Error analysis of a DG method employing ideal elements applied to a nonlinear convection–diffusion problem

Journal of Numerical Mathematics ◽

10.1515/jnum.2011.007 ◽

2011 ◽

Vol 19 (2) ◽

Author(s):

V. Sobotíková

Keyword(s):

Error Analysis ◽

Diffusion Problem ◽

Nonlinear Convection ◽

Convection Diffusion ◽

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The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404728 ◽

2003 ◽

Vol 41 (5) ◽

pp. 1620-1642 ◽

Author(s):

Martin Stynes ◽

Lutz Tobiska

Keyword(s):

Boundary Layer ◽

Error Analysis ◽

Diffusion Problem ◽

Optimal Error ◽

Convection Diffusion

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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

American Journal of Computational Mathematics ◽

10.4236/ajcm.2011.14032 ◽

2011 ◽

Vol 01 (04) ◽

pp. 264-270 ◽

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Ning Du

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

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Application of regularization technique to variational adjoint method: A case for nonlinear convection–diffusion problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.028 ◽

2011 ◽

Vol 218 (8) ◽

pp. 4475-4482 ◽

Author(s):

Yue-Peng Wang ◽

Su-Lin Tao

Keyword(s):

Adjoint Method ◽

Diffusion Problem ◽

Regularization Technique ◽

Nonlinear Convection ◽

Convection Diffusion

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An upwind finite-volume element scheme and its maximum-principle-preserving property for nonlinear convection–diffusion problem

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1623 ◽

2008 ◽

Vol 56 (12) ◽

pp. 2301-2320 ◽

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Danping Yang

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Nonlinear Convection ◽

Element Scheme ◽

Convection Diffusion ◽

Finite Volume Element

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Retrieving the variable coefficient for a nonlinear convection–diffusion problem with spectral conjugate gradient method

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2015.1017479 ◽

2015 ◽

Vol 23 (8) ◽

pp. 1342-1365 ◽

Author(s):

Yue-Peng Wang ◽

Su-Lin Tao ◽

Qun Chen

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Variable Coefficient ◽

Diffusion Problem ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Spectral Conjugate Gradient

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Error analysis for optimal control problem governed by convection diffusion equations: DG method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.12.024 ◽

2011 ◽

Vol 235 (10) ◽

pp. 3163-3177 ◽

Author(s):

Chunguang Xiong ◽

Yuan Li

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Error Analysis ◽

Control Problem ◽

Diffusion Equations ◽

Convection Diffusion ◽

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OptimalL∞(L2)-Error Estimates for the DG Method Applied to Nonlinear Convection–Diffusion Problems with Nonlinear Diffusion

Numerical Functional Analysis and Optimization ◽

10.1080/01630561003734917 ◽

2010 ◽

Vol 31 (3) ◽

pp. 285-312 ◽

Author(s):

Václav Kučera

Keyword(s):

Error Estimates ◽

Nonlinear Diffusion ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Dg Method ◽

Diffusion Problems

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The semidiscrete finite volume element method for nonlinear convection–diffusion problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.01.094 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7546-7556 ◽

Author(s):

Tong Zhang

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

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The upwind finite volume element method based on straight triangular prism partition for nonlinear convection-diffusion problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.02.022 ◽

2006 ◽

Vol 181 (2) ◽

pp. 1229-1242 ◽

Author(s):

Fuzheng Gao ◽

Yirang Yuan

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Triangular Prism ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

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An Iterative domain decomposition algorithm for a nonlinear convection-diffusion problem

ANZIAM Journal ◽

10.21914/anziamj.v48i0.68 ◽

2007 ◽

Vol 49 ◽

pp. 494

Author(s):

Sophie Pack ◽

Igor Boglaev

Keyword(s):

Domain Decomposition ◽

Diffusion Problem ◽

Decomposition Algorithm ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Domain Decomposition Algorithm

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