Advanced Methods for Geometric Modeling and Numerical Simulation

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.

1 A. Aimi, An Isogeometric Approach to Energetic BEM: Preliminary Results.- 2 M. Bizzarri at al., Approximate Reconstructions of Perturbed Rational Planar Cubics.- 3 F. Calabrò at al., Quadrature Rules in the Isogeometric Galerkin Method: State of the Art and an Introduction to Weighted Quadrature.- 4 S.-E. Ekström and S. Serra-Capizzano, Eigen value Isogeometric Approximations Based on B-Splines: Tools and Results.- 5 N. Engleitner and B. Juttler, Lofting with Patchwork B-Splines.- 6 A. Falini and T. Kandu, A Study on Spline Quasi-Interpolation Based Quadrature Rules for the Isogeometric Galerkin BEM.- 7 R. T. Farouki at al., New Developments in Theory, Algorithms, and Applications for Pythagorean–Hodograph Curves.- 8 T. Lyche et al., Tchebycheffian B-Splines Revisited: An Introductory Exposition.- 9 S. Sajavičius at al., Template Mapping Using Adaptive Splines and Optimization of the Parameterization.