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.
Author(s): P. Dörsek, J. M. Melenk (auth.), Jan S. Hesthaven, Einar M. Rønquist (eds.)
Series: Lecture Notes in Computational Science and Engineering 76
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 510
Tags: Computational Mathematics and Numerical Analysis;Computational Science and Engineering;Numerical and Computational Physics;Engineering Fluid Dynamics
Front Matter....Pages i-xi
hp -FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation....Pages 1-17
On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles....Pages 19-41
Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison....Pages 43-62
Hybridizable Discontinuous Galerkin Methods....Pages 63-84
Multivariate Modified Fourier Expansions....Pages 85-92
Constraint Oriented Spectral Element Method....Pages 93-100
Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs....Pages 101-110
A Conservative Spectral Element Method for Curvilinear Domains....Pages 111-119
An Efficient Control Variate Method for Parametrized Expectations....Pages 121-130
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 131-139
A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction....Pages 141-152
An hp -Nitsche’s Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes....Pages 153-161
Hybrid Explicit–Implicit Time Integration for Grid-Induced Stiffness in a DGTD Method for Time Domain Electromagnetics....Pages 163-170
High-Order Quasi-Uniform Approximation on the Sphere Using Fourier-Finite-Elements....Pages 171-178
An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations....Pages 179-187
Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation....Pages 189-197
Edge Functions for Spectral Element Methods....Pages 199-207
Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method....Pages 209-218
A Hybrid Method for the Resolution of the Gibbs Phenomenon....Pages 219-227
Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Verification of Structure Part....Pages 229-236
A New Spectral Method on Triangles....Pages 237-246
The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case....Pages 247-254
The Challenges of High Order Methods in Numerical Weather Prediction....Pages 255-266
GMRES for Oscillatory Matrix-Valued Differential Equations....Pages 267-274
Sensitivity Analysis of Heat Exchangers Using Perturbative Methods....Pages 275-282
Spectral Element Approximation of the Hodge-⋆ Operator in Curved Elements....Pages 283-291
Uncertainty Propagation for Systems of Conservation Laws, High Order Stochastic Spectral Methods....Pages 293-305
Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map....Pages 307-315
Constrained Approximation in hp -FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes....Pages 317-325
High Order Filter Methods for Wide Range of Compressible Flow Speeds....Pages 327-337
hp -Adaptive CEM in Practical Applications....Pages 339-346
Anchor Points Matter in ANOVA Decomposition....Pages 347-355
An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics....Pages 357-364
High Order Polynomial Interpolation of Parameterized Curves....Pages 365-372
A New Discontinuous Galerkin Method for the Navier–Stokes Equations....Pages 373-381
A $${P}_{n}^{\alpha ,\beta}$$ -Based Method for Linear Nonconstant Coefficients High Order Eigenvalue Problems....Pages 383-391
Spectral Element Discretization of Optimal Control Problems....Pages 393-401
Applications of High Order Methods to Vortex Instability Calculations....Pages 403-410
Entropy Viscosity Method for High-Order Approximations of Conservation Laws....Pages 411-418
High-Order Accurate Numerical Solution of Incompressible Slip Flow and Heat Transfer in Microchannels....Pages 419-427
Spectral Methods for Time-Dependent Variable-Coefficient PDE Based on Block Gaussian Quadrature....Pages 429-439
The Spectral Element Method Used to Assess the Quality of a Global C 1 Map....Pages 441-448
Stabilization of the Spectral-Element Method in Turbulent Flow Simulations....Pages 449-458
The Spectral-Element and Pseudo-Spectral Methods: A Comparative Study....Pages 459-467
Adaptive Spectral Filtering and Digital Total Variation Postprocessing for the DG Method on Triangular Grids: Application to the Euler Equations....Pages 469-477
BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity....Pages 479-486
A Two-Dimensional DG-SEM Approach to Investigate Resonance Frequencies and Sound Radiation of Woodwind Instruments....Pages 487-494
Spectral Properties of Discontinuous Galerkin Space Operators on Curved Meshes....Pages 495-502
Post-Processing of Marginally Resolved Spectral Element Data....Pages 503-510
Back Matter....Pages 511-517
