A mollification based operator splitting method for convection diffusion equations

被引：6

作者：

Acosta, Carlos D. ^{[2
]}

Mejia, Carlos E. ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Math, Medellin, Colombia

[2] Univ Nacl Colombia, Dept Math & Stat, Manizales, Colombia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 04期

关键词：

Convection-diffusion; Discrete mollification; Operator splitting; Explicit schemes; HYPERBOLIC CONSERVATION-LAWS; FLOCCULATED SUSPENSIONS; DISCRETE MOLLIFICATION;

D O I：

10.1016/j.camwa.2009.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to show that discrete mollification is a suitable ingredient in operator splitting methods for the numerical solution of nonlinear convection-diffusion equations. In order to achieve this goal, we substitute the second step of the operator splitting method of Karlsen and Risebro (1997) [1] for a mollification step and prove that the convergence features are fairly well preserved. We end the paper with illustrative numerical experiments. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1397 / 1408

页数：12

共 50 条

[31] A robust and parallel multigrid method for convection diffusion equations
Bader, M
Zenger, C
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2003, 15 : 122 - 131
[32] Relaxation method for unsteady convection-diffusion equations
Shen, Wensheng
Zhang, Changjiang
Zhang, Jun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 908 - 920
[33] Convergence analysis of a multigrid method for convection–diffusion equations
Arnold Reusken
Numerische Mathematik, 2002, 91 : 323 - 349
[34] A note on Hermitian splitting induced relaxation methods for convection-diffusion equations
Bhuruth, M
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 1998, 14 (05) : 581 - 591
[35] An operator splitting method for nonlinear reactive transport equations and its implementation based on DLL and COM
Liu, JG
Ewing, RE
CURRENT TRENDS IN HIGH PERFORMANCE COMPUTING AND ITS APPLICATIONS, PROCEEDINGS, 2005, : 93 - 102
[36] A SPLITTING ALGORITHM FOR A CONVECTION-DIFFUSION EQUATION BASED ON COMBINING A PARTICLE METHOD WITH AN EXPLICIT SOLUTION
COTTET, GH
GALLIC, S
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1983, 297 (02): : 133 - 136
[37] Natural convection problem in a Bingham fluid using the operator-splitting method
Huilgol, R. R.
Kefayati, G. H. R.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 220 : 22 - 32
[38] A Fast Explicit Operator Splitting Method for Modified Buckley–Leverett Equations
Chiu-Yen Kao
Alexander Kurganov
Zhuolin Qu
Ying Wang
Journal of Scientific Computing, 2015, 64 : 837 - 857
[39] The inverse solution of the atomic mixing equations by an operator-splitting method
Kirkup, Stephen
Yazdani, Javad
Aspey, Robin
Badheka, Ranjan
APPLIED MATHEMATICAL MODELLING, 2014, 38 (7-8) : 2214 - 2223
[40] Stochastic operator-splitting method for reaction-diffusion systems
Choi, TaiJung
Maurya, Mano Ram
Tartakovsky, Daniel M.
Subramaniam, Shankar
JOURNAL OF CHEMICAL PHYSICS, 2012, 137 (18):

← 1 2 3 4 5 →