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Finite element methods for elliptic systems with constraints

✍ Scribed by Manfred Dobrowolski

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
67 KB
Volume
6
Category
Article
ISSN
1070-5325

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✦ Synopsis

For a generalized Stokes problem it is shown that weak solvability is equivalent to ellipticity of the system. In the case of ellipticity, the standard mixed finite element method converges if a Babuska-Brezzi condition for the pressure-form holds. This result is also true if the pressure operator is not the Lagrangean multiplier of the constraint. The results are applied to a non-isothermal gas flow in metalorganic chemical vapor deposition (MOCVD) reactors. Some numerical computations using Uzawa's method are given.

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