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

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.

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

Citations:

Zbl 0302.65087
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Full Text: DOI

References:

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