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 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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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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Discrete maximum principle for parabolic problems solved by prismatic finite elements

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.10.001 ◽

2010 ◽

Vol 80 (8) ◽

pp. 1758-1770 ◽

Author(s):

Tomáš Vejchodský ◽

Sergey Korotov ◽

Antti Hannukainen

Keyword(s):

Maximum Principle ◽

Finite Elements ◽

Parabolic Problems ◽

Discrete Maximum Principle

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Geometrically Non-Linear Analysis of Doubly Curved Laminated and Sandwich Fibre Reinforced Composite Shells with a Higher Order Theory and C° Finite Elements

Journal of Reinforced Plastics and Composites ◽

10.1177/073168449201100905 ◽

1992 ◽

Vol 11 (9) ◽

pp. 1048-1076 ◽

Author(s):

T. Kant ◽

J.R. Kommineni

Keyword(s):

Finite Elements ◽

Order Theory ◽

Linear Analysis ◽

Higher Order ◽

Composite Shells ◽

Reinforced Composite ◽

Higher Order Theory ◽

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Gray Phonon Transport Prediction of Thermal Conductivity in Lithium Aluminate with Higher-Order Finite Elements on Meshes with Curved Surfaces

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2021.1900258 ◽

2021 ◽

pp. 1-25

Author(s):

Nicholas H. Whitman ◽

Todd S. Palmer ◽

P. Alex Greaney ◽

S. Aria Hosseini ◽

Douglas E. Burkes ◽

...

Keyword(s):

Thermal Conductivity ◽

Finite Elements ◽

Phonon Transport ◽

Higher Order ◽

Curved Surfaces ◽

Lithium Aluminate ◽

Higher Order Finite Elements ◽

Transport Prediction

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Radiation heat transfer between diffuse-gray surfaces using higher order finite elements

10.2514/6.2000-2371 ◽

2000 ◽

Author(s):

Dana Gould

Keyword(s):

Heat Transfer ◽

Finite Elements ◽

Radiation Heat Transfer ◽

Higher Order ◽

Radiation Heat ◽

Higher Order Finite Elements

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Analysis of shear walls using higher order finite elements

Building and Environment ◽

10.1016/0360-1323(81)90049-4 ◽

1981 ◽

Vol 16 (1) ◽

pp. 69

Author(s):

J. Marshall

Keyword(s):

Finite Elements ◽

Shear Walls ◽

Higher Order ◽

Higher Order Finite Elements

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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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On parallel solution of linear elasticity problems. Part III: higher order finite elements

Numerical Linear Algebra with Applications ◽

10.1002/nla.1852 ◽

2012 ◽

Vol 20 (5) ◽

pp. 869-887

Author(s):

Ivar Gustafsson ◽

Gunhild Lindskog

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Higher Order ◽

Parallel Solution ◽

Elasticity Problems ◽

Higher Order Finite Elements

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