LEADER 04901nam 22006855 450 001 996485662303316 005 20240221131816.0 010 $a3-030-92313-4 024 7 $a10.1007/978-3-030-92313-6 035 $a(MiAaPQ)EBC7070997 035 $a(Au-PeEL)EBL7070997 035 $a(CKB)24360657500041 035 $a(DE-He213)978-3-030-92313-6 035 $a(PPN)264192931 035 $a(EXLCZ)9924360657500041 100 $a20220808d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric Challenges in Isogeometric Analysis$b[electronic resource] /$fedited by Carla Manni, Hendrik Speleers 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (386 pages) 225 1 $aSpringer INdAM Series,$x2281-5198 ;$v49 311 08$aPrint version: Manni, Carla Geometric Challenges in Isogeometric Analysis Cham : Springer International Publishing AG,c2022 9783030923129 327 $a1 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 K?stutis Kar?iauskas, 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. 330 $aThis book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. 410 0$aSpringer INdAM Series,$x2281-5198 ;$v49 606 $aMathematics$xData processing 606 $aMathematics 606 $aComputer science$xMathematics 606 $aAlgorithms 606 $aComputational Mathematics and Numerical Analysis 606 $aApplications of Mathematics 606 $aMathematical Applications in Computer Science 606 $aAlgorithms 606 $aGeometría combinatòria$2thub 608 $aCongressos$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics$xData processing. 615 0$aMathematics. 615 0$aComputer science$xMathematics. 615 0$aAlgorithms. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aApplications of Mathematics. 615 24$aMathematical Applications in Computer Science. 615 24$aAlgorithms. 615 7$aGeometría combinatòria 676 $a511.42 702 $aManni$b Carla 702 $aSpeleers$b Hendrik 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996485662303316 996 $aGeometric challenges in isogeometric analysis$93362814 997 $aUNISA