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Conference International Conference on Spectral and High Order Methods (11th : 2016 : Rio de Janeiro, Brazil)
Title 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 / Marco L. Bittencourt, Ney A. Dumont, Jan S. Hesthaven, editors.
Imprint Cham : Springer, 2017.

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Conference International Conference on Spectral and High Order Methods (11th : 2016 : Rio de Janeiro, Brazil)
Series Lecture Notes in Computational Science and Engineering ; v. 119.
Lecture notes in computational science and engineering ; 119.
Subject Differential equations, Partial -- Numerical solutions -- Congresses.
Alt Name Bittencourt, Marco L. (Marco LĂșcio), 1964-
Dumont, Ney A.
Hesthaven, Jan S.
Description 1 online resource (681 pages).
polychrome rdacc
Note Print version record.
Contents 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
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
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
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 Iab 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
Bibliography Note ""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""
Note ""Appendix 1. Proof of Theorem 1""
Summary 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.-- Provided by publisher.
ISBN 9783319658704 (electronic bk.)
3319658700 (electronic bk.)
ISBN/ISSN 10.1007/978-3-319-65870-4
OCLC # 1012344219
Additional Format Print version: Bittencourt, Marco L. 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. Cham : Springer International Publishing, 2017 9783319658698.

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