Mejdi Azaïez & Henda El Fekih 
Spectral and High Order Methods for Partial Differential Equations – ICOSAHOM 2012 
Selected papers from the ICOSAHOM conference, June 25-29, 2012, Gammarth, Tunisia

A quasi-optimal sparse grids procedure for groundwater flows.- The geometric basis of numerical methods.- Spectral element methods on simplicial meshes.- Exponential convergence of hp-DGFEM for elliptic problems in polyhedral domains.- A contribution to the outflow boundary conditions for Navier-Stokes time-splitting methods.- High order space-time discretization for elastic wave propagation problems.- Laguerre Simulation of Boundary Layer Flows: Conditions at Large Distance from the Wall.- Implementation of an Explicit Algebraic Reynolds Stress Model in an implicit very high-order Discontinuous Galerkin solver.- Investigation of near-wall grid spacing effect in high-order Discontinuous Galerkin RANS computations of turbomachinery flows.- A fourth-order compact finite volume scheme for the convection-diffusion equation.- On the Effect of Flux Functions in Discontinuous Galerkin Simulations of Underresolved Turbulence.- Generation of High-Order Polynomial Patches from Scattered Data.- Towards a high order Fourier-SEM solver of fluid models in tokamaks.- Whitney forms, from manifolds to field.- Exponential Convergence of the hp version of Isogeometric analysis in 1D.- High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations.- High-order ADI schemes for convection-diffusion equations with mixed derivative terms.- A Numerical Study of Averaging Error Indicators in p-FEM.- Coupling of an exact transparent boundary condition with a DG method for the solution of  the time-harmonic Maxwell equations.- A new proof for existence of H-matrix  approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian.- Multidomain extension of a pseudospectral algorithm for the direct simulation of wall-confined rotating flows.- A comparison of high-order time integrators for highly supercritical thermal convection in rotating spherical shells.- High order methods with exact conservationproperties.- Spectral element discretization for the vorticity,  the velocity and the pressure formulation of the axisymmetric Navier-Stokes problem.- Higher-order compatible discretization on hexahedrals.- Mimetic Spectral Element Advection.- Large eddy simulation of a muffler with the high-order spectral difference method.- Stability Tools for the Spectral-Element Code Nek5000; Application to Jet-in-Crossflow.- A high-order discontinuous Galerkin method for viscoelastic wave propagation.- Mixed Mimetic Spectral Element method applied to Darcy’s problem.- Novel outflow boundary conditions for spectral direct numerical simulation of rotating flows.- A Geometric Approach Towards Momentum Conservation.- A Spectral Method for Optimal Control Problems Governed by the Time Fractional  Diffusion Equation with Control Constraints.- Two-Phase Flow solved by High Order Discontinuous Galerkin Method.