High resolution upwind-mixed finite element methods for advection-diffusion equations with variable time-stepping

Clint Dawson

doi:10.1002/num.1690110508

High resolution upwind-mixed finite element methods for advection-diffusion equations with variable time-stepping

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690110508 ◽

1995 ◽

Vol 11 (5) ◽

pp. 525-538 ◽

Cited By ~ 22

Author(s):

Clint Dawson

Keyword(s):

Finite Element ◽

High Resolution ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Variable Time ◽

Time Stepping ◽

Advection Diffusion

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Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/18m1221473 ◽

2019 ◽

Vol 57 (6) ◽

pp. 2785-2811 ◽

Cited By ~ 1

Author(s):

Erik Burman ◽

Cuiyu He

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Advection Diffusion ◽

Primal Dual

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Error Reduction, Convergence and Optimality for Adaptive Mixed Finite Element Methods for Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1112-m3480 ◽

2012 ◽

Vol 30 (5) ◽

pp. 483-503 ◽

Cited By ~ 2

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Error Reduction ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Convergence And Optimality

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Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations

Partial Differential Equations - Computational Methods in Applied Sciences ◽

10.1007/978-1-4020-8758-5_2 ◽

2008 ◽

pp. 27-41 ◽

Cited By ~ 1

Author(s):

Yuri A. Kuznetsov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Polyhedral Meshes

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A new family of expanded mixed finite element methods for reaction–diffusion equations

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01634-6 ◽

2021 ◽

Author(s):

Bingjie Ji ◽

Jiansong Zhang ◽

Yun Yu ◽

Jun Liu ◽

Hui Guo

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Methods ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

New Family ◽

Expanded Mixed Finite Element

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Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering ◽

10.1007/3-540-26825-1_30 ◽

2005 ◽

pp. 311-318

Author(s):

Yuri Kuznetsov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Nonmatching Grids

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Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0152-y ◽

2015 ◽

Vol 70 (1) ◽

pp. 407-428 ◽

Cited By ~ 40

Author(s):

Yanmin Zhao ◽

Pan Chen ◽

Weiping Bu ◽

Xiangtao Liu ◽

Yifa Tang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Fractional Diffusion ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Two-Grid Method for Nonlinear Reaction-Diffusion Equations by Mixed Finite Element Methods

Journal of Scientific Computing ◽

10.1007/s10915-011-9469-3 ◽

2011 ◽

Vol 49 (3) ◽

pp. 383-401 ◽

Cited By ~ 49

Author(s):

Luoping Chen ◽

Yanping Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Grid Method ◽

Reaction Diffusion ◽

Mixed Finite Element Methods ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1775 ◽

2006 ◽

Vol 69 (2) ◽

pp. 408-422 ◽

Cited By ~ 50

Author(s):

Yanping Chen ◽

Huan-Wen Liu ◽

Shang Liu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Methods ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Expanded Mixed Finite Element

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Mixed Finite Element Methods with Applications to Flow and Other Problems.

10.21236/ada127751 ◽

1983 ◽

Author(s):

Max D. Gunzburger

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Cited By ~ 5

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

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