Spectral and High Order Methods for Partial Differential Equations

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

Editors:

ISBN: 978-3-642-15336-5 (Print) 978-3-642-15337-2 (Online)

Table of contents (49 chapters)

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  1. Front Matter

    Pages i-xi

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    Book Chapter

    Pages 1-17

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

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    Pages 19-41

    On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles

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    Pages 43-62

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

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    Pages 63-84

    Hybridizable Discontinuous Galerkin Methods

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    Pages 85-92

    Multivariate Modified Fourier Expansions

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    Pages 93-100

    Constraint Oriented Spectral Element Method

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    Pages 101-110

    Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs

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    Pages 111-119

    A Conservative Spectral Element Method for Curvilinear Domains

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    Pages 121-130

    An Efficient Control Variate Method for Parametrized Expectations

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    Pages 131-139

    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

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    Pages 141-152

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

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    Pages 153-161

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

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    Pages 163-170

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

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    Pages 171-178

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

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    Pages 179-187

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

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    Pages 189-197

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

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    Pages 199-207

    Edge Functions for Spectral Element Methods

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    Pages 209-218

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

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    Pages 219-227

    A Hybrid Method for the Resolution of the Gibbs Phenomenon

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    Book Chapter

    Pages 229-236

    Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Verification of Structure Part

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