Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex-Reference-Cited by-同舟云学术

Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex

Published: Issue: Volume: Page:23-46
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Container-title:Compatible Spatial Discretizations
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Author:

Arnold Douglas N.,Falk Richard S.,Winther Ragnar

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/0-387-38034-5_2.pdf

Reference22 articles.

1. D.N. Arnold, Differential complexes and numerical stability, in Proceedings of the International Congress of Mathematicians, Vol. I: Plenary Lectures and Ceremonies, L. Tatsien, ed., Higher Education Press, Beijing, 2002, pp. 137–157.

2. D.N. Arnold and R. Winther, Mixed finite elements for elasticity, Numer. Math., 92 (2002), pp. 401–419.

3. V.I. Arnold, Mathematical Methods of Classical Physics, Springer-Verlag, New York, 1978.

4. I. Babuška and A.K. Aziz, Survey lectures on the mathematical foundations of the finite element method, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, New York, 1972.

5. I. Babuška and R. Narasimhan, The Babuška-Brezzi condition and the patch test: an example, Comput. Methods Appl. Mech. Engrg., 140 (1997), pp. 183–199.

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