Forty years of the Crouzeix-Raviart element. (English) Zbl 1310.65142

Brenner, Susanne C.

Numer. Methods Partial Differ. Equations 31, No. 2, 367-396 (2015).

Summary: Since the nonconforming \(P_{1}\) finite element method for the Stokes equations was introduced by M. Crouzeix and P. A. Raviart in [Rev. Franc. Automat. Inform. Rech. Operat., R 7, No. 3, 33–76 (1974; Zbl 0302.65087)], there have been many advances in the finite element methodologies for nonconforming methods. This article, which is based on the Babuška Lecture at MAFELAP 2013, surveys some of these developments.

© 2014 Wiley Periodicals, Inc.

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65-03	History of numerical analysis
01A60	History of mathematics in the 20th century
01A61	History of mathematics in the 21st century

Keywords:

finite element; nonconforming; Crouzeix-Raviart

Citations:

Zbl 0302.65087

References:

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