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Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

Selected papers from the ICOSAHOM conference, June 25-29, 2012, Gammarth, Tunisia

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Mejdi Azaïez

    1. Institut Polytechnique de Bordeaux, Université de Bordeaux, Pessac, France

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  2. Henda El Fekih

    1. Ecole Nationale d'Ingénieurs de Tunis, Université de Tunis El Manar, Tunis, Tunisia

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  3. Jan S. Hesthaven

    1. EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 95)

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Table of contents (34 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. A Quasi-optimal Sparse Grids Procedure for Groundwater Flows

    • Joakim Beck, Fabio Nobile, Lorenzo Tamellini, Raúl Tempone
    Pages 1-16

  3. The Geometric Basis of Numerical Methods

    • Marc Gerritsma, René Hiemstra, Jasper Kreeft, Artur Palha, Pedro Rebelo, Deepesh Toshniwal
    Pages 17-35

  4. Spectral Element Methods on Simplicial Meshes

    • Richard Pasquetti, Francesca Rapetti
    Pages 37-55

  5. Exponential Convergence of hp-DGFEM for Elliptic Problems in Polyhedral Domains

    • Dominik Schötzau, Christoph Schwab, Thomas Wihler, Marcel Wirz
    Pages 57-73

  6. A Contribution to the Outflow Boundary Conditions for Navier-Stokes Time-Splitting Methods

    • E. Ahusborde, M. Azaïez, S. Glockner, A. Poux
    Pages 75-86

  7. High Order Space-Time Discretization for Elastic Wave Propagation Problems

    • Paola F. Antonietti, Ilario Mazzieri, Alfio Quarteroni, Francesca Rapetti
    Pages 87-97

  8. Laguerre Simulation of Boundary Layer Flows: Conditions at Large Distance from the Wall

    • F. Auteri, L. Quartapelle
    Pages 99-109

  9. Implementation of an Explicit Algebraic Reynolds Stress Model in an Implicit Very High-Order Discontinuous Galerkin Solver

    • F. Bassi, L. Botti, A. Colombo, A. Ghidoni, S. Rebay
    Pages 111-123

  10. Investigation of Near-Wall Grid Spacing Effect in High-Order Discontinuous Galerkin RANS Computations of Turbomachinery Flows

    • F. Bassi, L. Botti, A. Colombo, A. Ghidoni, S. Rebay
    Pages 125-134

  11. A Fourth-Order Compact Finite Volume Scheme for the Convection-Diffusion Equation

    • Christine Baur, Michael Schäfer
    Pages 135-144

  12. On the Effect of Flux Functions in Discontinuous Galerkin Simulations of Underresolved Turbulence

    • Andrea D. Beck, Gregor J. Gassner, Claus-Dieter Munz
    Pages 145-155

  13. Generation of High-Order Polynomial Patches from Scattered Data

    • Karsten Bock, Jörg Stiller
    Pages 157-167

  14. Towards a High Order Fourier-SEM Solver of Fluid Models in Tokamaks

    • A. Bonnement, S. Minjeaud, R. Pasquetti
    Pages 169-178

  15. Whitney Forms, from Manifolds to Fields

    • Alain Bossavit, Francesca Rapetti
    Pages 179-189

  16. Exponential Convergence of the hp Version of Isogeometric Analysis in 1D

    • Annalisa Buffa, Giancarlo Sangalli, Christoph Schwab
    Pages 191-203

  17. High-Order Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations

    • S. Descombes, S. Lanteri, L. Moya
    Pages 205-215

  18. High-Order ADI Schemes for Convection-Diffusion Equations with Mixed Derivative Terms

    • B. Düring, M. Fournié, A. Rigal
    Pages 217-226

  19. A Numerical Study of Averaging Error Indicators in p-FEM

    • Philipp Dörsek, J. Markus Melenk
    Pages 227-236

  20. Coupling of an Exact Transparent Boundary Condition with a DG Method for the Solution of the Time-Harmonic Maxwell Equations

    • M. El Bouajaji, N. Gmati, S. Lanteri, J. Salhi
    Pages 237-247
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About this book

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.   ​

Editors and Affiliations

  • Institut Polytechnique de Bordeaux, Université de Bordeaux, Pessac, France

    Mejdi Azaïez

  • Ecole Nationale d'Ingénieurs de Tunis, Université de Tunis El Manar, Tunis, Tunisia

    Henda El Fekih

  • EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Jan S. Hesthaven

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