Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 : Selected Papers From the ICOSAHOM Conference, June 25-29, 2012, Gammarth, Tunisia

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath 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. ​ 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