Performance of LCD iterative method in the finite element and finite difference solution of convection-diffusion equations

L. Catabriga; A. M. P. Valli; B. Z. Melotti; L. M. Pessoa; A. L. G. A. Coutinho

doi:10.1002/cnm.842

Performance of LCD iterative method in the finite element and finite difference solution of convection-diffusion equations

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.842 ◽

2006 ◽

Vol 22 (6) ◽

pp. 643-656 ◽

Cited By ~ 5

Author(s):

L. Catabriga ◽

A. M. P. Valli ◽

B. Z. Melotti ◽

L. M. Pessoa ◽

A. L. G. A. Coutinho

Keyword(s):

Finite Element ◽

Finite Difference ◽

Iterative Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Finite Difference Solution ◽

Difference Solution

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An L∞ stability analysis for the finite-difference solution of one-dimensional linear convection–diffusion equations on moving meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.02.043 ◽

2012 ◽

Vol 236 (13) ◽

pp. 3338-3348 ◽

Cited By ~ 2

Author(s):

Weizhang Huang ◽

Forrest Schaeffer

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Diffusion Equations ◽

Moving Meshes ◽

One Dimensional ◽

Convection Diffusion ◽

Finite Difference Solution ◽

Difference Solution

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Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.927447 ◽

2014 ◽

Vol 92 (6) ◽

pp. 1180-1203 ◽

Cited By ~ 3

Author(s):

Weizhang Huang

Keyword(s):

Finite Difference ◽

Time Integration ◽

High Order ◽

Diffusion Equations ◽

Moving Mesh ◽

Unconditionally Stable ◽

Convection Diffusion ◽

Finite Difference Solution ◽

High Order Time ◽

Difference Solution

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Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity

Numerical Algorithms ◽

10.1007/s11075-020-00923-8 ◽

2020 ◽

Author(s):

Zhaopeng Hao ◽

Wanrong Cao ◽

Shengyue Li

Keyword(s):

Finite Difference ◽

Dimensional Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Boundary Singularity ◽

Fractional Diffusion Equations ◽

Finite Difference Solution ◽

Difference Solution

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Implicit finite difference solution for time-fractional diffusion equations using AOR method

Journal of Physics Conference Series ◽

10.1088/1742-6596/495/1/012032 ◽

2014 ◽

Vol 495 ◽

pp. 012032 ◽

Cited By ~ 8

Author(s):

A Sunarto ◽

J Sulaiman ◽

A Saudi

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Aor Method ◽

Finite Difference Solution ◽

Implicit Finite Difference ◽

Difference Solution

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Finite difference solution of the time dependent neutron group diffusion equations

10.2172/4140727 ◽

1975 ◽

Cited By ~ 1

Author(s):

John S. Hendricks ◽

Allan F. Henry

Keyword(s):

Finite Difference ◽

Time Dependent ◽

Diffusion Equations ◽

Finite Difference Solution ◽

Difference Solution

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Moving mesh finite difference solution of non-equilibrium radiation diffusion equations

Numerical Algorithms ◽

10.1007/s11075-019-00662-5 ◽

2019 ◽

Vol 82 (4) ◽

pp. 1409-1440

Author(s):

Xiaobo Yang ◽

Weizhang Huang ◽

Jianxian Qiu

Keyword(s):

Finite Difference ◽

Diffusion Equations ◽

Moving Mesh ◽

Radiation Diffusion ◽

Finite Difference Solution ◽

Equilibrium Radiation ◽

Difference Solution ◽

Non Equilibrium

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A finite element-finite difference solution of three-dimensional viscous-inviscid interaction

Communications in Applied Numerical Methods ◽

10.1002/cnm.1630040217 ◽

1988 ◽

Vol 4 (2) ◽

pp. 251-254 ◽

Cited By ~ 3

Author(s):

Ü. Gülçat ◽

A. R. Aslan

Keyword(s):

Finite Element ◽

Finite Difference ◽

Three Dimensional ◽

Finite Difference Solution ◽

Difference Solution

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MKSOR iterative method for the Grünwald implicit finite difference solution of one-dimensional time-fractional parabolic equations

10.1063/1.5121063 ◽

2019 ◽

Author(s):

Fatihah Anas Muhiddin ◽

Jumat Sulaiman ◽

Andang Sunarto

Keyword(s):

Finite Difference ◽

Iterative Method ◽

Parabolic Equations ◽

One Dimensional ◽

Finite Difference Solution ◽

Implicit Finite Difference ◽

Difference Solution

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A collocation finite element-finite difference solution for developing isothermal flow between two parallel plates

Computers & Fluids ◽

10.1016/0045-7930(83)90022-1 ◽

1983 ◽

Vol 11 (4) ◽

pp. 379-390 ◽

Cited By ~ 1

Author(s):

F. Zirilli ◽

R.A. Wirtz

Keyword(s):

Finite Element ◽

Finite Difference ◽

Isothermal Flow ◽

Parallel Plates ◽

Finite Difference Solution ◽

Difference Solution

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An elemental scale adjustment method for the finite element and finite difference solutions of diffusion-reaction and convection–diffusion equations

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2012.04.001 ◽

2012 ◽

Vol 58 ◽

pp. 1-9

Author(s):

M. Parvazinia

Keyword(s):

Finite Element ◽

Finite Difference ◽

Diffusion Equations ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Adjustment Method

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