Advanced Methods for Geometric Modeling and Numerical Simulation

This book presents selected research from a workshop on geometric design and numerical simulation, highlighting recent advancements and applications in the field.

This book compiles selected contributions from the INdAM Workshop DREAMS, which took place in Rome, Italy, from January 22 to 26, 2018. It focuses on cutting-edge research in computer-aided geometric design and isogeometric analysis, showcasing innovative curve and surface constructions along with spline models. A particular emphasis is placed on emerging adaptive spline constructions, fundamental spline theory, and the algorithms associated with these mathematical frameworks.

In addition to discussing the theoretical aspects, the book also delves into practical applications of isogeometric methods. Topics include efficient quadrature rules and spectral analysis tailored for isogeometric B-spline discretizations. This comprehensive approach allows readers to grasp both the theoretical underpinnings and the practical implications of these advanced methods.

Advanced Methods for Geometric Modeling and Numerical Simulation is designed to cater to the interests of researchers and graduate students alike. By providing insights into the latest developments in the field, the book serves as a valuable resource for those looking to deepen their understanding of geometric modeling and numerical simulation techniques.