Topology optimization with polygonal finite elements Finite element formulation For a convex polygon, the Laplace interpolant is defined as: Typical shape

Source URL: paulino.ce.gatech.edu

Consistent Shape Maps via Semidefinite Programming∗ Qi-Xing Huang and Leonidas Guibas Computer Science Department, Stanford University, Stanford, CA October 15, 2013 Abstract

Source URL: geometry.stanford.edu

• Operations research
• Mathematical optimization
• Matrix theory
• Real algebraic geometry
• Linear algebra
• Matrix
• Semidefinite programming
• Linear programming
• Convex function
• Eigenvalues and eigenvectors
• Distance matrix
• Matrix completion

P 3 Shape optimization for fluid-structure interaction (W. Ring, M. Ulbrich, E. Ullmann) → AO, NS, IS This project contributes to the advancement of the theory and the numerical solution of shape optimization problems

Source URL: igdk1754.ma.tum.de

A Sequel to Lighthill’s Early Work — Aerodynamic Inverse Design and Shape Optimization via Control Theory Antony Jameson1 1 Thomas

Source URL: www.cespr.fsu.edu

DELFT UNIVERSITY OF TECHNOLOGY REPORTI SOGEOMETRIC S HAPE O PTIMIZATION OF M AGNETIC D ENSITY S EPARATORS N GUYEN DANG M ANH , A NTON E VGRAFOV, J ENS G RAVESEN AND

Source URL: www.ewi.tudelft.nl

• Magnetostatics
• Physical quantities
• Magnet
• Magnetic ordering
• Shape optimization
• Ferromagnetism
• Calculus of variations
• Ferrofluid
• Physics
• Electromagnetism
• Magnetism

Hierarchical Shape Optimization Jean-Antoine Désidéri Foreword Context

Source URL: team.inria.fr

• Pareto efficiency
• Shape optimization
• Genetic algorithm
• Science
• Mathematics
• Mathematical optimization
• Multi-objective optimization
• Applied mathematics

Using the Inner-Distance for Classification of Articulated Shapes Haibin Ling David W. Jacobs Computer Science Department, University of Maryland, College Park {hbling, djacobs}@ umiacs.umd.edu

Source URL: www.dabi.temple.edu

• Computer vision
• Shape context
• Topology
• Mathematical optimization
• Metric geometry
• Cartesian coordinate system
• Dynamic programming
• Metric
• Distance
• Mathematics
• Geometry
• Elementary mathematics

SHAPE @ Connected Energy Service-oriented Home Automation Platform for increasing Energy efficiency Project objective: optimization of energy consumption in private households In the research project SHAPE, a distributed

Source URL: www.connected-living.org

• Construction
• Energy conservation
• Boilers
• Plumbing
• Water heating
• Home automation
• Zero-energy building
• District heating
• Architecture
• Technology
• Heating
• ventilating
• and air conditioning

Integer Point Sets Minimizing Average Pairwise ℓ1 Distance: What is the Optimal Shape of a Town? Erik D. Demaine∗ S´ andor P. Fekete†

Source URL: cccg.ca

• Operations research
• Optimal control
• Systems engineering
• Systems theory
• Systems science
• Mathematics
• Linear temporal logic
• Dynamic programming
• Equations
• Mathematical optimization

INTLAB References [1] M. Abulizi and P. Mahemuti. Interval Numbers and Interval Control System for Application. Journal of Xinjiang University (Science & Engineering, 22(2):165–190, 2005. http://scholar.ilib.cn/ abstra

Source URL: www.ti3.tu-harburg.de

• Operations research
• Mathematical optimization
• Computational science
• Computer arithmetic
• Interval arithmetic
• Global optimization
• Linear programming
• Shape optimization
• Interval
• Mathematics
• Applied mathematics
• Numerical analysis