A comparison of some efficient numerical methods for a nonlinear elliptic problem

DOI10.2478/s11533-011-0071-6zbMath1247.65148OpenAlexW1985076316MaRDI QIDQ432223

Balázs Kovács

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0071-6

zbMATH Keywords

numerical experimentsiterative methodsNewton methodnonlinear elliptic problemgradient methodquasi-Newton methodradiative cooling problemstepwise variable preconditioning

Mathematics Subject Classification ID

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

Related Items (3)

Operator preconditioning with efficient applications for nonlinear elliptic problems ⋮ On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. ⋮ Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities

Cites Work

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• Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body
• A classification of quasi-Newton methods
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Quasi-Newton Methods, Motivation and Theory
• Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space

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