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Showing 1 to 15 of 15 for “"lagrange multiplier method"”.
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A Lagrange multiplier method for solving multi-objective linear programs
Thesis: M.S., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 1990
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Optimization model for consumption taxation in Malaysia: a case study of goods and services tax
… covered both individual and firm. The Lagrange multiplier method was applied to solve the proposed model. The first-order necessary conditions for the model were derived and the computational solutions were obtained in the Excel spreadsheet environment, with the consumption tax varied …
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Quantifying Information Flow with Constraints
… allowing us to apply the standard technique of Lagrange multiplier method. Application of this technique turns out to require development of some novel methods due to the essential use of non-linear (entropy) constraints, in conjunction with the linear dependency constraints. Using these methods …
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Decoupling methods for the time-dependent Navier-Stokes-Darcy interface model
<p>"In this research, several decoupling methods are developed and analyzed for approximating the solution of time-dependent Navier-Stokes-Darcy (NS-Darcy) interface problems. This research on decoupling methods is motivated to efficiently solve the complex Stokes-Darcy or NS-Darcy type models, …
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Thermal Analysis and Response of Grid-Stiffened Composite Panels
… undeformed prebuckling state. Rayleigh-Ritz Method, which utilizes minimization of the total energy of a structure to determine the buckling loads, is used to govern the buckling analysis of composite laminates forming the panel. Lagrange Multiplier Method is used along with the Rayleigh-Ritz …
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Gradient-Based Optimum Aerodynamic Design Using Adjoint Methods
Continuous adjoint methods and optimal control theory are applied to a pressure-matching inverse design problem of quasi 1-D nozzle flows. Pontryagin’s Minimum Principle is used to derive the adjoint system and the reduced gradient of the cost functional. The properties of adjoint variables at the …
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Nondeterministic Linear Static Finite Element Analysis: An Interval Approach
… attention in the development of the present method is given to control the dependence problem for sharp results. The developed method is based on an Element-By-Element (EBE) technique. By using the EBE technique, the interval parameters can be handled more efficiently to control the …
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A Stabilized Finite Element Formulation of Non-Smooth Contact
… engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or purely numerical, as in the coupling of non-conforming meshes. The most critical part of …
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Performance assessment and enhancement of precision controlled structures during conceptual design
… A complete end-to-end performance assessment methodology is developed which incorporates disturbance, sensitivity, and uncertainty analysis tools within a common state-space framework. The disturbance analysis is conducted using either a time-domain, frequency-domain, or Lyapunov approach to …
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Modeling, Analysis, and Algorithms for Some Supply Chain Logistics Optimization Problems
… programming framework and develop an effective Lagrange multiplier method for the solution of the single-period problem, which is then used to solve the multi-period problem. We show that the optimal shipments in each period follow a pattern of geometric-then-equal sizes except for the last …
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Electro hydrodynamic manipulation of the process of self-assembly of particles at fluid-fluid interfaces
… of particles is tracked using a distributed Lagrange multiplier method (DLM) and the electric force acting on the particles is calculated by integrating the Maxwell stress tensor (MST) over the particle surfaces. One of the key features of the DLM method is that the fluid-particle system is …
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Electrohydrodynamic manipulation of multiphase fluids
… The interface is tracked by the level set method and the electrostatic forces are computed using the Maxwell stress tensor approach. The distributed Lagrange multiplier method is used for tracking particles. One of the main results of this work is that the distribution of particles on the …
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Direct numerical simulations and experimental investigation of dielectrophoresis
… simulation scheme based on the distributed Lagrange multiplier method. In this scheme, the fluid flow equations are solved both inside and outside the particle boundaries and flow inside the particle boundary is forced to be a rigid body motion by using the distributed Lagrange multiplier. …
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An Algorithm and Methodology for Static Response Based Damage Detection in Structural Systems
… least squares approximation for determining the Lagrange multipliers that are necessary for optimization. Second, an active parameter selection subroutine is used to improve the accuracy of damage detection in the presence of experimental error. Third, an optimal load case algorithm is presented …
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The use of artificial intelligence techniques for power analysis
… has been carried out explaining terminology and methodology along with a number of techniques used for their implementation. Although the mathematical concepts are not new, many of them were recorded more than fifty years ago, the introduction of fast computers has enabled many of these concepts …