A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking

DOI10.1137/20M1315993zbMath1481.35139OpenAlexW4205757053WikidataQ114074216 ScholiaQ114074216MaRDI QIDQ5022487

Ryan Vogt, Sven Leyffer, Todd S. Munson

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1137/20m1315993

zbMATH Keywords

Helmholtz equationPDE-constrained optimizationmixed-integer nonlinear optimizationelectromagnetic cloaking

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with control and optimization (35Q93)

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Uses Software

• SCIP
• PETSc
• FEniCS
• Bonmin
• MINOTAUR
• TAO

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