Michel Bercovier, Tanya Matskewich

Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes (eBook, PDF)

• Format: PDF

Produktbeschreibung

With a foreword by T.J.R. Hughes Represents a step forward in Isogeometric Analysis and its applications

Provides a bridge between Finite Element Methods and Isogeometric Analysis

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 192
• Erscheinungstermin: 3. Oktober 2017
• Englisch
• ISBN-13: 9783319638416
• Artikelnr.: 53058584

Inhaltsangabe

Introduction.- G1-smooth Surfaces.- C1 smooth surfaces.- MDSs: quadrilateral meshes.- Global MDSs.- MDSs for a smooth boundary.- Computational examples.- Conclusions.- Two-patch geometry and the G1 construction.- Illustrations for the thin plate problem.- Mixed MDSs of degrees 4 and 5.- Technical lemmas.- Minimisation problems.- G1 is equivalent to C1.- Bibliography.- References.

Rezensionen

"This well-written monograph provides a way to solve interpolation and partial differential problems for arbitrary structures of quadrilateral meshes. The solution has a linear form, which makes it relatively simple, fast, and stable. The whole theory is illustrated by numerous examples and instructive figures. This book is an important contribution to computer-aided design over unstructured meshes." (Manfred Tasche, Mathematical Reviews, June, 2018)