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The Lagrange Multiplier Method for Dirichlet's Problem [PDF]

open access: bronzeMathematics of Computation, 1981
The Lagrange multiplier method of Babuška for the approximate solution of Dirichlet’s problem for second order elliptic equations is reformulated. Based on this formulation, new estimates for the error in the solution and the boundary flux are given. Efficient methods for the solution of the approximate problem are discussed.
James H. Bramble
core   +3 more sources

Time series image coding classification theory based on Lagrange multiplier method [PDF]

open access: greenScientific Reports
Time series classification is a crucial area of research within data analysis. Recent advancements in convolutional neural networks (CNNs) for image recognition and classification have inspired innovative approaches in this field.
Wentao Jiang, Ming Zhao, Hongbo Li
doaj   +6 more sources

Computational methods of Gaussian Particle Swarm Optimization (GPSO) and Lagrange Multiplier on economic dispatch issues (case study on electrical system of Java-Bali IV area) [PDF]

open access: diamondEPJ Web of Conferences, 2014
The objective in this paper is about economic dispatch problem of electric power generation where scheduling the committed generating units outputs so as to meet the required load demand at minimum operating cost, while satisfying all units and system ...
Komsiyah S.
doaj   +2 more sources

Perbandingan Metode Gaussian Particle Swarm Optimization (GPSO) dan Lagrange Multiplier pada Masalah Economic Dispatch

open access: yesComTech, 2012
On electric power system operation, economic planning problem is one variable to take into account due to operational cost efficiency. Economic Dispatch problem of electric power generation is discussed in this study to manage the output division on ...
Siti Komsiyah
doaj   +4 more sources

Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier [PDF]

open access: yesMathematics 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.
Saurabh Tomar   +2 more
exaly   +2 more sources

A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle [PDF]

open access: goldJournal of Algorithms & Computational Technology, 2009
This paper discusses the numerical solution of the incompressible viscous flow by the fictitious domain method with distributed Lagrange multiplier. For the analysis of the finite element method, the mixed interpolation based on the bubble function is ...
Takuya Muroi, Mutsuto Kawahara
doaj   +2 more sources

A Lagrange Multiplier Method for Distributed Optimization Based on Multi-Agent Network With Private and Shared Information [PDF]

open access: goldIEEE Access, 2019
In this paper, a Lagrange multiplier method is investigated for designing distributed optimization algorithm, which convergence is analyzed from the view of multi-agent networks with connected graphs.
Yan Zhao, Qingshan Liu
doaj   +2 more sources

On the contact domain method: A comparison of penalty and Lagrange multiplier implementations [PDF]

open access: yesComputer 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.
J Oliver, J Cante
exaly   +2 more sources

A Note on the Method of Lagrange Multipliers with Random Variables

open access: greenSSRN Electronic Journal, 2016
I examine a simple optimisation problem to illustrate how to correctly apply the method of Lagrange multipliers to extremisation problems involving random variables. Such problems are commonplace in economics, but rigorous methods are often not taught. This is a shortcoming in economics pedagogy that it is both easy and worthwhile to remedy.
Steven Kerr
openaire   +2 more sources

Optimisasi Economic Dispatch dengan Transmission Loss Menggunakan Metode Extended Lagrange Multiplier dan Gaussian Particle Swarm Optimization (Gpso)

open access: yesComTech, 2014
In the operating process of electrical energy, economic planning is the main goal to be achieved. The goal of economic dispatch problem is determining the combination of optimal power distribution to a number of operating generator units so that the ...
Siti Komsiyah
doaj   +3 more sources

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