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Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems

โœ Scribed by Zhangxin Chen

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
709 KB
Volume
48
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper characteristic-nonconforming finite-element methods are studied for time dependent advection-dominated diffusion problems. The diffusion term in these problems is discretized using nonconforming finite elements, and the temporal differentiation and advection terms are treated by characteristic tracking schemes. Various nonconforming finite elements and characteristic tracking schemes are studied. Stability and convergence properties of the characteristic nonconforming methods are obtained; unconditionally stable results and error estimates of optimal order are established.

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