Some aspects of a mixed finite element method applied to fourth order partial differential equations

Computing Methods in Applied Sciences - Lecture Notes in Physics ◽

10.1007/bfb0120593 ◽

2008 ◽

pp. 237-256 ◽

Author(s):

T. Miyoshi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Partial Differential ◽

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A Mixed Finite Element Method for Fourth Order Partial Differential Equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19860661019 ◽

1986 ◽

Vol 66 (10) ◽

pp. 489-499 ◽

Author(s):

S. Balasundaram ◽

P. K. Bhattacharyya

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Partial Differential ◽

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AnH1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142995280808 ◽

1998 ◽

Vol 35 (2) ◽

pp. 712-727 ◽

Author(s):

Amiya K. Pani

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

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A mixed finite element method for a time-fractional fourth-order partial differential equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.06.023 ◽

2014 ◽

Vol 243 ◽

pp. 703-717 ◽

Author(s):

Yang Liu ◽

Zhichao Fang ◽

Hong Li ◽

Siriguleng He

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Partial Differential Equation ◽

Finite Element ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Order Partial Differential Equation ◽

Partial Differential ◽

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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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Numerical Solutions of Partial Differential Equations by the Finite Element Method

The Mathematical Gazette ◽

10.2307/3618226 ◽

1989 ◽

Vol 73 (463) ◽

pp. 59

Author(s):

F. B. Ellerby ◽

C. Johnson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solutions ◽

The Finite Element Method ◽

Partial Differential ◽

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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 multiscale finite element method for partial differential equations posed in domains with rough boundaries

Mathematics of Computation ◽

10.1090/s0025-5718-08-02159-5 ◽

2009 ◽

Vol 78 (265) ◽

pp. 25-25 ◽

Author(s):

Alexandre L. Madureira

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Rough Boundaries ◽

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Elliptic systems of partial differential equations and the finite element method

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90020-3 ◽

1983 ◽

Vol 94 (1) ◽

pp. 283-295 ◽

Author(s):

Brian M O'Connor

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Systems ◽

The Finite Element Method ◽

Partial Differential ◽

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Solution of partial differential equations systems by the moving finite element method

Computers & Chemical Engineering ◽

10.1016/0098-1354(92)80069-l ◽

1992 ◽

Vol 16 (6) ◽

pp. 583-592 ◽

Author(s):

C. Sereno ◽

A. Rodrigues ◽

J. Villadsen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Element Method ◽

Moving Finite Element

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A moving-mesh finite element method with local refinement for parabolic partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90083-6 ◽

1986 ◽

Vol 55 (1-2) ◽

pp. 3-26 ◽

Author(s):

Slimane Adjerid ◽

Joseph E. Flaherty

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Moving Mesh ◽

Parabolic Partial Differential Equations ◽

Local Refinement ◽

Partial Differential ◽

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