This innovative book introduces finite and transfinite interpolation methods at a general level in a unifying mathematical style before covering dynamical interpolation methods, which emphasize the underlying Eulerian/Lagrangian dynamics.
Transfinite Interpolations and Eulerian/Lagrangian Dynamics:
Considers the support of the data set as a geometrically structured set as opposed to an unstructured cloud of points.
Is a self-contained graduate-level text, integrating theory, applications, numerical approximations, and computational techniques.
Tackles transfinite interpolation methods applied to finite element meshes adaptation and ALE fluid-structure interaction and to the construction of velocity fields from the boundary expression of shape derivatives.
Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.
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978-1-61197-694-6 (9781611976946)
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Schweitzer Klassifikation
Andre Garon is a full professor in the Department of Mechanical Engineering at Polytechnique Montreal. 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. He is the author or coauthor of about 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 Polytechnique Montreal for his outstanding research achievements in the development of a ventricular assist device (LVAD) in collaboration with the Montreal Heart Institute.
Michel C. Delfour is a Professor of Mathematics and Statistics at the University of Montreal in Canada. He is a Fellow of the Royal Society of Canada (Academy of Sciences), a former president and Fellow of the Canadian Mathematical Society. He is SIAM Fellow, and former Guggenheim and 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.
