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.

Autorentext

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 scientic papers.

Inhalt
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 PythagoreanHodograph Curves.- 8 T. Lyche et al., Tchebychean B-Splines Revisited: An Introductory Exposition.- 9 S. Sajaviius at al., Template Mapping Using Adaptive Splines and Optimization of the Parameterization.