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A primal–dual penalty-interior-point method for solving the reactive optimal power flow problem with discrete control variables
(2022-06-01)
The Optimal Reactive Power Flow (ORPF) problem has been used as an important computational tool for power system planning and operation. Its mixed-discrete version (DORPF) is formulated as a non-convex, non-linear optimization ...
Three-dimensional finite element analysis of MHD duct flow by the penalty function formulation
(Institute of Electrical and Electronics Engineers (IEEE), 2001-09-01)
A numerical scheme based on the Finite Element Method (FEM) is presented to calculate the full solution of a three-dimensional steady magnetohydrodynamic (MHD) flow with moderately high Hartmann numbers and interaction ...
Three-dimensional finite element analysis of MHD duct flow by the penalty function formulation
(Institute of Electrical and Electronics Engineers (IEEE), 2001-09-01)
A numerical scheme based on the Finite Element Method (FEM) is presented to calculate the full solution of a three-dimensional steady magnetohydrodynamic (MHD) flow with moderately high Hartmann numbers and interaction ...
The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
(Taylor & Francis Ltd, 2012-12)
Augmented Lagrangian methods are effective tools for solving large-scale nonlinear programming problems. At each outer iteration, a minimization subproblem with simple constraints, whose objective function depends on updated ...
The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
(TAYLOR & FRANCIS LTDABINGDON, 2012)
Augmented Lagrangian methods are effective tools for solving large-scale nonlinear programming problems. At each outer iteration, a minimization subproblem with simple constraints, whose objective function depends on updated ...
Convergence Results of an Augmented Lagrangian Method Using the Exponential Penalty Function
(Springer/Plenum Publishers, 2016-01)
In the present research, an Augmented Lagrangian method with the use of the exponential penalty function for solving inequality constraints problems is considered. Global convergence is proved using the constant positive ...
The penalty method and beam evolution equations
(Pontificia Universidad Católica del PerúPE, 2017)
A STUDY OF PENALTY FORMULATIONS USED IN THE NUMERICAL APPROXIMATION OF A RADIALLY SYMMETRIC ELASTICITY PROBLEM
(MATHEMATICAL SCIENCE PUBL, 2008)
We consider a class of two-dimensional problems in classical linear elasticity for which material overlapping occurs in the absence of singularities. Of course, material overlapping is not physically realistic, and one ...
Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization
(SPRINGERNEW YORK, 2012)
At each outer iteration of standard Augmented Lagrangian methods one tries to solve a box-constrained optimization problem with some prescribed tolerance. In the continuous world, using exact arithmetic, this subproblem ...