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

