An arc length control procedure to solve parabolic problems

DOI10.1016/0045-7825(93)90183-XzbMath0783.73081OpenAlexW2075195431MaRDI QIDQ1309624

Antonio Soria, Pierre Pegon

Publication date: 13 March 1994

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90183-x

zbMATH Keywords

iterationerror estimatesradiationJacobian matrixquasi-Newton methodapproximate factorizationstime step selector

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (2)

Unnamed Item ⋮ Error estimates and adaptive finite element methods

Cites Work

• Unnamed Item
• Solution algorithms for nonlinear transient heat conduction analysis employing element-by-element iterative strategies
• Some practical procedures for the solution of nonlinear finite element equations
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• Discrete approximations related to nonlinear theories of solids
• Quasi-Newton iterative strategies applied to the heat diffusion equation
• An arc-length method including line searches and accelerations
• The solution of nonlinear finite element equations
• The application of quasi-Newton methods in fluid mechanics
• Quasi-Newton Methods, Motivation and Theory
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Rank-one and Rank-two Corrections to Positive Definite Matrices Expressed in Product Form

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