Search Results - Numerical methods for mathematical programming, optimization and variational techniques

Review of distributed generation (DG) system planning and optimisation techniques: Comparison of numerical and mathematical modelling methods by Theo, Wai Lip, Lim, Jeng Shiun, Ho, Wai Shin, Hashim, Haslenda, Lee, Chew Tin

“…An overview of numerical and mathematical modelling-based distributed generation (DG…”
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Parametric structural shape & topology optimization with a variational distance-regularized level set method by Jiang, Long, Chen, Shikui

“… The SDF property is highly preferred in classical level set methods to maintain the numerical stability during the topology optimization process and provide a metric for the distance-based…”
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Differential variational inequalities by Pang, Jong-Shi, Stewart, David E.

“…This paper introduces and studies the class of differential variational inequalities (DVIs…”
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A study on the convergence of variational iteration method by Odibat, Zaid M.

“…Variational iteration method has been widely used to handle linear and nonlinear models…”
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Nonconvex nonsmooth optimization via convex–nonconvex majorization–minimization by Lanza, A., Morigi, S., Selesnick, I., Sgallari, F.

“… We present a majorization–minimization approach based on a novel convex–nonconvex upper bounding strategy for the solution of a certain class of nonconvex nonsmooth optimization problems…”
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Solutions of singular IVPs of Lane–Emden type by the variational iteration method by YILDINM, Ahmet, OZIS, Turgut

“…In this paper, approximate-exact solutions of a class of Lane–Emden type singular IVPs problems, by the variational iteration method, are presented…”
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Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations by Tian, Yu, Ge, Weigao

“…–Liouville impulsive problem. By applying a new approach via critical point theory and variational methods, the existence results of positive solutions are obtained…”
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Shape-topology optimization for Navier–Stokes problem using variational level set method by Duan, Xian-Bao, Ma, Yi-Chen, Zhang, Rui

“…We consider the shape-topology optimization of the Navier–Stokes problem. A new algorithm is proposed based on the variational level set method…”
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Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems by Fernández, Damián, Solodov, Mikhail

“…The stabilized version of the sequential quadratic programming algorithm (sSQP) had been developed in order to achieve fast convergence despite possible…”
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An optimal variational iteration method by Turkyilmazoglu, M.

“…The variational iteration method is studied in the present work. The classical variational iteration method is improved and extended by introducing a new concept of a convergence accelerating parameter…”
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On smoothing, regularization, and averaging in stochastic approximation methods for stochastic variational inequality problems by Yousefian, Farzad, Nedić, Angelia, Shanbhag, Uday V.

“…Traditionally, most stochastic approximation (SA) schemes for stochastic variational inequality (SVI…”
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Smoothing methods for nonsmooth, nonconvex minimization by Chen, Xiaojun

“… In this paper, we focus on smoothing methods for solving such optimization problems, which use the structure of the minimization problems and composition of smoothing functions for the plus function ( x…”
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A variational iteration method for solving Troesch’s problem by Chang, Shih-Hsiang

“…Troesch’s problem is an inherently unstable two-point boundary value problem. A new and efficient algorithm based on the variational iteration method and variable transformation is proposed to solve Troesch’s problem…”
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Solving variational inequalities with monotone operators on domains given by Linear Minimization Oracles by Juditsky, Anatoli, Nemirovski, Arkadi

“…The standard algorithms for solving large-scale convex–concave saddle point problems, or, more generally, variational inequalities with monotone operators…”
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Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy by Li, Bin, Peco, Christian, Millán, Daniel, Arias, Irene, Arroyo, Marino

“… Here, we propose a variational phase‐field model for strongly anisotropic fracture, which resorts to the extended Cahn…”
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Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints by MAINGE, Paul-Emile

“… The proposed method combines two strategies: projected subgradient techniques and viscosity-type approximations…”
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Critical multipliers in variational systems via second-order generalized differentiation by Mordukhovich, Boris S., Sarabi, M. Ebrahim

“…In this paper we introduce the notions of critical and noncritical multipliers for variational systems and extend to a general framework the corresponding…”
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Relaxed Two-Step Inertial Tseng’s Extragradient Method for Nonmonotone Variational Inequalities by Viet Thong, Duong, Ky Anh, Pham, Tien Dung, Vu

“…This work introduces a novel inertial projection method for solving the variational inequality (VI…”
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On a sub–supersolution method for variational inequalities with Leray–Lions operators in variable exponent spaces by Le, Vy Khoi

“…In this paper, we consider a sub–supersolution method for variational inequalities with Leray…”
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Relative Pareto minimizers for multiobjective problems: existence and optimality conditions by Bao, Truong Q., Mordukhovich, Boris S.

“… Using advanced tools of variational analysis and generalized differentiation, we establish the existence of relative Pareto minimizers for general multiobjective problems under a refined version…”
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