✍ Scribed by Carlotta Giannelli, Hendrik Speleers
No coin nor oath required. For personal study only.
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.
Front Matter ....Pages i-ix
An Isogeometric Approach to Energetic BEM: Preliminary Results (Alessandra Aimi)....Pages 1-21
Approximate Reconstructions of Perturbed Rational Planar Cubics (Michal Bizzarri, Miroslav Lávička, Jan Vršek)....Pages 23-41
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
Eigenvalue Isogeometric Approximations Based on B-Splines: Tools and Results (Sven-Erik Ekström, Stefano Serra-Capizzano)....Pages 57-76
Lofting with Patchwork B-Splines (Nora Engleitner, Bert Jüttler)....Pages 77-98
A Study on Spline Quasi-interpolation Based Quadrature Rules for the Isogeometric Galerkin BEM (Antonella Falini, Tadej Kanduč)....Pages 99-125
New Developments in Theory, Algorithms, and Applications for Pythagorean–Hodograph Curves (Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini)....Pages 127-177
Tchebycheffian B-Splines Revisited: An Introductory Exposition (Tom Lyche, Carla Manni, Hendrik Speleers)....Pages 179-216
Template Mapping Using Adaptive Splines and Optimization of the Parameterization (Svajūnas Sajavičius, Bert Jüttler, Jaka Špeh)....Pages 217-238
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Math Applications in Computer Science; Computer-Aided Engineering (CAD, CAE) and Design
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