Geometric Challenges in Isogeometric Analysis

The book "Geometric Challenges in Isogeometric Analysis" collects selected contributions from the INdAM Workshop on Geometric Challenges in Isogeometric Analysis, held in Rome, Italy in January 2020. It covers various research topics related to splines and their efficient use in isogeometric methods for differential problem discretization on complex and trimmed geometries. The book is open access and available online.

Format: Paperback / softback
Length: 384 pages
Publication date: 10 August 2023
Publisher: Springer Nature Switzerland AG

This book presents a collection of selected contributions from the INdAM Workshop Geometric Challenges in Isogeometric Analysis, held in Rome, Italy, on January 27-31, 2020. The workshop aimed to provide an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. The book covers a wide range of research topics, including high-quality spline surfaces on complex and trimmed geometries, construction and analysis of smooth spline spaces on unstructured meshes, numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software.

Chapter 10 of the book is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. This chapter provides an overview of the recent developments in spline-based isogeometric analysis, with a focus on high-quality spline surfaces on complex and trimmed geometries. It discusses the construction and analysis of smooth spline spaces on unstructured meshes, as well as numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes. The chapter also highlights meshing strategies and software for isogeometric analysis.

Overall, this book is a valuable resource for researchers and graduate students working in the areas of approximation theory, geometric design, and numerical simulation. It provides a comprehensive overview of the latest research on splines and their applications in isogeometric methods, and it offers insights into the challenges and opportunities in this field.

Dimension: 235 x 155 (mm)
ISBN-13: 9783030923150
Edition number: 1st ed. 2022