Parallel split least-squares mixed finite element method for parabolic problem

Jiansong Zhang; Zhaohui Liu; Danping Yang; Jiang Zhu

doi:10.1002/num.22258

Parallel split least-squares mixed finite element method for parabolic problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22258 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1282-1300

Author(s):

Jiansong Zhang ◽

Zhaohui Liu ◽

Danping Yang ◽

Jiang Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Parabolic Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Element Method

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On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901399604 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2114-2130 ◽

Cited By ~ 14

Author(s):

Huo-Yuan Duan ◽

Guo-Ping Liang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Velocity Pressure ◽

Element Method

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An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20029 ◽

2004 ◽

Vol 21 (1) ◽

pp. 132-148 ◽

Cited By ~ 30

Author(s):

Zhiqiang Cai ◽

Johannes Korsawe ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS

Journal of applied mathematics & informatics ◽

10.14317/jami.2016.019 ◽

2016 ◽

Vol 34 (1_2) ◽

pp. 19-34

Author(s):

MI RAY OHM ◽

JUN YONG SHIN

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Sobolev Equations ◽

Convection Dominated ◽

Element Method

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Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2014.06.005 ◽

2015 ◽

Vol 109 ◽

pp. 64-73 ◽

Cited By ~ 5

Author(s):

Fuzheng Gao ◽

Feng Qiao ◽

Hongxing Rui

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Element Method

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A Least-Squares Mixed Finite Element Method for Biot's Consolidation Problem in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903432929 ◽

2005 ◽

Vol 43 (1) ◽

pp. 318-339 ◽

Cited By ~ 30

Author(s):

Johannes Korsawe ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biot’S Consolidation ◽

Element Method

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A least squares Galerkin–Petrov nonconforming mixed finite element method for the stationary Conduction–Convection problem

Nonlinear Analysis ◽

10.1016/j.na.2009.09.005 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 1653-1667 ◽

Cited By ~ 18

Author(s):

Dongyang Shi ◽

Jincheng Ren

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Convection Problem ◽

Element Method

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An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems

Applied Mathematics ◽

10.4236/am.2013.44092 ◽

2013 ◽

Vol 04 (04) ◽

pp. 675-679 ◽

Cited By ~ 1

Author(s):

Ning Chen ◽

Haiming Gu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Element Method

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Superconvergence analysis of least-squares mixed finite element method for second-order non-self-adjoint two-point boundary value problems

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199811)14:11<1027::aid-cnm206>3.0.co;2-c ◽

1998 ◽

Vol 14 (11) ◽

pp. 1027-1037

Author(s):

Chunjia Bi ◽

Likang Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Boundary Value Problems ◽

Mixed Finite Element ◽

Boundary Value ◽

Mixed Finite Element Method ◽

Second Order ◽

Point Boundary ◽

Element Method

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An Adaptive Least‐Squares Mixed Finite Element Method for Elasto‐Plasticity

SIAM Journal on Numerical Analysis ◽

10.1137/060652609 ◽

2007 ◽

Vol 45 (1) ◽

pp. 371-388 ◽

Cited By ~ 26

Author(s):

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Elasto Plasticity ◽

Element Method

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