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Convergence and Error of Some Numerical Methods for Solving a Convection-Diffusion Problem

Convergence and Error of Some Numerical Methods for Solving a Convection-Diffusion Problem

作     者:Gabriela Nut Ioana Chiorean Petru Blaga 

作者机构:Applied Mathematics Department Babes-Bolyai University Cluj Napoca Romania 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2013年第4卷第5期

页      面:72-79页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Time Dependent Convection Diffusion Multigrid Method Finite Element and Finite Differences Discretization 

摘      要:We use the local Fourier analysis to determine the properties of the multigrid method when used in modeling the skin penetration of a drug. The analyses of these properties can be very in designing an efficient structure of the multigrid method and in comparing the element and finite difference discretization techniques. After the theoretical results obtained, we also present some numerical results for a problem for which the solution is known.

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