Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6209 ◽

1999 ◽

Vol 230 (2) ◽

pp. 329-349 ◽

Author(s):

Jichun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Order Convergence ◽

Fourth Order Elliptic Equations ◽

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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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A mixed finite element method for fourth order elliptic equations with variable coefficients

Computers & Mathematics with Applications ◽

10.1016/0898-1221(84)90052-x ◽

1984 ◽

Vol 10 (3) ◽

pp. 245-256 ◽

Author(s):

S. Balasundaram ◽

P.K. Bhattacharyya

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Variable Coefficients ◽

Fourth Order Elliptic Equations ◽

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A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations

Differential Equations ◽

10.1007/bf02754507 ◽

2000 ◽

Vol 36 (7) ◽

pp. 1050-1057 ◽

Author(s):

M. M. Karchevskii ◽

A. D. Lyashko ◽

M. R. Timerbaev

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fourth Order Elliptic Equations ◽

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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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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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The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113783 ◽

2022 ◽

Vol 402 ◽

pp. 113783

Author(s):

Jian Meng ◽

Liquan Mei

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Eigenvalue Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Optimal Order ◽

Order Convergence ◽

Optimal Order Convergence ◽

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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 ◽

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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A Mixed Finite Element Method for Fourth Order Eigenvalue Problems

PAMM ◽

10.1002/pamm.200410160 ◽

2004 ◽

Vol 4 (1) ◽

pp. 358-359

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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An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.017 ◽

2021 ◽

Vol 96 ◽

pp. 77-94

Author(s):

Zhixin Liu ◽

Shicang Song

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Order Elliptic Problem ◽

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