Higher-order discrete maximum principle for 1D diffusion–reaction problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.10.009 ◽

2010 ◽

Vol 60 (4) ◽

pp. 486-500 ◽

Author(s):

Tomáš Vejchodský

Keyword(s):

Maximum Principle ◽

Higher Order ◽

Diffusion Reaction ◽

Discrete Maximum Principle

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Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence

Mathematics of Computation ◽

10.1090/s0025-5718-05-01761-8 ◽

2005 ◽

Vol 74 (252) ◽

pp. 1637-1653 ◽

Author(s):

Erik Burman ◽

Alexandre Ern

Keyword(s):

Maximum Principle ◽

Galerkin Approximation ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

Convection Diffusion ◽

Reaction Equations

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Discrete maximum principle for higher-order finite elements in 1D

Mathematics of Computation ◽

10.1090/s0025-5718-07-02022-4 ◽

2007 ◽

Vol 76 (260) ◽

pp. 1833-1847 ◽

Author(s):

Tomáš Vejchodský ◽

Pavel Šolín

Keyword(s):

Maximum Principle ◽

Finite Elements ◽

Higher Order ◽

Discrete Maximum Principle ◽

Higher Order Finite Elements

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Some remarks on the discrete maximum-principle for finite elements of higher order

Computing ◽

10.1007/bf02243548 ◽

1981 ◽

Vol 27 (2) ◽

pp. 145-154 ◽

Author(s):

W. Höhn ◽

H. D. Mittelmann

Keyword(s):

Maximum Principle ◽

Finite Elements ◽

Higher Order ◽

Discrete Maximum Principle

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Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.08.029 ◽

2009 ◽

Vol 226 (2) ◽

pp. 275-287 ◽

Author(s):

Antti Hannukainen ◽

Sergey Korotov ◽

Tomáš Vejchodský

Keyword(s):

Maximum Principle ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

Reaction Problem

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Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection–diffusion-reaction equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00318-3 ◽

2002 ◽

Vol 191 (35) ◽

pp. 3833-3855 ◽

Author(s):

Erik Burman ◽

Alexandre Ern

Keyword(s):

Maximum Principle ◽

Nonlinear Diffusion ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

Reaction Equation ◽

Convection Diffusion ◽

Galerkin Approximations

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Discrete maximum principle for the finite element solution of linear non-stationary diffusion–reaction problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2007.03.014 ◽

2008 ◽

Vol 32 (8) ◽

pp. 1530-1541 ◽

Author(s):

Maryem A.T. Elshebli

Keyword(s):

Finite Element ◽

Maximum Principle ◽

Finite Element Solution ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

Element Solution ◽

Stationary Diffusion

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A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113785 ◽

2022 ◽

Vol 402 ◽

pp. 113785

Author(s):

Jiangfu Wang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Discrete Maximum Principle ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Discontinuous Diffusion

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The discrete maximum principle and the ɛ-technique

Journal of Optimization Theory and Applications ◽

10.1007/bf00940419 ◽

1973 ◽

Vol 12 (4) ◽

pp. 391-407 ◽

Author(s):

M. Y. Tarng ◽

L. R. Nardizzi

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle

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The Discrete Maximum Principle

Springer Monographs in Mathematics - Simplicial Partitions with Applications to the Finite Element Method ◽

10.1007/978-3-030-55677-8_9 ◽

2020 ◽

pp. 115-120

Author(s):

Jan Brandts ◽

Sergey Korotov ◽

Michal Křížek

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle

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On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-00464-3_43 ◽

2009 ◽

pp. 384-391 ◽

Author(s):

Sergey Korotov ◽

Michal Křížek ◽

Jakub Šolc

Keyword(s):

Maximum Principle ◽

Elliptic Problems ◽

Coefficient Matrix ◽

Discrete Maximum Principle

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