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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
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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. 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.
出处 《Applied Mathematics》 2013年第5期72-79,共8页 应用数学(英文)
关键词 Time Dependent CONVECTION Diffusion MULTIGRID Method FINITE Element and FINITE DIFFERENCES DISCRETIZATION Time Dependent Convection Diffusion Multigrid Method Finite Element and Finite Differences Discretization

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