A discontinuous enrichment method for the finite element solution of high Péclet advection–diffusion problems

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2008.10.009 ◽

2009 ◽

Vol 45 (4) ◽

pp. 238-250 ◽

Author(s):

Irina Kalashnikova ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Finite Element ◽

Finite Element Solution ◽

Element Solution ◽

Enrichment Method ◽

Advection Diffusion ◽

Discontinuous Enrichment ◽

Diffusion Problems

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A numerical study on the finite element solution of singularly perturbed systems of reaction–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.044 ◽

2007 ◽

Vol 187 (2) ◽

pp. 1351-1367 ◽

Author(s):

C. Xenophontos ◽

L. Oberbroeckling

Keyword(s):

Finite Element ◽

Numerical Study ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Finite Element Solution ◽

Element Solution ◽

Singularly Perturbed Systems ◽

Perturbed Systems ◽

Diffusion Problems

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An analysis of classical techniques for consistent stabilisation of the advection–diffusion–reaction equation finite element solution

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2020.1758315 ◽

2020 ◽

Vol 34 (5) ◽

pp. 315-332

Author(s):

Alex X. Jerves

Keyword(s):

Finite Element ◽

Finite Element Solution ◽

Diffusion Reaction ◽

Element Solution ◽

Reaction Equation ◽

Advection Diffusion

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A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems

Lecture Notes in Computer Science - Computational Science — ICCS 2002 ◽

10.1007/3-540-46080-2_84 ◽

2002 ◽

pp. 797-805 ◽

Author(s):

Peter K. Jimack ◽

Sarfraz A. Nadeem

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Algorithm ◽

Finite Element Solution ◽

Adaptive Finite Element ◽

Element Solution ◽

Convection Diffusion ◽

Domain Decomposition Algorithm ◽

Diffusion Problems

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Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21784 ◽

2013 ◽

Vol 29 (6) ◽

pp. 1963-1985 ◽

Author(s):

Xianping Li ◽

Weizhang Huang

Keyword(s):

Finite Element ◽

Maximum Principle ◽

Anisotropic Diffusion ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Diffusion Problems

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A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2706 ◽

2009 ◽

Vol 81 (5) ◽

pp. 604-636 ◽

Author(s):

C. Farhat ◽

I. Kalashnikova ◽

R. Tezaur

Keyword(s):

Unstructured Meshes ◽

Higher Order ◽

Enrichment Method ◽

Advection Diffusion ◽

Discontinuous Enrichment ◽

Diffusion Problems

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An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2010.07.009 ◽

2010 ◽

Vol 229 (21) ◽

pp. 8072-8094 ◽

Author(s):

Xianping Li ◽

Weizhang Huang

Keyword(s):

Finite Element ◽

Anisotropic Diffusion ◽

Mesh Adaptation ◽

Finite Element Solution ◽

Element Solution ◽

Anisotropic Mesh ◽

Anisotropic Mesh Adaptation ◽

Adaptation Method ◽

Diffusion Problems

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Finite element solution of diffusion problems with irregular data

Numerische Mathematik ◽

10.1007/bf01390130 ◽

1984 ◽

Vol 43 (2) ◽

pp. 309-327 ◽

Author(s):

Rolf Rannacher

Keyword(s):

Finite Element ◽

Finite Element Solution ◽

Element Solution ◽

Irregular Data ◽

Diffusion Problems

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Verification of high-order mixed finite-element solution of transient magnetic diffusion problems

IEEE Transactions on Magnetics ◽

10.1109/tmag.2005.860127 ◽

2006 ◽

Vol 42 (1) ◽

pp. 25-39 ◽

Author(s):

R.N. Rieben ◽

D.A. White

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Solution ◽

Element Solution ◽

Magnetic Diffusion ◽

Diffusion Problems

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Wick-stochastic finite element solution of reaction–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.04.049 ◽

2007 ◽

Vol 203 (2) ◽

pp. 516-532 ◽

Author(s):

Hassan Manouzi ◽

Mohammed Seaı¨d ◽

Mostafa Zahri

Keyword(s):

Finite Element ◽

Reaction Diffusion ◽

Finite Element Solution ◽

Element Solution ◽

Stochastic Finite Element ◽

Diffusion Problems

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Finite element solution of nonlinear diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.12.105 ◽

2011 ◽

Vol 217 (13) ◽

pp. 6198-6205

Author(s):

M.S. El-Azab ◽

K.M. Abdelgaber

Keyword(s):

Finite Element ◽

Nonlinear Diffusion ◽

Finite Element Solution ◽

Element Solution ◽

Diffusion Problems

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