63 research outputs found
A smoothing projected Newton-type algorithm for semi-infinite programming
2008-2009 > Academic research: refereed > Publication in refereed journa
Computing multiple solutions of topology optimization problems
Topology optimization problems often support multiple local minima due to a
lack of convexity. Typically, gradient-based techniques combined with
continuation in model parameters are used to promote convergence to more
optimal solutions; however, these methods can fail even in the simplest cases.
In this paper, we present an algorithm to perform a systematic exploratory
search for the solutions of the optimization problem via second-order methods
without a good initial guess. The algorithm combines the techniques of
deflation, barrier methods and primal-dual active set solvers in a novel way.
We demonstrate this approach on several numerical examples, observe
mesh-independence in certain cases and show that multiple distinct local minima
can be recovered
Optimization and Applications
Proceedings of a workshop devoted to optimization problems, their theory and resolution, and above all applications of them. The topics covered existence and stability of solutions; design, analysis, development and implementation of algorithms; applications in mechanics, telecommunications, medicine, operations research
International Conference on Continuous Optimization (ICCOPT) 2019 Conference Book
The Sixth International Conference on Continuous Optimization took place on the campus of the Technical University of Berlin, August 3-8, 2019. The ICCOPT is a flagship conference of the Mathematical Optimization Society (MOS), organized every three years. ICCOPT 2019 was hosted by the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin. It included a Summer School and a Conference with a series of plenary and semi-plenary talks, organized and contributed sessions, and poster sessions.
This book comprises the full conference program. It contains, in particular, the scientific program in survey style as well as with all details, and information on the social program, the venue, special meetings, and more
Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems
The present article presents a summarizing view at differential-algebraic
equations (DAEs) and analyzes how new application fields and corresponding
mathematical models lead to innovations both in theory and in numerical
analysis for this problem class. Recent numerical methods for nonsmooth
dynamical systems subject to unilateral contact and friction illustrate the
topicality of this development.Comment: Preprint of Book Chapte
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