Computation of capacity via quadratic programming

DOI10.1016/j.matpur.2010.03.004zbMath1201.65111OpenAlexW1998749229MaRDI QIDQ710548

Thomas Ransford, Jérémie Rostand, Quentin Rajon

Publication date: 19 October 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.03.004

zbMATH Keywords

quadratic programmingenergy minimizationnumerical examplesconvergence accelerationlogarithmic capacityhyperbolic capacityRiesz capacity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Numerical methods based on nonlinear programming (49M37) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Existence theories for optimal control problems involving partial differential equations (49J20) Potentials and capacities on other spaces (31C15)

Related Items (5)

Potential theory and quadratic programming ⋮ Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets ⋮ Computation of logarithmic capacity ⋮ Capacity and covering numbers ⋮ Computation of weighted capacity

Uses Software

• DCUHRE
• LBNL

Cites Work

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• Computation of capacity
• Algorithm 698: DCUHRE
• Computing Logarithmic Capacity with Linear Programming
• Practical Extrapolation Methods
• Green's Functions for Multiply Connected Domains via Conformal Mapping
• Méthode des points extrémaux de résolution du problème de Dirichlet dans l'espace

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