Ebook: Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway

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.

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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.

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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.
Content:
Front Matter....Pages i-xi
On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles....Pages 1-17
Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison....Pages 19-41
Hybridizable Discontinuous Galerkin Methods....Pages 43-62
Multivariate Modified Fourier Expansions....Pages 63-84
Constraint Oriented Spectral Element Method....Pages 85-92
Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs....Pages 93-100
A Conservative Spectral Element Method for Curvilinear Domains....Pages 101-110
An Efficient Control Variate Method for Parametrized Expectations....Pages 111-119
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....Pages 121-130
A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction....Pages 131-139
An hp-Nitsche’s Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes....Pages 141-152
Hybrid Explicit–Implicit Time Integration for Grid-Induced Stiffness in a DGTD Method for Time Domain Electromagnetics....Pages 153-161
High-Order Quasi-Uniform Approximation on the Sphere Using Fourier-Finite-Elements....Pages 163-170
An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations....Pages 171-178
Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation....Pages 179-187
Edge Functions for Spectral Element Methods....Pages 189-197
Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method....Pages 199-207
A Hybrid Method for the Resolution of the Gibbs Phenomenon....Pages 209-218
Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Verification of Structure Part....Pages 219-227
A New Spectral Method on Triangles....Pages 229-236
The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case....Pages 237-246
The Challenges of High Order Methods in Numerical Weather Prediction....Pages 247-254
GMRES for Oscillatory Matrix-Valued Differential Equations....Pages 255-266
Sensitivity Analysis of Heat Exchangers Using Perturbative Methods....Pages 267-274
Spectral Element Approximation of the Hodge-? Operator in Curved Elements....Pages 275-282
Uncertainty Propagation for Systems of Conservation Laws, High Order Stochastic Spectral Methods....Pages 283-291
Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map....Pages 293-305
Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes....Pages 307-315
High Order Filter Methods for Wide Range of Compressible Flow Speeds....Pages 317-325
Anchor Points Matter in ANOVA Decomposition....Pages 327-337
An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics....Pages 339-346
High Order Polynomial Interpolation of Parameterized Curves....Pages 347-355
A New Discontinuous Galerkin Method for the Navier–Stokes Equations....Pages 357-364
Spectral Element Discretization of Optimal Control Problems....Pages 365-372
Applications of High Order Methods to Vortex Instability Calculations....Pages 373-381
Entropy Viscosity Method for High-Order Approximations of Conservation Laws....Pages 383-391
High-Order Accurate Numerical Solution of Incompressible Slip Flow and Heat Transfer in Microchannels....Pages 393-401
Spectral Methods for Time-Dependent Variable-Coefficient PDE Based on Block Gaussian Quadrature....Pages 403-410
Stabilization of the Spectral-Element Method in Turbulent Flow Simulations....Pages 411-418
The Spectral-Element and Pseudo-Spectral Methods: A Comparative Study....Pages 419-427
Adaptive Spectral Filtering and Digital Total Variation Postprocessing for the DG Method on Triangular Grids: Application to the Euler Equations....Pages 429-439
BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity....Pages 441-448
A Two-Dimensional DG-SEM Approach to Investigate Resonance Frequencies and Sound Radiation of Woodwind Instruments....Pages 449-458
Spectral Properties of Discontinuous Galerkin Space Operators on Curved Meshes....Pages 459-467
Post-Processing of Marginally Resolved Spectral Element Data....Pages 469-477
Back Matter....Pages 479-486
....Pages 487-494