Optimal Shape Design by Partial Spectral Data

DOI10.1137/130942498zbMath1328.49040arXiv1310.6098OpenAlexW1665445202MaRDI QIDQ3454465

Jun Zou, Yat Tin Chow, Keji Liu, Habib Ammari

Publication date: 25 November 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6098

zbMATH Keywords

optimal shape designNeumann-Poincaré operatorpolarization tensorplasmonicsholomorphic functional calculusFredholm eigenvaluesGauss-Newton optimization methodpulsed electrical capacitance tomography

Mathematics Subject Classification ID

Newton-type methods (49M15) Inverse problems for PDEs (35R30) Functional calculus for linear operators (47A60) Eigenvalue problems for linear operators (47A75) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45)

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Uses Software

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