A note on the relation between the Newton homotopy method and the damped Newton method

zbMath1288.65078MaRDI QIDQ2450057

Bo Yu, XuPing Zhang

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp373-380.html

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zbMATH Keywords

algorithmnumerical examplefinite element methodsemilinear elliptic equationshomotopy continuationnonlinear algebraic equationsdamped Newton methoddomain of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Semilinear elliptic equations (35J61)

Uses Software

• iFEM

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