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  • © 2019

Advanced Methods for Geometric Modeling and Numerical Simulation

  • Gathers selected contributions on computer aided geometric design and isogeometric analysis

  • Presents theoretical and computational aspects of advanced geometric and numerical methods

  • Includes state-of-the-art surveys on prominent research topics in the field

Part of the book series: Springer INdAM Series (SINDAMS, volume 35)

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eBook USD 119.00
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  • ISBN: 978-3-030-27331-6
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  • Tax calculation will be finalised during checkout
Softcover Book USD 159.99
Price excludes VAT (USA)
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-ix
  2. Approximate Reconstructions of Perturbed Rational Planar Cubics

    • Michal Bizzarri, Miroslav Lávička, Jan Vršek
    Pages 23-41
  3. Quadrature Rules in the Isogeometric Galerkin Method: State of the Art and an Introduction to Weighted Quadrature

    • Francesco Calabrò, Gabriele Loli, Giancarlo Sangalli, Mattia Tani
    Pages 43-55
  4. Eigenvalue Isogeometric Approximations Based on B-Splines: Tools and Results

    • Sven-Erik Ekström, Stefano Serra-Capizzano
    Pages 57-76
  5. Lofting with Patchwork B-Splines

    • Nora Engleitner, Bert Jüttler
    Pages 77-98
  6. New Developments in Theory, Algorithms, and Applications for Pythagorean–Hodograph Curves

    • Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
    Pages 127-177
  7. Tchebycheffian B-Splines Revisited: An Introductory Exposition

    • Tom Lyche, Carla Manni, Hendrik Speleers
    Pages 179-216
  8. Template Mapping Using Adaptive Splines and Optimization of the Parameterization

    • Svajūnas Sajavičius, Bert Jüttler, Jaka Špeh
    Pages 217-238

About this book

This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.


Keywords

  • Computer Aided Geometric Design
  • Splines
  • Isogeometric Analysis
  • Applied Geometry
  • Approximation Theory
  • Algorithms

Editors and Affiliations

  • Department of Mathematics and Computer Science "U. Dini", University of Florence, Florence, Italy

    Carlotta Giannelli

  • Department of Mathematics, University of Rome Tor Vergata, Rome, Italy

    Hendrik Speleers

About the editors

Carlotta Giannelli is an Associate Professor of Numerical Analysis at the Department of Mathematics and Computer Science, University of Florence, Italy. She received her Ph.D. in Computer Science and Applications from the University of Florence in 2010. Her primary research interest is in computer aided geometric design and related application areas. She is the author of more than 40 peer-reviewed research publications.

Hendrik Speleers received his Ph.D. in Engineering (Numerical Analysis and Applied Mathematics) from the University of Leuven, Belgium in 2008. He is currently an Associate Professor of Numerical Analysis at the Department of Mathematics, University of Rome Tor Vergata, Italy. His main research interest is in the construction, analysis, and application of multivariate splines. He is the author of more than 60 peer-reviewed scientific papers.


Bibliographic Information

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-27331-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 159.99
Price excludes VAT (USA)
Hardcover Book USD 159.99
Price excludes VAT (USA)