Variational Multiscale Stabilization of High-Order Spectral Elements for the Convection-Diffusion Equation

Mapping Intimacies ◽

10.21236/ada590018 ◽

2012 ◽

Author(s):

S. Marras ◽

J. F. Kelly ◽

F. X. Giraldo ◽

M. Vazquez

Keyword(s):

Diffusion Equation ◽

Spectral Elements ◽

Convection Diffusion ◽

Variational Multiscale ◽

Convection Diffusion Equation

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New formulas of the high‐order derivatives of fifth‐kind Chebyshev polynomials: Spectral solution of the convection–diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22756 ◽

2021 ◽

Author(s):

Waleed M. Abd‐Elhameed ◽

Youssri H. Youssri

Keyword(s):

Diffusion Equation ◽

Chebyshev Polynomials ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Spectral Solution ◽

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Two-grid variational multiscale method with bubble stabilization for convection diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.06.023 ◽

2016 ◽

Vol 40 (2) ◽

pp. 1097-1109 ◽

Author(s):

Zhifeng Weng ◽

Jerry Zhijian Yang ◽

Xiliang Lu

Keyword(s):

Diffusion Equation ◽

Multiscale Method ◽

Variational Multiscale Method ◽

Convection Diffusion ◽

Variational Multiscale ◽

Convection Diffusion Equation

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FINITE ELEMENT ALGORITHM BASED ON HIGH-ORDER TIME APPROXIMATION FOR TIME FRACTIONAL CONVECTION-DIFFUSION EQUATION

Journal of Applied Analysis & Computation ◽

10.11948/2018.229 ◽

2018 ◽

Vol 8 (1) ◽

pp. 229-249 ◽

Author(s):

Xin Fei Liu ◽

◽

Yang Liu ◽

Hong Li ◽

Zhi Chao Fang ◽

...

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Time Approximation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

High Order Time ◽

Element Algorithm

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Variational multiscale stabilization of high-order spectral elements for the advection–diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2012.06.028 ◽

2012 ◽

Vol 231 (21) ◽

pp. 7187-7213 ◽

Author(s):

S. Marras ◽

J.F. Kelly ◽

F.X. Giraldo ◽

M. Vázquez

Keyword(s):

Diffusion Equation ◽

Spectral Elements ◽

Variational Multiscale ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection–diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.02.053 ◽

2018 ◽

Vol 331 ◽

pp. 140-159 ◽

Author(s):

Kun Wang ◽

Hongyue Wang

Keyword(s):

Diffusion Equation ◽

Error Estimates ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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A Compact High-Order Finite Difference Method for Unsteady Convection-Diffusion Equation

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2012.660227 ◽

2012 ◽

Vol 13 (3) ◽

pp. 135-145 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Difference Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

High Order Finite Difference

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A high-order compact exponential scheme for the fractional convection–diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.06.001 ◽

2014 ◽

Vol 255 ◽

pp. 404-416 ◽

Author(s):

Mingrong Cui

Keyword(s):

Diffusion Equation ◽

Convection Diffusion ◽

Convection Diffusion Equation

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A Novel Method to Deduce a High-Order Compact Difference Scheme for the Three-Dimensional Semilinear Convection-Diffusion Equation with Variable Coefficients

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2013.778628 ◽

2013 ◽

Vol 63 (5) ◽

pp. 425-455 ◽

Author(s):

Shuying Zhai ◽

Xinlong Feng ◽

Demin Liu

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Three Dimensional ◽

Variable Coefficients ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

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A variational multiscale method based on bubble functions for convection-dominated convection–diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.07.023 ◽

2010 ◽

Vol 217 (5) ◽

pp. 2226-2237 ◽

Author(s):

Lina Song ◽

Yanren Hou ◽

Haibiao Zheng

Keyword(s):

Diffusion Equation ◽

Multiscale Method ◽

Variational Multiscale Method ◽

Convection Diffusion ◽

Variational Multiscale ◽

Convection Diffusion Equation ◽

Bubble Functions ◽

Convection Dominated

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On the improvement of convergence rate of difference schemes with high order differences for a convection-diffusion equation

10.1063/1.4912679 ◽

2015 ◽

Author(s):

Givi Berikelashvili ◽

Murli M. Gupta ◽

Bidzina Midodashvili

Keyword(s):

Diffusion Equation ◽

Convergence Rate ◽

Difference Schemes ◽

Convection Diffusion ◽

Convection Diffusion Equation

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