Finite dimensional approximation of nonlinear problems
作者： F. Brezzi , J. Rappaz , P. -A. Raviart
DOI: 10.1007/BF01395805
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摘要: In the first two papers of this series [4, 5], we have studied a general method approximation nonsingular solutions and simple limit points nonlinear equations in Banach space. We derive here results branches neighborhood bifurcation point. The abstract theory is applied to Galerkin variational problems mixed finite element von Karman equations.
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Hiroshi Fujii, Masaya Yamaguti, Structure of singularities and its numerical realization in
nonlinear elasticity Journal of Mathematics of Kyoto University. ,vol. 20, pp. 489- 590 ,(1980) , 10.1215/KJM/1250522212
R. S. Falk, J. E. Osborn, Error estimates for mixed methods ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique. ,vol. 14, pp. 249- 277 ,(1980) , 10.1051/M2AN/1980140302491
Claes Johnson, On the convergence of a mixed finite-element method for plate bending problems Numerische Mathematik. ,vol. 21, pp. 43- 62 ,(1973) , 10.1007/BF01436186
V. Girault, P.-A. Raviart, An Analysis of Upwind Schemes for the Navier–Stokes Equations SIAM Journal on Numerical Analysis. ,vol. 19, pp. 312- 333 ,(1982) , 10.1137/0719019
V. Girault, P. A. Raviart, An analysis of a mixed finite element method for the Navier-Stokes equations Numerische Mathematik. ,vol. 33, pp. 235- 271 ,(1979) , 10.1007/BF01398643
H. B. Keller, Approximation methods for nonlinear problems with application to two-point boundary value problems Mathematics of Computation. ,vol. 29, pp. 464- 474 ,(1975) , 10.1090/S0025-5718-1975-0371058-7
I. Babuška, J. Osborn, J. Pitk{äranta, Analysis of mixed methods using mesh dependent norms Mathematics of Computation. ,vol. 35, pp. 1039- 1062 ,(1980) , 10.1090/S0025-5718-1980-0583486-7
C. Bernardi, Approximation of Hopf bifurcation Numerische Mathematik. ,vol. 39, pp. 15- 37 ,(1982) , 10.1007/BF01399309
Vivette Girault, Pierre-Arnaud Raviart, Finite element approximation of the Navier-Stokes equations Lecture Notes in Mathematics, Berlin Springer Verlag. ,vol. 749, ,(1979) , 10.1007/BFB0063447
V. A. Kondrat'ev, Boundary problems for elliptic equations in domains with conical or angular points Trans. Moscow Math. Soc.. ,vol. 16, pp. 227- 313 ,(1967)