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The Semi-discrete Streamline Diffusion Finite Element Method for Time-dependented Convection–diffusion Problems by Zhiyong Si; Xinlong Feng; Abdurishit Abduwali is a Mathematics article available to read on EtoBox.

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In this paper, a semi-discrete streamline diffusion finite element method (SDFEM) for solving the time-dependent convection-dominated diffusion problem in one dimension is studied. Under the mild regularity assumptions, the convergence/stability results are derived. Finally, some numerical experiments are given for a convection-dominated problem with boundary layer at x 1⁄4 1 by using P 1 -element. Compared with the finite difference streamline diffusion method (FDSDM), the semi-discrete SDFEM is more stable and it can imitate the exact solution effectively.

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Author

Zhiyong Si; Xinlong Feng; Abdurishit Abduwali

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)

Published

2008

Language

EN

Field

Mathematics (Physical Sciences)