Numeri al Approximation of an SQP - type Method

NCP Function-Based Dual Weighted Residual Error Estimators for Signorini's Problem

In this paper, we onsider goal-oriented adaptive nite element methods for Signorini's problem. The basis is a mixed formulation, whi h is reformulated as nonlinear variational equality using a nonlinear omplementarity (NCP) fun tion. For a general dis retization, we derive error identities with respe t to a possible nonlinear quantity of interest in the displa ement as well as the onta t for es...

Approximation and Complexity in Numeri al Optimization : Continuous and Dis reteProblems (

Shape Optimization with General Objective Func- Tions Using Partial Relaxation

The homogenization method for topology optimization in stru tural design is by now well established (see [2℄, [3℄, [7℄, [8℄, [15℄, [16℄, [17℄, [18℄ and referen es therein). However, the theory is restri ted to omplian e or eigenfrequen y optimization (in the single or multiple loadings ase). The problem is that optimal mi rostru tures are unknown for general obje tive fun tions. Of ourse, in nu...

An inexact alternating direction method with SQP regularization for the structured variational inequalities

In this paper, we propose an inexact alternating direction method with square quadratic proximal  (SQP) regularization for  the structured variational inequalities. The predictor is obtained via solving SQP system  approximately  under significantly  relaxed accuracy criterion  and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriat...

Using Modified IPSO-SQP Algorithm to Solve Nonlinear Time Optimal Bang-Bang Control Problem

In this paper, an intelligent-gradient based algorithm is proposed to solve time optimal bang-bang control problem. The proposed algorithm is a combination of an intelligent algorithm called improved particle swarm optimization algorithm (IPSO) in the first stage of optimization process together with a gradient-based algorithm called successive quadratic programming method (SQP) in the second s...