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A comparison of some efficient numerical methods for a nonlinear elliptic problem. (English) Zbl 1247.65148
The author compares and realizes three efficient iterative methods (the gradient, Newton and quasi-Newton method), which have mesh independent convergence, and proposes some improvements for them. Numerical results are compared with the theoretical ones.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65H10 Numerical computation of solutions to systems of equations
35J60 Nonlinear elliptic equations
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