Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations
Sign Up to like & getrecommendations! Published in 2021 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00230-x
Abstract: In the case of singular (and possibly even nonisolated) solutions of nonlinear equations, while superlinear convergence of the Newton method cannot be guaranteed, local linear convergence from large domains of starting points still holds under… read more here.
Keywords: convergence; newton method; nonlinear equations; solutions nonlinear ... See more keywords
Accelerating the convergence of AFETI partitioned analysis of heterogeneous structural dynamical systems
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.112726
Abstract: Abstract Variationally based algorithms for the partitioned solution of structural mechanics problems are presented. Two key features of the present algorithms are the judicious application of the d’Alembert-Lagrange principal equations and the use of dominant… read more here.
Keywords: afeti partitioned; partitioned analysis; accelerating convergence; convergence afeti ... See more keywords