On mixed finite element methods for first order elliptic systems
โ Scribed by G. J. Fix; M. D. Gunzburger; R. A. Nicolaides
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 696 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract This paper deals with the finite element displacement method for approximating isolated solutions of general quasilinear elliptic systems. Under minimal assumptions on the structure of the continuous problems it is shown that the discrete analogues also have locally unique solutions whi
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 i
In a recent work, Hiptmair [Mathematisches Institut, M9404, 1994] has constructed and analyzed a family of nonconforming mixed finite elements for second-order elliptic problems. However, his analysis does not work on the lowest order elements. In this article, we show that it is possible to constru