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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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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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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Finite element solution of time-dependent problems

International Journal of Computer Mathematics ◽

10.1080/00207168708803599 ◽

1987 ◽

Vol 22 (3-4) ◽

pp. 287-302

Author(s):

D. J. Evans ◽

A. A. Al-kharafi

Keyword(s):

Finite Element ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Time Dependent Problems

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Application of backward differentiation methods to the finite element solution of time-dependent problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620140708 ◽

1979 ◽

Vol 14 (7) ◽

pp. 1051-1061 ◽

Author(s):

Zahari Zlatev ◽

Per Grove Thomsen

Keyword(s):

Finite Element ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Time Dependent Problems

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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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Non-Diffusive N+2 Degree Upwinding Methods for the Finite Element Solution of the Time Dependent Transport Equation

Vol. 2 Numerical Methods for Transport and Hydrologic Processes - Developments in Water Science ◽

10.1016/s0167-5648(08)70071-6 ◽

1988 ◽

pp. 57-62 ◽

Author(s):

J.J. Westerink ◽

M.E. Cantekin ◽

D. Shea

Keyword(s):

Finite Element ◽

Transport Equation ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Dependent Transport ◽

Time Dependent Transport Equation

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MOVING-FINITE-ELEMENT SOLUTION OF TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS IN TWO SPACE DIMENSIONS

International Journal of Computational Fluid Dynamics ◽

10.1080/10618569308904469 ◽

1993 ◽

Vol 1 (2) ◽

pp. 135-159 ◽

Author(s):

P. A. ZEGELING

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Partial Differential ◽

Two Space Dimensions ◽

Moving Finite Element

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ADDING THE TIME‐DEPENDENT TERMS TO A SEGREGATED FINITE ELEMENT SOLUTION OF THE INCOMPRESSIBLE NAVIER—STOKES EQUATIONS

Engineering Computations ◽

10.1108/eb023841 ◽

1991 ◽

Vol 8 (4) ◽

pp. 305-316 ◽

Author(s):

C.T. SHAW

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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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 ◽

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 ◽

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Mixed finite element solution of time-dependent problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.02.014 ◽

2008 ◽

Vol 197 (45-48) ◽

pp. 3657-3678 ◽

Author(s):

J.A. Teixeira de Freitas

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Time Dependent Problems

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