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Finite dimensional approximation of nonlinear problems (1980)

Brezzi, F. ; Rappaz, J. ; Raviart, P. A.

Springer

Numerische Mathematik 36 (1980), S. 1-25

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ISSN: 0945-3245

Keywords: AMS(MOS): 65 N 30 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary We begin in this paper the study of a general method of approximation of solutions of nonlinear equations in a Banach space. We prove here an abstract result concerning the approximation of branches of nonsingular solutions. The general theory is then applied to the study of the convergence of two mixed finite element methods for the Navier-Stokes and the von Kármán equations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01395985

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