Algebraic aspect of the discrete maximum principle

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2001-0206 ◽

2001 ◽

Vol 16 (2) ◽

Author(s):

V.V. Smelov

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle ◽

Algebraic Aspect

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Algebraic aspect of the discrete maximum principle

Doklady Mathematics ◽

10.1134/s1064562408060112 ◽

2008 ◽

Vol 78 (3) ◽

pp. 846-847

Author(s):

V. V. Smelov

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle ◽

Algebraic Aspect

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Extension of the algebraic aspect of the discrete maximum principle

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.2007.031 ◽

2007 ◽

Vol 22 (6) ◽

Author(s):

V. V. Smelov

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle ◽

Algebraic Aspect

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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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THE DISCRETE MAXIMUM PRINCIPLE: TWO METHODS OF PROOF

Nonlinear Control Systems Design 1989 ◽

10.1016/b978-0-08-037022-4.50060-0 ◽

1990 ◽

pp. 313-319

Author(s):

R. Pytlak

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle

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A discrete maximum principle for collocation methods

Computers & Mathematics with Applications ◽

10.1016/0898-1221(87)90057-5 ◽

1987 ◽

Vol 14 (6) ◽

pp. 459-464 ◽

Author(s):

E.Greenwell Yanik

Keyword(s):

Maximum Principle ◽

Collocation Methods ◽

Discrete Maximum Principle

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Discrete maximum principle

Cybernetics ◽

10.1007/bf01069862 ◽

1976 ◽

Vol 11 (2) ◽

pp. 226-230 ◽

Author(s):

N. N. Dzyuba ◽

B. N. Pshenichnyi

Keyword(s):

Maximum Principle ◽

Discrete Maximum Principle

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Second-order accurate finite volume schemes with the discrete maximum principle for solving Richards’ equation on unstructured meshes

Advances in Water Resources ◽

10.1016/j.advwatres.2017.03.015 ◽

2017 ◽

Vol 104 ◽

pp. 114-126 ◽

Author(s):

D. Svyatskiy ◽

K. Lipnikov

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Unstructured Meshes ◽

Second Order ◽

Richards Equation ◽

Discrete Maximum Principle ◽

Finite Volume Schemes

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