A Newton-Lanczos method for solution of non-linear finite element equations

DOI10.1016/0045-7949(83)90164-5zbMath0499.73058OpenAlexW2116398018MaRDI QIDQ3965685

Robert L. Taylor, Beresford N. Parlett, Bahram Nour-Omid

Publication date: 1983

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(83)90164-5

zbMATH Keywords

rate of convergenceNewton's methodinitial-boundary value problemsLanczos algorithmquasi-Newtonmodified Newton methodpartial reorthogonalizationlinearized set of equationsselective orthogonalizationasymptotic cost estimateslocal convergence characteristicsNewton-Lanczos methodvaried from superlinear to quadratic by controlling certain tolerance

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element methods applied to problems in solid mechanics (74S05)

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