating-direction iterative technique for mixed finite element methods for Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.01.021 ◽

2005 ◽

Vol 162 (3) ◽

pp. 1035-1047 ◽

Cited By ~ 2

Author(s):

Haiming Gu ◽

Xiaonan wu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Iterative Technique ◽

Alternating Direction

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