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Transactions: WSEAS TRANSACTIONS ON ELECTRONICS
Transactions ID Number: 31-890
Full Name: Zhongdi Cen
Position: Professor
Age: ON
Sex: Female
Address: No.8 South Qian Hu Road Ningbo
Country: CHINA
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E-mail address: czdnb@tom.com
Other E-mails: gaoyibo@gmail.com
Title of the Paper: Convergence Analysis of a Streamline Diffusion Method for a Singularly Perturbed Convection-diffusion Problem
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Number of paper pages: 10
Abstract: A streamline diffusion finite element method (SDFEM) is applied to a singularly perturbed convection-diffusion two-point boundary value problem in conservative form. The stability and accuracy of the SDFEM on arbitrary grids are studied. We derive the pointwise error estimates and the approximation of derivatives. These bounds are then made explicit for the particular cases of Shishkin-type meshes. Numerical experiments support our theoretical results.
Keywords: Convection-diffusion, singular perturbation, streamline diffusion, Shishkin-type mesh
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