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A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls

  • Published:2021-01 Issue:3 Volume:43 Page:A2047-A2078
  • ISSN:1064-8275
  • Container-title:SIAM Journal on Scientific Computing
  • language:en
  • Short-container-title:SIAM J. Sci. Comput.

Author:

Birgin E. G.ORCID,Laurain A.ORCID,Massambone R.,Santana A. G.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bounds on the Optimal Radius When Covering a Set with Minimum Radius Identical Disks;Mathematics of Operations Research;2023-09-12

2. Sensitivity analysis and tailored design of minimization diagrams;Mathematics of Computation;2023-05-12

3. Algorithms for constructing suboptimal coverings of plane figures with disks in the class of regular lattices;Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta;2023-05

4. Optimization of the First Dirichlet Laplacian Eigenvalue with Respect to a Union of Balls;The Journal of Geometric Analysis;2023-04-04

5. A Shape-Newton Approach to the Problem of Covering with Identical Balls;SIAM Journal on Scientific Computing;2022-04
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