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Multiply constrained partitioned nonlinear equation solvers

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Publication:1109612
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DOI10.1007/BF00368960zbMath0655.73043MaRDI QIDQ1109612

S. H. Smith

Publication date: 1988

Published in: Computational Mechanics (Search for Journal in Brave)


zbMATH Keywords

numerical experimentspostbuckling behaviorprebucklinglarge deformation kinematicmultiply constrained partitioned Newton Raphson nonlinear equation solver


Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Finite element methods applied to problems in solid mechanics (74S05)



Uses Software

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Cites Work

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  • Operating characteristics of hyperbolically and elliptically constrained self-adaptive incremental Newton-Raphson algorithms
  • Formal convergence characteristics of elliptically constrained incremental Newton-Raphson algorithms
  • An incremental approach to the solution of snapping and buckling problems
  • Locally bound constrained Newton-Raphson solution algorithms
  • The solution of nonlinear finite element equations
  • A fast incremental/iterative solution procedure that handles “snap-through”




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