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Geometric challenges in isogeometric analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric challenges in isogeometric analysisedited by Carla Manni, Hendrik Speleers.
other author:	Manni, Carla.
Published:	Cham :Springer International Publishing :2022.
Description:	ix, 384 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Spline theoryCongresses.
Online resource:	https://doi.org/10.1007/978-3-030-92313-6
ISBN:	9783030923136$q(electronic bk.)

Geometric challenges in isogeometric analysis
Geometric challenges in isogeometric analysis[electronic resource] /edited by Carla Manni, Hendrik Speleers. - Cham :Springer International Publishing :2022. - ix, 384 p. :ill. (chiefly color), digital ;24 cm. - Springer INdAM series,v. 492281-5198 ;. - Springer INdAM series ;v.6..

1 Carolina Vittoria Beccari and Hartmut Prautzsch, Quadrilateral Orbifold Splines -- 2 Timothy Boafo-Adade et al., B-Symmetric Univariate Splines and Euler Numbers -- 3 Nora Engleitner and Bert Jüttler, DPB-Splines: The Decoupled Basis of Patchwork Splines -- 4 Antonella Falini et al., A Collocation IGA-BEM for 3D Potential Problems on Unbounded Domains -- 5 Tom Lyche et al., Simplex-Splines on the Clough-Tocher Split with Arbitrary Smoothness -- 6 Florian Martin and Ulrich Reif, Trimmed Spline Surfaces with Accurate Boundary Control -- 7 Benjamin Marussig, Fast Formation and Assembly of Isogeometric Galerkin Matrices for Trimmed Patches -- 8 Jörg Peters and Kęstutis Karčiauskas, Subdivision and G-Spline Hybrid Constructions for High-Quality Geometric and Analysis-Suitable Surfaces -- 9 Malcolm A. Sabin, Meshing as the Choice of Basis Functions for Finite Element Analysis -- 10 Vibeke Skytt and Tor Dokken, Scattered Data Approximation by LR B-Spline Surfaces: A Study on Refinement Strategies for Efficient Approximation -- 11 Roel Tielen et al., A Block ILUT Smoother for Multipatch Geometries in Isogeometric Analysis -- 12 Nelly Villamizar et al., Completeness Characterization of Type-I Box Splines -- 13 Xiaodong Wei, THU-Splines: Highly Localized Refinement on Smooth Unstructured Splines -- 14 Yuxuan Yu et al., HexGen and Hex2Spline: Polycube-Based Hexahedral Mesh Generation and Spline Modeling for Isogeometric Analysis Applications in LS-DYNA -- 15 Mehrdad Zareh and Xiaoping Qian, C1 Triangular Isogeometric Analysis of the von Karman Equations.

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.

ISBN: 9783030923136$q(electronic bk.)

Standard No.: 10.1007/978-3-030-92313-6doiSubjects--Topical Terms:

823452
Spline theory
--Congresses.

LC Class. No.: QA224 / .G46 2022

Dewey Class. No.: 511.4223

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505 0 $a 1 Carolina Vittoria Beccari and Hartmut Prautzsch, Quadrilateral Orbifold Splines -- 2 Timothy Boafo-Adade et al., B-Symmetric Univariate Splines and Euler Numbers -- 3 Nora Engleitner and Bert Jüttler, DPB-Splines: The Decoupled Basis of Patchwork Splines -- 4 Antonella Falini et al., A Collocation IGA-BEM for 3D Potential Problems on Unbounded Domains -- 5 Tom Lyche et al., Simplex-Splines on the Clough-Tocher Split with Arbitrary Smoothness -- 6 Florian Martin and Ulrich Reif, Trimmed Spline Surfaces with Accurate Boundary Control -- 7 Benjamin Marussig, Fast Formation and Assembly of Isogeometric Galerkin Matrices for Trimmed Patches -- 8 Jörg Peters and Kęstutis Karčiauskas, Subdivision and G-Spline Hybrid Constructions for High-Quality Geometric and Analysis-Suitable Surfaces -- 9 Malcolm A. Sabin, Meshing as the Choice of Basis Functions for Finite Element Analysis -- 10 Vibeke Skytt and Tor Dokken, Scattered Data Approximation by LR B-Spline Surfaces: A Study on Refinement Strategies for Efficient Approximation -- 11 Roel Tielen et al., A Block ILUT Smoother for Multipatch Geometries in Isogeometric Analysis -- 12 Nelly Villamizar et al., Completeness Characterization of Type-I Box Splines -- 13 Xiaodong Wei, THU-Splines: Highly Localized Refinement on Smooth Unstructured Splines -- 14 Yuxuan Yu et al., HexGen and Hex2Spline: Polycube-Based Hexahedral Mesh Generation and Spline Modeling for Isogeometric Analysis Applications in LS-DYNA -- 15 Mehrdad Zareh and Xiaoping Qian, C1 Triangular Isogeometric Analysis of the von Karman Equations.
520 $a 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.
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650 0 $a Isogeometric analysis $v Congresses. $3 732726
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Mathematical Applications in Computer Science. $3 530811
650 2 4 $a Algorithms. $3 184661
700 1 $a Manni, Carla. $3 933927
700 1 $a Speleers, Hendrik. $3 852203
710 2 $a SpringerLink (Online service) $3 273601
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856 4 0 $u https://doi.org/10.1007/978-3-030-92313-6
950 $a Mathematics and Statistics (SpringerNature-11649)