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On the existence, uniqueness and convergence of nonlinear mixed finite element methods. (English) Zbl 0709.65080

This paper deals with the functional analytic proofs on the existence, uniqueness and convergence of a class of nonlinear mixed finite element methods. The implementation of such a method is also presented. An optimal error estimate is presented in the last section.
Reviewer: P.K.Mahanti

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
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