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

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