Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets
DOI10.1007/978-3-319-06404-8_12zbMath1325.65093OpenAlexW79078916MaRDI QIDQ2950608
M. Jaraczewski, Marco Rozgić, Marcus Stiemer
Publication date: 9 October 2015
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-06404-8_12
constrained optimizationnumerical examplesinterior point methodRiesz potentialminimal discrete Riesz energydistributing points on manifolds
Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Interior-point methods (90C51) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Uses Software
Cites Work
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- Computation of capacity via quadratic programming
- Computation of weighted capacity
- On means of distances on the surface of a sphere (lower bounds)
- On means of distances on the surface of a sphere. II: Upper bounds
- Distributing many points on a sphere
- Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
- Minimal discrete energy on the sphere
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Extremalpunkte und konforme Abbildung
- Ahlfors-David regular sets and bilipschitz maps
- Support of the logarithmic equilibrium measure on sets of revolution in R3
- Paraboloidal crystals
- Numerical Optimization
- Asymptotics for minimal discrete energy on the sphere
- Trust Region Methods
- Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence
- Line Search Filter Methods for Nonlinear Programming: Local Convergence
- About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case
- The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
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