Optimized Schwarz and finite element cell-centered method for heterogeneous anisotropic diffusion problems

2013 ◽

Vol 29 (6) ◽

pp. 1963-1985 ◽

Cited By ~ 9

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 constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2009.01.031 ◽

2009 ◽

Vol 228 (9) ◽

pp. 3448-3463 ◽

Cited By ~ 42

Author(s):

D. Kuzmin ◽

M.J. Shashkov ◽

D. Svyatskiy

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Principle ◽

Anisotropic Diffusion ◽

Discrete Maximum Principle ◽

Diffusion Problems ◽

Element Method

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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 ◽

Cited By ~ 28

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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Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1024 ◽

2011 ◽

Vol 4 (3) ◽

pp. 319-334 ◽

Cited By ~ 15

Author(s):

Weizhang Huang

Keyword(s):

Finite Element ◽

Maximum Principle ◽

Anisotropic Diffusion ◽

Discrete Maximum Principle ◽

Two Dimensional ◽

Finite Element Approximations ◽

Linear Finite Element ◽

Mesh Condition ◽

Diffusion Problems

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High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.03.022 ◽

2021 ◽

Vol 92 ◽

pp. 1-12

Author(s):

Yanhui Zhou ◽

Jiming Wu

Keyword(s):

Finite Element ◽

Anisotropic Diffusion ◽

Two Dimensions ◽

High Order ◽

Locally Conservative ◽

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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A metamorphic positivity-preserving conservative formulation applied to the solution of general anisotropic diffusion problems in distorted 2-D grids

10.1063/5.0026583 ◽

2020 ◽

Author(s):

Emerson W. D. Magalhães ◽

Márcio R. A. Souza ◽

Igor F. Gomes

Keyword(s):

Anisotropic Diffusion ◽

Positivity Preserving ◽

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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 18

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 ◽

Element Method

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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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Optimized Schwarz and finite element cell-centered method for heterogeneous anisotropic diffusion problems

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

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems

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

Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems

High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions

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

A metamorphic positivity-preserving conservative formulation applied to the solution of general anisotropic diffusion problems in distorted 2-D grids

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

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

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

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