On shape optimization for an evolution coupled system

DOI10.1007/s00245-011-9148-7zbMath1242.49089OpenAlexW2009670733MaRDI QIDQ434252

Günter R. Leugering, Gustavo Perla Menzala, Antonio André Novotny, Jan Sokolowski

Publication date: 10 July 2012

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-011-9148-7

zbMATH Keywords

piezoelectricityshape sensitivity analysiselectromechanical interaction

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

On numerical study of constrained coupled shape optimization problems based on a new shape derivative method ⋮ Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators ⋮ Shape derivatives of boundary integral operators in electromagnetic scattering. II: Application to scattering by a homogeneous dielectric obstacle ⋮ Cloaking via impedance boundary condition for the 2-D Helmholtz equation ⋮ Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions

Cites Work

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• On the effect of self-penalization of piezoelectric composites in topology optimization
• The elastic energy-momentum tensor
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• Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids
• Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media
• Existence, Uniqueness, and Regularity Results for Piezoelectric Systems

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