Locally bound constrained Newton-Raphson solution algorithms

DOI10.1016/0045-7949(86)90211-7zbMath0582.73076OpenAlexW1994755697MaRDI QIDQ3705041

Ralph Moscarello, Joe Padovan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90211-7

zbMATH Keywords

steady statefree vibrationvariable propertiestwo dimensional problemspotential flow problemautomatic adjustmentarbitrary boundariesautomatic load/deflection incrementationboundary value problems with variable coefficientsclosed form Fourier series solutionsconstraint surfaceskinematic and material induced nonlinearitylocalized bounds on various hierarchical partitions of the field variablespre- and postbuckling behaviorresize, shape, and orient the global constraint surfacesummation equation of fast convergence

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Numerical and other methods in solid mechanics (74S99)

Related Items (2)

Multiply constrained partitioned nonlinear equation solvers ⋮ On the convergence of block constrained nonlinear equation solvers^∗

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