Böhmer, Klaus On finite element methods for fully nonlinear elliptic equations of second order. (English) Zbl 1166.35322 SIAM J. Numer. Anal. 46, No. 3, 1212-1249 (2008). Cited in 1 ReviewCited in 35 Documents MSC: 35J20 Variational methods for second-order elliptic equations 35J25 Boundary value problems for second-order elliptic equations 35J60 Nonlinear elliptic equations 35J65 Nonlinear boundary value problems for linear elliptic equations 41A15 Spline approximation 46N40 Applications of functional analysis in numerical analysis 47N40 Applications of operator theory in numerical analysis 65D18 Numerical aspects of computer graphics, image analysis, and computational geometry 65H10 Numerical computation of solutions to systems of equations 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:conforming; nonconforming finite element method; \({\mathbb R}^n\); variational crimes; fully nonlinear elliptic differential equations; order \(2; C^1\) finite elements; quasi-linear elliptic equations not in divergence form; stability; convergence; regularity for finite element solutions; discrete Newton method; locally quadratic convergence PDF BibTeX XML Cite \textit{K. Böhmer}, SIAM J. Numer. Anal. 46, No. 3, 1212--1249 (2008; Zbl 1166.35322) Full Text: DOI OpenURL