inverse parameter identification – Optimization Online

Modelling and Analysis of an Inverse Parameter Identification Problem in Piezoelectricity

Published: 2026/02/23

Infinite Dimensional Optimization, Nonlinear Systems and Least-Squares, Systems governed by Differential Equations Optimization adjoint PDEs, existence and uniqueness, improved regularity, inverse parameter identification, operator analysis, piezoelectricity

Piezoelectric material behavior is mathematically described by coupled hyperbolic-elliptic partial differential equations (PDEs) governing mechanical displacement and electrical potential. This paper presents advancements in the theory of identifying material parameters in piezoelectric PDEs. We focus on modeling and analyzing the inverse problem assuming matrix-valued Sobolev-Bochner parameters to encompass a time and space-dependent setting and thus … Read more

Sensitivity-informed identification of temperature-dependent piezoelectric material parameters

Published: 2026/02/13, Updated: 2026/03/02

Applications - Science and Engineering, Control Applications, Nonlinear Optimization inverse parameter identification, piezoelectricity, regularized Quasi-Newton, sensitivity analysis

An accurate characterization of temperature-dependent material parameters of piezoceramics is crucial for the design and simulation of reliable sensors and actuators. This characterization is typically formulated as an ill-posed inverse problem, which is challenging to solve not only because of its ill-posedness, but also because of parameter sensitivities, which vary by several orders of magnitude … Read more