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Development of Finite Element Domain Decomposition Method Using Local and Mixed Lagrange Multipliers

Journal of the Computational Structural Engineering Institute of Korea, 2012
In this paper, a finite element domain decomposition method using local and mixed Lagrange multipliers for a large scal structural analysis is presented. The proposed algorithms use local and mixed Lagrange multipliers to improve computational efficiency.
Olivier Bauchau
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Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems

SIAM Journal on Optimization, 2020
International audienceThe main objective of this work is to study the existence of Lagrange multipliers for infinite dimensional problems under Gateaux differentiability assumptions on the data.
Francisco J Silva, A Jourani
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On Lagrange Multipliers and Inequalities

Operations Research, 1961
Necessary and sufficient conditions for minima (maxima) of nonlinear functionals subjected to linear constraints are derived. Two classes of functionals are considered (a) convex (concave) functionals for which necessary and sufficient conditions for global minima (maxima) are obtained, and (b) more general functionals possessing continuous second ...
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On the Genesis of the Lagrange Multipliers

Journal of Optimization Theory and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonzero lagrange multipliers

Journal of Optimization Theory and Applications, 1980
Solutions of constrained minimization problems give rise to Lagrange multiplier rules. In this paper, we show that a simple condition on a specific constraint implies that the associated coefficient in the Lagrange multiplier rule is not zero. We conclude with an example which shows that such knowledge increases the information available about the ...
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LAGRANGE MULTIPLIERS IN INTRINSIC ELASTICITY

Mathematical Models and Methods in Applied Sciences, 2011
In an intrinsic approach to three-dimensional linearized elasticity, the unknown is the linearized strain tensor field (or equivalently the stress tensor field by means of the constitutive equation), instead of the displacement vector field in the classical approach.
Iosifescu, Oana, Ciarlet, Philippe G., Ciarlet, Patrick, Sauter, Stefan, Jun, Zou   +4 more
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On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints

SIAM Journal on Optimization, 1997
. In this paper we study uniqueness of Lagrange multipliers in optimization problems subject to cone constraints. The main tool in our investigation of this question will be a calculus of dual (polar) cones. We give sufficient and in some cases necessary
Alexander Shapiro
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Vector maximisation and lagrange multipliers

Mathematical Programming, 1985
This paper deals with the characterization of the efficient set of a set \(Z\subseteq {\mathbb{R}}^ n\), further constrained by constraints \(g_ k(x)\leq 0\), \(1\leq k\leq p\), with respect to a multiple objective vector function \(f: {\mathbb{R}}^ n\to {\mathbb{R}}^ m\).
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A note on an approximate lagrange multiplier rule

Mathematical Programming, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joydeep Dutta, Suvendu Ranjan Pattanaik, Michel Théra   +2 more
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On the method of Lagrange multiplier and others

Acta Mechanica Sinica, 1986
The 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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