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Spectral and High Order Methods for Partial Differential Equations

Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Jan S. Hesthaven

    1. , Division of Applied Mathematics, Brown University, Providence, USA

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  2. Einar M. Rønquist

    1. , Department of Mathematical Sciences, Norwegian University of Science and Tech, Trondheim, Norway

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 76)

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Table of contents (49 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation

    • P. Dörsek, J. M. Melenk
    Pages 1-17

  3. On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles

    • Brett N. Ryland, Hans Z. Munthe-Kaas
    Pages 19-41

  4. Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison

    • Joakim Bäck, Fabio Nobile, Lorenzo Tamellini, Raul Tempone
    Pages 43-62

  5. Hybridizable Discontinuous Galerkin Methods

    • N. C. Nguyen, J. Peraire, B. Cockburn
    Pages 63-84

  6. Multivariate Modified Fourier Expansions

    • Ben Adcock, Daan Huybrechs
    Pages 85-92

  7. Constraint Oriented Spectral Element Method

    • E. Ahusborde, M. Azaïez, R. Gruber
    Pages 93-100

  8. Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs

    • Marcel Bieri, Roman Andreev, Christoph Schwab
    Pages 101-110

  9. A Conservative Spectral Element Method for Curvilinear Domains

    • Mick Bouman, Artur Palha, Jasper Kreeft, Marc Gerritsma
    Pages 111-119

  10. An Efficient Control Variate Method for Parametrized Expectations

    • Sébastien Boyaval
    Pages 121-130

  11. A Proof, Based on the Euler Sum Acceleration, of the Recovery of an Exponential (Geometric) Rate of Convergence for the Fourier Series of a Function with Gibbs Phenomenon

    • John P. Boyd
    Pages 131-139

  12. A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction

    • Yanlai Chen, Jan S. Hesthaven, Yvon Maday
    Pages 141-152

  13. An hp-Nitsche’s Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes

    • Alexey Chernov, Peter Hansbo
    Pages 153-161

  14. Hybrid Explicit–Implicit Time Integration for Grid-Induced Stiffness in a DGTD Method for Time Domain Electromagnetics

    • Victorita Dolean, Hassan Fahs, Loula Fezoui, Stéphane Lanteri
    Pages 163-170

  15. High-Order Quasi-Uniform Approximation on the Sphere Using Fourier-Finite-Elements

    • T. Dubos
    Pages 171-178

  16. An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations

    • Jens L. Eftang, Anthony T. Patera, Einar M. Rønquist
    Pages 179-187

  17. Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation

    • D. Fishelov, M. Ben-Artzi, J.-P. Croisille
    Pages 189-197

  18. Edge Functions for Spectral Element Methods

    • Marc Gerritsma
    Pages 199-207

  19. Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method

    • N. Gödel, T. Warburton, M. Clemens
    Pages 209-218

  20. A Hybrid Method for the Resolution of the Gibbs Phenomenon

    • Jae-Hun Jung
    Pages 219-227
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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 (2009), and provides an overview of the depth and breadth 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

  • , Division of Applied Mathematics, Brown University, Providence, USA

    Jan S. Hesthaven

  • , Department of Mathematical Sciences, Norwegian University of Science and Tech, Trondheim, Norway

    Einar M. Rønquist

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