Spectral and high order methods for partial differential equations ICOSAHOM 2016 : selected papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil /
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| Meeting name: | International Conference on Spectral and High Order Methods (11th : 2016 : Rio de Janeiro, Brazil) |
|---|---|
| Imprint: | Cham : Springer, 2017. |
| Description: | 1 online resource (681 pages) |
| Language: | English |
| Series: | Lecture Notes in Computational Science and Engineering ; v. 119 Lecture notes in computational science and engineering ; 119. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11454957 |
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| 111 | 2 | |a International Conference on Spectral and High Order Methods |n (11th : |d 2016 : |c Rio de Janeiro, Brazil) | |
| 245 | 1 | 0 | |a Spectral and high order methods for partial differential equations ICOSAHOM 2016 : |b selected papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil / |c Marco L. Bittencourt, Ney A. Dumont, Jan S. Hesthaven, editors. |
| 260 | |a Cham : |b Springer, |c 2017. | ||
| 300 | |a 1 online resource (681 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Computational Science and Engineering ; |v v. 119 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface -- Contents -- Part I Invited Papers -- hp-Version Discontinuous Galerkin Approximations of the Elastodynamics Equation -- 1 Introduction -- 2 Problem Statement and its hp-Version Discontinuous Galerkin Approximation -- 2.1 Mesh, Trace Operators, and Discrete Spaces -- 2.2 Semi-Discrete and Fully-Discrete Formulations -- 3 Stability of the Semi-Discrete Formulation -- 4 Error Analysis of the Semi-Discrete Formulation -- 4.1 Error Estimates in the Energy Norm -- 4.2 Error Estimates in the L2 Norm -- 5 Numerical Results -- References | |
| 505 | 8 | |a A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods1 Introduction -- 2 Linear Hyperbolic Problems on Bounded Domains -- 3 A Polynomial Spectral Calculus -- 4 Discontinuous Galerkin Spectral Element Approximations -- 4.1 The DGSEM -- 4.2 Stabilization by Split Form -- 5 Summary -- References -- Certified Reduced Basis Method for Affinely Parametric Isogeometric Analysis NURBS Approximation -- 1 Introduction and Motivation -- 2 Elliptic Coercive Parametrized Partial Differential Equations -- 3 Isogeometric Analysis NURBS Approximation | |
| 505 | 8 | |a 3.1 B-Splines3.2 Non-Uniform Rational B-Splines -- 3.3 Affine Preconditioning for Parameter-Dependent Domains -- 3.4 Isogeometric Analysis NURBS Approximation of Elliptic Coercive Parametrized PDEs -- 4 Reduced Basis Method for Isogeometric Analysis NURBS Approximation -- 4.1 Greedy Algorithm for the Snapshots Selection -- 4.2 A Posteriori Error Estimators for Elliptic Coercive Partial Differential Equations -- 5 Numerical Illustrations -- 5.1 Physical Parameters for Heat Conduction in a Pipeline -- 5.2 Geometrical Parameters for Heat Conduction in a Cylinder | |
| 504 | |a ""References""""Towards p-Adaptive Spectral/hp Element Methods for Modelling Industrial Flows""; ""1 Introduction""; ""2 Formulation""; ""2.1 Domain Discretisation""; ""2.1.1 Choice of Basis""; ""2.2 Implementation Details""; ""2.2.1 Continuous Galerkin Formulation""; ""2.2.2 Discontinuous Galerkin Formulation""; ""2.3 Efficiency Across a Range of Polynomial Orders""; ""3 Results""; ""3.1 Incompressible Flow""; ""3.2 Compressible Flow Using Explicit Timestepping""; ""3.2.1 Governing Equations""; ""3.2.2 Adaptive Procedure""; ""4 Conclusions""; ""References"" | ||
| 505 | 8 | |a A Perfect Absorbing Layer for High-Order Simulation of Wave Scattering Problems1 Introduction -- 2 Time-Harmonic Acoustic Scattering Problem -- 2.1 Real Compression Coordinate Transformation -- 2.2 Complex Compression Coordinate Transformation -- 2.3 Variable Substitution -- 2.4 Numerical Results -- 2.4.1 Illustration of the Solution in Ωab Under Different Transformations -- 2.4.2 Spectral-Element Methods for Scattering Problems -- 2.4.3 Simulation of Cylindrical Inside-Out Cloak -- 3 Rectangular/Polygonal Absorbing Layer -- 4 Extensions and Discussions | |
| 500 | |a ""Appendix 1. Proof of Theorem 1"" | ||
| 520 | |a This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.-- |c Provided by publisher. | ||
| 650 | 0 | |a Differential equations, Partial |x Numerical solutions |v Congresses. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial |x Numerical solutions. |2 fast |0 (OCoLC)fst00893488 | |
| 655 | 4 | |a Electronic books. | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772 | |
| 700 | 1 | |a Bittencourt, Marco L. | |
| 700 | 1 | |a Dumont, Ney A. | |
| 700 | 1 | |a Hesthaven, Jan S. | |
| 776 | 0 | 8 | |i Print version: |a Bittencourt, Marco L. |t Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 : Selected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil. |d Cham : Springer International Publishing, ©2017 |z 9783319658698 |
| 830 | 0 | |a Lecture notes in computational science and engineering ; |v 119. |0 http://id.loc.gov/authorities/names/n97020519 | |
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| 928 | |t Library of Congress classification |a QA377 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-319-65870-4 |z Springer Nature |g ebooks |i 12550108 | ||