Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections

Applied Numerical Mathematics ◽

10.1016/j.apnum.2022.01.005 ◽

2022 ◽

Author(s):

Shuai Wang ◽

Guangwei Yuan

Keyword(s):

Finite Element ◽

Diffusion Problems

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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On the numerical modeling of convection-diffusion problems by finite element multigrid preconditioning methods

Advances in Engineering Software ◽

10.1016/j.advengsoft.2013.12.002 ◽

2014 ◽

Vol 68 ◽

pp. 56-69 ◽

Author(s):

Christos K. Filelis-Papadopoulos ◽

George A. Gravvanis ◽

Elias A. Lipitakis

Keyword(s):

Finite Element ◽

Numerical Modeling ◽

Convection Diffusion ◽

Diffusion Problems

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On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Explicit schemes

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199903)15:2<215::aid-num6>3.0.co;2-1 ◽

1999 ◽

Vol 15 (2) ◽

pp. 215-235 ◽

Author(s):

Miloslav Feistauer ◽

Jan Slav�k ◽

Petr Stupka

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Explicit Schemes ◽

Diffusion Problems ◽

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Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7920 ◽

2021 ◽

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Reaction Diffusion ◽

Balanced Norm ◽

Diffusion Problems

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Finite element analysis of non-stationary one-dimensional random diffusion problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620180708 ◽

1982 ◽

Vol 18 (7) ◽

pp. 1045-1054 ◽

Author(s):

Seiichi Tasaka ◽

Osamu Matsuoka

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Element Analysis ◽

One Dimensional ◽

Random Diffusion ◽

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 hp finite element method for convection-diffusion problems in one dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/19.3.425 ◽

1999 ◽

Vol 19 (3) ◽

pp. 425-453 ◽

Author(s):

J. Melenk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

One Dimension ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method ◽

Hp Finite Element

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ON THE FINITE ELEMENT ANALYSIS OF THE TRANSIENT CONVECTIVE DIFFUSION PROBLEMS

PROCEEDINGS OF THE JAPANESE CONFERENCE ON HYDRAULICS ◽

10.2208/prohe1975.22.139 ◽

1978 ◽

Vol 22 ◽

pp. 139-146

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Convective Diffusion ◽

Element Analysis ◽

The Finite Element Analysis ◽

Diffusion Problems

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ALE-SUPG finite element method for convection–diffusion problems in time-dependent domains: Conservative form

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.032 ◽

2017 ◽

Vol 303 ◽

pp. 128-145 ◽

Author(s):

Sashikumaar Ganesan ◽

Shweta Srivastava

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Convection Diffusion ◽

Conservative Form ◽

Diffusion Problems ◽

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A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems

10.1063/1.5042186 ◽

2018 ◽

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Finite Element ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Diffusion Problems

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