This book explores the crucial role of inverse problems across various fields of applied science and technology. By examining physical phenomena governed by mathematical physics, it addresses the challenge of determining unknown parameters and developing non-destructive methods for systems of solid and structural mechanics. It delves into the inherent mathematical complexities of inverse problems and presents innovative strategies for overcoming these issues. Aimed at doctoral students and researchers in civil and mechanical engineering, mathematical physics, and applied mathematics, the book provides a solid theoretical foundation and equips readers with the necessary mathematical and computational tools to tackle diverse inverse problems.
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Alexandre Kawano earned a PhD in Engineering from Yokohama National University, Japan, and a PhD in Applied Mathematics from the Institute of Mathematics and Statistics at University of São Paulo, Brazil. He serves as associate professor at the Department of Mechatronics Engineering at USP. His research interests focus on Mathematical Inverse Problems applied to structural engineering. In particular, he is concerned with inverse problems involving combination of structural elements such as rods, beams and plates.
Antonino Morassi is full professor of Mechanics of Solids and Structures at the University of Udine, Italy. He serves as associate editor of the Journal of Vibration and Control. His most recent research interests concern the modelling of complex vibrating systems, such as nanobeams and spider orb-webs, and the identification of their mechanical properties by dynamic non-destructive measurements.
This book explores the crucial role of inverse problems across various fields of applied science and technology. By examining physical phenomena governed by mathematical physics, it addresses the challenge of determining unknown parameters and developing non-destructive methods for systems of solid and structural mechanics. It delves into the inherent mathematical complexities of inverse problems and presents innovative strategies for overcoming these issues. Aimed at doctoral students and researchers in civil and mechanical engineering, mathematical physics, and applied mathematics, the book provides a solid theoretical foundation and equips readers with the necessary mathematical and computational tools to tackle diverse inverse problems.
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