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Anàlisi combinatòria --- Àlgebra --- Anàlisi matemàtica --- Combinatòria (Matemàtica) --- Geometria combinatòria --- Matroides --- Nombres de Catalan (Matemàtica) --- Optimització combinatòria --- Permutacions --- Teoria combinatòria de conjunts --- Teoria de grafs --- Teoria de Ramsey --- Programació per restriccions --- Combinatorial analysis. --- Combinatorics --- Algebra --- Mathematical analysis

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Combinatorial analysis. --- Combinatorial analysis --- Data processing. --- Combinatorics --- Algebra --- Mathematical analysis --- Matemàtica discreta --- Anàlisi combinatòria --- Àlgebra --- Anàlisi matemàtica --- Combinatòria (Matemàtica) --- Geometria combinatòria --- Matroides --- Nombres de Catalan (Matemàtica) --- Optimització combinatòria --- Permutacions --- Teoria combinatòria de conjunts --- Teoria de grafs --- Teoria de Ramsey --- Programació per restriccions --- Matemàtica computacional --- Processament de dades (Matemàtica) --- Teoria de la computació

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This book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives 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. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Spline theory --- Data processing. --- Spline functions --- Approximation theory --- Interpolation --- Geometría combinatòria --- Anàlisi combinatòria --- Geometries finites --- Geometria discreta --- Matroides --- Mathematics --- Mathematics. --- Computer science --- Algorithms. --- Computational Mathematics and Numerical Analysis. --- Applications of Mathematics. --- Mathematical Applications in Computer Science. --- Algorism --- Algebra --- Arithmetic --- Computer mathematics --- Electronic data processing --- Math --- Science --- Foundations