Constraint relationships in linear and nonlinear finite element analyses

DOI10.1002/nme.1620180404zbMath0482.73058OpenAlexW2144906292MaRDI QIDQ3940975

John Barlow

Publication date: 1982

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620180404

zbMATH Keywords

Lagrange multipliersnonlinear analysispenalty functioneliminationrigid body constraints in geometric nonlinearityunconstrained stiffness equation

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Newton-type methods (49M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Simulation of special loading conditions by means of non-linear constraints imposed through Lagrange multipliers ⋮ Adapting Broyden method to handle linear constraints imposed via Lagrange multipliers ⋮ Direct application of constraints to symmetric algebraic systems ⋮ The use of negative penalty functions in linear systems of equations ⋮ Review of coupling methods for non-matching meshes