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 ◽

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 ◽

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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 ◽

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An Adaptive Least-Squares Mixed Finite Element Method for Fourth- Order Elliptic Equations

The Open Numerical Methods Journal ◽

10.2174/1876389800901010001 ◽

2009 ◽

Vol 1 (1) ◽

pp. 1-5

Author(s):

Gu Haiming ◽

Li Hongwei ◽

Xie Bing

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Fourth Order ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fourth Order Elliptic Equations ◽

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OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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A fourth-order H 1 -Galerkin mixed finite element method for Kuramoto-Sivashinsky equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22306 ◽

2018 ◽

Vol 35 (2) ◽

pp. 445-477 ◽

Author(s):

L. Jones Tarcius Doss ◽

A. P. Nandini

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Sivashinsky Equation ◽

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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 ◽

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 ◽

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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 ◽

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 ◽

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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 ◽

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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 ◽

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 ◽

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A mixed finite element method for fourth order eigenvalue problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.02.050 ◽

2009 ◽

Vol 213 (1) ◽

pp. 60-72 ◽

Author(s):

Neela Nataraj

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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