Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012: Selected papers from the ICOSAHOM conference, June 25-29, 2012, Gammarth, Tunisia

Front Matter....Pages i-ix
A Quasi-optimal Sparse Grids Procedure for Groundwater Flows....Pages 1-16
The Geometric Basis of Numerical Methods....Pages 17-35
Spectral Element Methods on Simplicial Meshes....Pages 37-55
Exponential Convergence of hp -DGFEM for Elliptic Problems in Polyhedral Domains....Pages 57-73
A Contribution to the Outflow Boundary Conditions for Navier-Stokes Time-Splitting Methods....Pages 75-86
High Order Space-Time Discretization for Elastic Wave Propagation Problems....Pages 87-97
Laguerre Simulation of Boundary Layer Flows: Conditions at Large Distance from the Wall....Pages 99-109
Implementation of an Explicit Algebraic Reynolds Stress Model in an Implicit Very High-Order Discontinuous Galerkin Solver....Pages 111-123
Investigation of Near-Wall Grid Spacing Effect in High-Order Discontinuous Galerkin RANS Computations of Turbomachinery Flows....Pages 125-134
A Fourth-Order Compact Finite Volume Scheme for the Convection-Diffusion Equation....Pages 135-144
On the Effect of Flux Functions in Discontinuous Galerkin Simulations of Underresolved Turbulence....Pages 145-155
Generation of High-Order Polynomial Patches from Scattered Data....Pages 157-167
Towards a High Order Fourier-SEM Solver of Fluid Models in Tokamaks....Pages 169-178
Whitney Forms, from Manifolds to Fields....Pages 179-189
Exponential Convergence of the hp Version of Isogeometric Analysis in 1D....Pages 191-203
High-Order Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations....Pages 205-215
High-Order ADI Schemes for Convection-Diffusion Equations with Mixed Derivative Terms....Pages 217-226
A Numerical Study of Averaging Error Indicators in p -FEM....Pages 227-236
Coupling of an Exact Transparent Boundary Condition with a DG Method for the Solution of the Time-Harmonic Maxwell Equations....Pages 237-247
A New Proof for Existence of H -Matrix Approximants to the Inverse of FEM Matrices: The Dirichlet Problem for the Laplacian....Pages 249-259
Multidomain Extension of a Pseudospectral Algorithm for the Direct Simulation of Wall-Confined Rotating Flows....Pages 261-271
A Comparison of High-Order Time Integrators for Highly Supercritical Thermal Convection in Rotating Spherical Shells....Pages 273-284
High Order Methods with Exact Conservation Properties....Pages 285-295
Spectral Element Discretization for the Vorticity, the Velocity and the Pressure Formulation of the Axisymmetric Navier-Stokes Problem....Pages 297-309
Higher-Order Compatible Discretization on Hexahedrals....Pages 311-323
Mimetic Spectral Element Advection....Pages 325-335
Large Eddy Simulation of a Muffler with the High-Order Spectral Difference Method....Pages 337-347
Stability Tools for the Spectral-Element Code Nek5000: Application to Jet-in-Crossflow....Pages 349-359
A High-Order Discontinuous Galerkin Method for Viscoelastic Wave Propagation....Pages 361-371
Mixed Mimetic Spectral Element Method Applied to Darcy’s Problem....Pages 373-382
Novel Outflow Boundary Conditions for Spectral Direct Numerical Simulation of Rotating Flows....Pages 383-392
A Geometric Approach Towards Momentum Conservation....Pages 393-402
A Spectral Method for Optimal Control Problems Governed by the Time Fractional Diffusion Equation with Control Constraints....Pages 403-414
Two-Phase Flow Solved by High Order Discontinuous Galerkin Method....Pages 415-425
Back Matter....Pages 427-433