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Overlapping Domain Decomposition methods with distributed Lagrange multipliers

Journal of Numerical Mathematics, 2001
An overlapping domain decomposition method for second-order elliptic boundary-value problems is studied. Nonmatching simplicial triangulations are employed for the subdomains while the coupling conditions are enforced by means of distributed Lagrange multipliers. The LBB condition is verified and an efficient preconditioner is suggested.
Hoppe, Ronald H. W., Kuznetsov, Yuri A.
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A Generalized Lagrange-Multiplier Method for Constrained Matrix Games

Operations Research, 1971
This paper presents a general method for solving constrained matrix games of a type occurring frequently in military and industrial operations research. The usual context is the optimal allocation of constrained resources by two opposing sides among a series of independent cells such that the payoff overall is the sum of the payoffs at each cell.
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Convergence of a substructuring method with Lagrange multipliers

Numerische Mathematik, 1996
The convergence of a substructuring iterative method with Lagrange multipliers is analyzed. This method was recently proposed by \textit{C. Farhat} and \textit{F.-X. Roux} [Int. J. Numer. Methods Eng. 32, No. 6, 1205-1227 (1991; Zbl 0758.65075)]. The method decomposes finite element discretization of an elliptic boundary value problem into Neumann ...
Mandel, Jan, Tezaur, Radek
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One Feature of Using the General Lagrange Multiplier Method

Computational Mathematics and Mathematical Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Albu, A. F., Zubov, V. I.
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A quick derivation of the Lagrange multiplier method

International Journal of Mathematical Education in Science and Technology, 1981
A short, direct derivation of the Lagrange multiplier method which avoids complicated interpretations is presented.
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On the connection between the stabilized Lagrange multiplier and Nitsche’s methods

Numerische Mathematik, 2015
This paper deals with a domain decomposition for the Poisson problem, where the domain are meshed independently and then joined together weakly using either the stabilized Lagrange multiplier or Nitsche's method. The connection between the methods is used to derive robust Nitsche's method. Stability and a priori analysis in the mean dependent norms are
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Lagrange Multiplier Methods for Optimization with Constraints

1985
From the preceding chapters it is clear that structural optimization essentially consists of finding a function t(x) that minimizes an integral of the type ∫ v γ(t) dx under a set of equality and inequality constraints. For example, if we wish to minimize the volume of a structure subject to assigned loads at plastic collapse, conditions of equilibrium
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Initial Lagrange Multipliers for the Shooting Method

Journal of Guidance, Control, and Dynamics, 2008
T HE purpose of this Note is to concisely discuss the analytical aspects of a number of methods for obtaining initial Lagrange multipliers for the shooting method. Because the ultimate goal is to use the shooting method, the partial derivatives of the state equation with respect to the time, the state, and the control are available and can be used to ...
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Lagrange Multiplier Method

Journal of the Society of Mechanical Engineers, 2009
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