Transfinite Interpolations and Eulerian/Lagrangian Dynamics (Advances in Design and Control)

Garon Delfour

ISBN 10: 1611976944 / ISBN 13: 9781611976946

Published by SIAM - Society for Industrial and Applied Mathematics, 2022

About this Item

2022. hardcover. . . . . .

Seller Inventory # V9781611976946

Bibliographic Details

• Title: Transfinite Interpolations and Eulerian/Lagrangian Dynamics (Advances in Design and Control)
• Publisher: SIAM - Society for Industrial and Applied Mathematics
• Publication Date: 2022
• Language: English
• ISBN 10: 1611976944
• ISBN 13: 9781611976946
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This book introduces transfinite interpolation as a generalization of interpolation of data prescribed at a finite number of points to data prescribed on a geometrically structured set, such as a piece of curve, surface, or submanifold. The time-independent theory is readily extended to a moving/deforming data set whose dynamics is specified in a Eulerian or Lagrangian framework. The resulting innovative tools cover a very broad spectrum of applications in fluid mechanics, geometric optimization, and imaging. The authors chose to focus on the dynamical mesh updating in fluid mechanics and the construction of velocity fields from the boundary expression of the shape derivative. Transfinite Interpolations and Eulerian/Lagrangian Dynamics is a self-contained graduate-level text that integrates theory, applications, numerical approximations, and computational techniques. It applies transfinite interpolation methods to finite element mesh adaptation and ALE fluid-structure interaction. Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.

About the Author

André Garon is a full professor in the Department of Mechanical Engineering at Polytechnique Montréal. He is the author or coauthor of nearly 110 papers and has served on the Natural Sciences and Engineering Research Council of Canada (NSERC) granting committee. In 1999, he was awarded the Poly 1873 prize from Polytechnique Montréal for his outstanding research achievements in the development of a ventricular assist device (LVAD) in collaboration with the Montréal Heart Institute. His areas of research include transfinite interpolation methods, time integration methods, finite element approximation of partial differential equations, adaptive mesh adaptation, and fluid-structure interaction modelling. Michel C. Delfour is a professor of mathematics and statistics at the University of Montréal in Canada. He is a Fellow of the Royal Society of Canada (Academy of Sciences) and a former president and Fellow of the Canadian Mathematical Society. He is a SIAM Fellow, a former Guggenheim Fellow, and a former Killam Fellow. His areas of research are shape and topological optimal design, analysis and control of delay and distributed parameter systems, control and stabilization of large flexible space structures, numerical methods in differential equations and optimization, and transfinite interpolation.