The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations

H. Hoteit; R. Mosé; B. Philippe; Ph. Ackerer; J. Erhel

doi:10.1002/nme.531

The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.531 ◽

2002 ◽

Vol 55 (12) ◽

pp. 1373-1390 ◽

Cited By ~ 19

Author(s):

H. Hoteit ◽

R. Mosé ◽

B. Philippe ◽

Ph. Ackerer ◽

J. Erhel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Principle ◽

Diffusion Equations ◽

Hybrid Finite Element Method ◽

The Maximum Principle ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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Behavior of the mixed hybrid finite element method for the solution of diffusion equations on unstructured triangulations

Computational Methods in Water Resources: Volume 2, Proceedings of the XVth International Conference on Computational Methods in Water Resources - Developments in Water Science ◽

10.1016/s0167-5648(04)80124-2 ◽

2004 ◽

pp. 1053-1064

Author(s):

A. Mazzia ◽

M. Putti

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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A mixed-hybrid finite element method for convection–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.101 ◽

2005 ◽

Vol 171 (2) ◽

pp. 1037-1047 ◽

Cited By ~ 5

Author(s):

M. Farhloul ◽

A. Serghini Mounim

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hybrid Finite Element Method ◽

Convection Diffusion ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Diffusion Problems ◽

Element Method

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A new mass lumping scheme for the mixed hybrid finite element method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1628 ◽

2006 ◽

Vol 67 (1) ◽

pp. 89-107 ◽

Cited By ~ 33

Author(s):

Anis Younes ◽

Philippe Ackerer ◽

François Lehmann

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mass Lumping ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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Comparing mixed hybrid finite element method with standard FEM in swelling simulations involving extremely large deformations

Computational Mechanics ◽

10.1007/s00466-020-01851-z ◽

2020 ◽

Vol 66 (2) ◽

pp. 287-309

Author(s):

Cong Yu ◽

Kamyar Malakpoor ◽

Jacques M. Huyghe

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Deformations ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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An analysis of monotonicity conditions in the mixed hybrid finite element method on unstructured triangulations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2330 ◽

2008 ◽

Vol 76 (3) ◽

pp. 351-375 ◽

Cited By ~ 9

Author(s):

Annamaria Mazzia

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Monotonicity Conditions ◽

Element Method

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Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems

SIAM Journal on Numerical Analysis ◽

10.1137/130908191 ◽

2014 ◽

Vol 52 (1) ◽

pp. 83-102 ◽

Cited By ~ 8

Author(s):

Fabian Brunner ◽

Florin A. Radu ◽

Peter Knabner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Transport Problems ◽

Element Method

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A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems

Advances in Engineering Software ◽

10.1016/j.advengsoft.2011.08.001 ◽

2012 ◽

Vol 43 (1) ◽

pp. 87-95

Author(s):

Baskar Shalini ◽

P.K. Bhattacharyya ◽

Neela Nataraj

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Anisotropic Plate ◽

Parallel Implementation ◽

Plate Bending ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Bending Problems ◽

Element Method

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ON A MIXED-HYBRID FINITE ELEMENT METHOD FOR ANISOTROPIC PLATE BENDING PROBLEMS

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19961215)39:23<4063::aid-nme40>3.0.co;2-t ◽

1996 ◽

Vol 39 (23) ◽

pp. 4063-4089 ◽

Cited By ~ 4

Author(s):

N. NATARAJ ◽

P. K. BHATTACHARYYA ◽

S. BALASUNDARAM ◽

S. GOPALSAMY

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Anisotropic Plate ◽

Plate Bending ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Bending Problems ◽

Element Method

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A space-time mixed-hybrid finite element method for the damped wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20264 ◽

2008 ◽

Vol 24 (2) ◽

pp. 368-382 ◽

Cited By ~ 3

Author(s):

A. Serghini Mounim

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Space Time ◽

Damped Wave Equation ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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A mixed hybrid finite element method for the Helmholtz equation

Journal of Modern Optics ◽

10.1080/09500340.2010.527067 ◽

2011 ◽

Vol 58 (5-6) ◽

pp. 424-437 ◽

Cited By ~ 3

Author(s):

A. Hannukainen ◽

M. Huber ◽

J. Schöberl

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Method

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