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 /

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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Bibliographic Details
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:
Differential equations, Partial -- Numerical solutions -- Congresses.
Differential equations, Partial -- Numerical solutions.
Conference papers and proceedings.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11454957
Hidden Bibliographic Details
Other authors / contributors:Bittencourt, Marco L.
Dumont, Ney A.
Hesthaven, Jan S.
ISBN:9783319658704
3319658700
9783319658698
3319658697
Digital file characteristics:text file PDF
Notes:""Appendix 1. Proof of Theorem 1""
""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""
Print version record.
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.--
Other form: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
Standard no.:10.1007/978-3-319-65870-4
Table of Contents:
  • 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
  • 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
  • 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 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

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