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An effective and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids. [PDF]
J Comput PhysTerrell EM +3 more
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A method for characterizing and analyzing the structural behavior of concrete dams in cold regions. [PDF]
Sci RepFu X, Wang M, Zhao G, Xu Y, Qi Y, Gu C.
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Computational Mathematics and Mathematical Physics, 2012
Summary: The paper is devoted to the analysis of the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method and the efficiency of various techniques for accelerating the final stage of this method.
Alexey Izmailov
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Summary: The paper is devoted to the analysis of the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method and the efficiency of various techniques for accelerating the final stage of this method.
Alexey Izmailov
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Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier [PDF]
Mathematics and Computers in Simulation, 2023 [EN]The variational iteration method (VIM) has been in the last two decades, one of the most used semi-analytical techniques for approximating nonlinear differential equations.
Mehakpreet Singh +2 more
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On the contact domain method: A comparison of penalty and Lagrange multiplier implementations [PDF]
Computer Methods in Applied Mechanics and Engineering, 2012 This work focuses on the assessment of the relative performance of the so-called contact domain method, using either the Lagrange multiplier or the penalty strategies.
Javier Oliver
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On the method of Lagrange multiplier and others
Acta Mechanica Sinica, 1986The fundamentals for the correct use of the method of Lagrange multipliers are presented and illustrated by examples. It is pointed out that for a given problem of mechanics, there may be many equivalent and unequivalent variational principles. The functionals of the so-called generalized variational principles of elasticity are linear combinations of ...
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International Journal for Numerical Methods in Engineering, 2009 peer reviewedThis paper introduces a new algorithm to define a stable Lagrange multiplier space to impose stiff interface conditions within the context of the extended finite element method. In contrast to earlier approaches.
Barbara Wohlmuth, Nicolas Moes
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Augmented Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates
SIAM Journal on Numerical Analysis, 2002The paper studies augmented Lagrangian-SQP methods with Lipschitz-continuous Lagrange multiplier updates depending only on the \(x\)-variable, where the problem to be solved is an equality constrained minimization problem in Hilbert spaces. For this class of methods, a Kantorovich type convergence result is proved, which is based on a suitable new ...
Ekkehard W. Sachs, Stefan Volkwein
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Stochastic subgradient methods with approximate Lagrange multipliers
2016 IEEE 55th Conference on Decision and Control (CDC), 2016We study the use of approximate Lagrange multipliers in the stochastic subgradient method for the dual problem in constrained convex optimisation. The use of approximate Lagrange multipliers in the optimisation (instead of the true multipliers) is motivated by the fact that it is possible to accurately approximate some non-convex control problems as ...
Víctor Valls, Douglas J. Leith
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Constrained Optimization and Lagrange Multiplier Methods
, 1982 Constrained Optimization and Lagrange Multiplier ...
Bertsekas, Dimitri P, Rheinboldt, Werner
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