Mathematical and numerical modelling of piezoelectric sensors

DOI10.1051/m2an/2011070zbMath1279.78013OpenAlexW2132144080MaRDI QIDQ2842469

Sebastien Imperiale, Patrick Joly

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011070

zbMATH Keywords

piezoelectricityultrasonic sensorquasi-state approximation

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Wave equation (35L05) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Theoretical approximation in context of PDEs (35A35) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55)

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Existence, uniqueness and regularity of piezoelectric partial differential equations ⋮ Modeling of smart materials with thermal effects: Dynamic and quasi-static evolution ⋮ Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section ⋮ Reciprocity identities for quasi-static piezoelectric transducer models: application to cavity identification using iterated excitations and a topological sensitivity approach ⋮ Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid ⋮ On well-posedness for some thermo-piezoelectric coupling models ⋮ Dynamical one-dimensional models of passive piezoelectric sensors ⋮ Symmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior

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