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Convergence and error bound analysis for the space-time CESE method

✍ Scribed by Daoqi Yang; Shengtao Yu; Jennifer Zhao

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 149 KB
Volume: 17
Category: Article
ISSN: 0749-159X
DOI: 10.1002/1098-2426(200101)17:1<64::aid-num5>3.0.co;2-6

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✦ Synopsis

In this work, we study the convergence behavior of a recently developed space-time conservation element and solution element method for solving conservation laws. In particular, we apply the method to a onedimensional time-dependent convection-diffusion equation possibly with high Peclet number. We prove that the scheme converges and we obtain an error bound. This method performs well even for strong convection dominance over diffusion with good long-time accuracy. Numerical simulations are performed to verify the results.

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