The bulk-surface finite element method for reaction–diffusion systems on stationary volumes

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2015.09.002 ◽

2016 ◽

Vol 108 ◽

pp. 9-21 ◽

Author(s):

Anotida Madzvamuse ◽

Andy H.W. Chung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Bulk Surface ◽

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A multigrid finite element method for reaction-diffusion systems on surfaces

Computing and Visualization in Science ◽

10.1007/s00791-010-0136-2 ◽

2010 ◽

Vol 13 (4) ◽

pp. 177-185 ◽

Author(s):

Christoph Landsberg ◽

Axel Voigt

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

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A finite element method adaptive in space and time for nonlinear reaction-diffusion systems

IMPACT of Computing in Science and Engineering ◽

10.1016/0899-8248(92)90004-r ◽

1992 ◽

Vol 4 (4) ◽

pp. 269-314 ◽

Author(s):

Jens Lang ◽

Artur Walter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Space And Time ◽

Nonlinear Reaction ◽

Diffusion Systems ◽

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The Galerkin finite element method for the solution of some spatio-temporally dependent reaction diffusion systems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.12.004 ◽

2008 ◽

Vol 58 (3) ◽

pp. 352-375 ◽

Author(s):

J.C.-F. Wong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

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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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Implementation and efficiency analysis of an adaptive hp-finite element method for solving boundary value problems for the stationary reaction–diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516050195 ◽

2016 ◽

Vol 56 (5) ◽

pp. 764-782 ◽

Author(s):

N. D. Zolotareva ◽

E. S. Nikolaev

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Efficiency Analysis ◽

Reaction Diffusion Equation ◽

Element Method ◽

Hp Finite Element

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Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/201611502 ◽

2016 ◽

Vol 11 (5) ◽

pp. 4-32 ◽

Author(s):

A. Madzvamuse ◽

A. H. Chung

Keyword(s):

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

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Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction–diffusion equation on nonrectangular domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.040 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1531-1547 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equation ◽

Fractional Reaction ◽

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On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-1983-0679434-4 ◽

1983 ◽

Vol 40 (161) ◽

pp. 47-47 ◽

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Diffusion Problems ◽

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Two-grid methods for mixed finite-element solution of coupled reaction-diffusion systems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199909)15:5<589::aid-num6>3.0.co;2-w ◽

1999 ◽

Vol 15 (5) ◽

pp. 589-604 ◽

Author(s):

Li Wu ◽

Myron B. Allen

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Finite Element Solution ◽

Element Solution ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Coupled Reaction

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A memory-efficient finite element method for systems of reaction–diffusion equations with non-smooth forcing

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.12.035 ◽

2004 ◽

Vol 169 (2) ◽

pp. 431-458 ◽

Author(s):

Alexander L. Hanhart ◽

Matthias K. Gobbert ◽

Leighton T. Izu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Memory Efficient ◽

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