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 for Galerkin solutions of elliptic problems

Central European Journal of Mathematics ◽

10.2478/s11533-011-0085-0 ◽

2011 ◽

Vol 10 (1) ◽

pp. 25-43 ◽

Author(s):

Tomáš Vejchodský

Keyword(s):

Maximum Principle ◽

Elliptic Problems ◽

Discrete Maximum Principle

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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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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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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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An application of the discrete maximum principle to a stagewise biochemical reactor system

Biotechnology and Bioengineering ◽

10.1002/bit.260050305 ◽

1963 ◽

Vol 5 (3) ◽

pp. 201-209 ◽

Author(s):

Liang-Tseng Fan ◽

Chee-Gen Wan

Keyword(s):

Maximum Principle ◽

Reactor System ◽

Discrete Maximum Principle ◽

Biochemical Reactor

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