Feistauer, Miloslav; Ženišek, Alexander Finite element solution of nonlinear elliptic problems. (English) Zbl 0637.65107 Numer. Math. 50, 451-475 (1987). A study of the convergence of finite element approximations to a nonlinear second order boundary problem with strongly monotone and Lipschitz-continuous operator is presented. Reviewer: I.Evzerov Cited in 2 ReviewsCited in 56 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65K10 Numerical optimization and variational techniques 65H10 Numerical computation of solutions to systems of equations 35J65 Nonlinear boundary value problems for linear elliptic equations 49J20 Existence theories for optimal control problems involving partial differential equations Keywords:nonlinear elliptic variational problems; convergence; finite element; strongly monotone and Lipschitz-continuous operator × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. Amsterdam: North-Holland 1978 · Zbl 0383.65058 [2] Ciarlet, P.G., Raviart, P.A.: The combined effect of curved boundaries and numerical integration in isoparametric finite element method. 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