Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016: Selected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil

Description

This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions. Front Matter ....Pages i-xi Front Matter ....Pages 1-1 hp-Version Discontinuous Galerkin Approximations of the Elastodynamics Equation (Paola F. Antonietti, Alberto Ferroni, Ilario Mazzieri, Alfio Quarteroni)....Pages 3-19 A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods (David A. Kopriva)....Pages 21-40 Certified Reduced Basis Method for Affinely Parametric Isogeometric Analysis NURBS Approximation (Denis Devaud, Gianluigi Rozza)....Pages 41-62 Towards p-Adaptive Spectral/hp Element Methods for Modelling Industrial Flows (D. Moxey, C. D. Cantwell, G. Mengaldo, D. Serson, D. Ekelschot, J. Peiró et al.)....Pages 63-79 A Perfect Absorbing Layer for High-Order Simulation of Wave Scattering Problems (Li-Lian Wang, Zhiguo Yang)....Pages 81-101 High Order Semi-Lagrangian Particle Methods (Georges-Henri Cottet, Petros Koumoutsakos)....Pages 103-117 Front Matter ....Pages 119-119 Energy-Minimized High-Order Surface Meshes (Karsten Bock, Jörg Stiller)....Pages 121-132 Stabilization of (G)EIM in Presence of Measurement Noise: Application to Nuclear Reactor Physics (J. P. Argaud, B. Bouriquet, H. Gong, Y. Maday, O. Mula)....Pages 133-145 Coupling DG-FEM and BEM for a Time Harmonic Eddy Current Problem (Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli)....Pages 147-160 An LES Setting for DG-Based Implicit LES with Insights on Dissipation and Robustness (Rodrigo C. Moura, Gianmarco Mengaldo, Joaquim Peiró, Spencer J. Sherwin)....Pages 161-173 On the Scaling of Entropy Viscosity in High Order Methods (Adeline Kornelus, Daniel Appelö)....Pages 175-187 Robust Multigrid for Cartesian Interior Penalty DG Formulations of the Poisson Equation in 3D (Jörg Stiller)....Pages 189-201 Using PGD to Solve Nonseparable Fractional Derivative Elliptic Problems (Shimin Lin, Mejdi Azaiez, Chuanju Xu)....Pages 203-213 High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion (Marcella Bonazzoli, Francesca Rapetti, Pierre-Henri Tournier, Chiara Venturini)....Pages 215-227 A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems (B. Gervang, K. Olesen, M. Gerritsma)....Pages 229-242 High Order DGTD Solver for the Numerical Modeling of Nanoscale Light/Matter Interaction (Stéphane Lanteri, Claire Scheid, Maciek Klemm, Jonathan Viquerat)....Pages 243-255 High-Order Embedded WENO Schemes (Bart S. van Lith, Jan H. M. ten Thije Boonkkamp, Wilbert L. IJzerman)....Pages 257-268 Finite Element Heterogeneous Multiscale Method for Time-Dependent Maxwell’s Equations (Marlis Hochbruck, Christian Stohrer)....Pages 269-281 Computational Aspects of a Time Evolution Scheme for Incompressible Boussinesq Navier-Stokes in a Cylinder (Damián Castaño, María Cruz Navarro, Henar Herrero)....Pages 283-292 High Order Compact Mimetic Differences and Discrete Energy Decay in 2D Wave Motions (Jose E. Castillo, Guillermo Miranda)....Pages 293-304 A Spectral Mimetic Least-Squares Method for Generalized Convection-Diffusion Problems (Rasmus O. Hjort, Bo Gervang)....Pages 305-316 Krylov Subspace Spectral Methods with Coarse-Grid Residual Correction for Solving Time-Dependent, Variable-Coefficient PDEs (Haley Dozier, James V. Lambers)....Pages 317-329 Extension of the Velocity-Correction Scheme to General Coordinate Systems (Douglas Serson, Julio R. Meneghini, Spencer J. Sherwin)....Pages 331-342 A Parallel High-Order CENO Finite-Volume Scheme with AMR for Three-Dimensional Ideal MHD Flows (Lucie Freret, Clinton P. T. Groth, Hans De Sterck)....Pages 343-355 GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation (Arturo Vargas, Jesse Chan, Thomas Hagstrom, Timothy Warburton)....Pages 357-368 Helically Reduced Wave Equations and Binary Neutron Stars (Stephen R. Lau, Richard H. Price)....Pages 369-382 Detecting Discontinuities Over Triangular Meshes Using Multiwavelets (Mathea J. Vuik, Jennifer K. Ryan)....Pages 383-395 Solution of Wave Equation in Rods Using the Wavelet-Galerkin Method for Space Discretization (Rodrigo B. Burgos, Marco A. Cetale Santos, Raul R. e Silva)....Pages 397-406 On High Order Entropy Conservative Numerical Flux for Multiscale Gas Dynamics and MHD Simulations (Björn Sjögreen, H. C. Yee)....Pages 407-421 A Fast Direct Solver for the Advection-Diffusion Equation Using Low-Rank Approximation of the Green’s Function (Jonathan R. Bull)....Pages 423-435 High Order in Space and Time Schemes Through an Approximate Lax-Wendroff Procedure (A. Baeza, P. Mulet, D. Zorío)....Pages 437-449 On Thin Plate Spline Interpolation (M. Löhndorf, J. M. Melenk)....Pages 451-466 Efficient Equilibrated Flux Reconstruction in High Order Raviart-Thomas Space for Discontinuous Galerkin Methods (Igor Mozolevski, Edson Luiz Valmorbida)....Pages 467-479 Numerical Experiments on a Nonlinear Wave Equation with Singular Solutions (Thomas Hagstrom)....Pages 481-493 Numerical Solution of the Viscous Flow Past a Cylinder with a Non-global Yet Spectrally Convergent Meshless Collocation Method (Francisco Bernal, Alfa R. H. Heryudono, Elisabeth Larsson)....Pages 495-507 On Multiple Modes of Propagation of High-Order Finite Element Methods for the Acoustic Wave Equation (S. P. Oliveira)....Pages 509-518 Viscous Stabilizations for High Order Approximations of Saint-Venant and Boussinesq Flows (Richard Pasquetti)....Pages 519-531 An Adaptive Variable Order Quadrature Strategy (Paul Houston, Thomas P. Wihler)....Pages 533-545 Recent Results on the Improved WENO-Z+ Scheme (Rafael Brandão de Rezende Borges)....Pages 547-559 Compact High Order Complete Flux Schemes (J. H. M. ten Thije Boonkkamp, M. J. H. Anthonissen)....Pages 561-570 Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems (K. Olesen, B. Gervang, J. N. Reddy, M. Gerritsma)....Pages 571-584 A Staggered Discontinuous Galerkin Method for a Class of Nonlinear Elliptic Equations (Eric T. Chung, Ming Fai Lam, Chi Yeung Lam)....Pages 585-597 Optimized High Order Explicit Runge-Kutta-Nyström Schemes (Marc Duruflé, Mamadou N’diaye)....Pages 599-612 Artificial Viscosity Discontinuous Galerkin Spectral Element Method for the Baer-Nunziato Equations (C. Redondo, F. Fraysse, G. Rubio, E. Valero)....Pages 613-625 Summation-by-Parts and Correction Procedure via Reconstruction (Hendrik Ranocha, Philipp Öffner, Thomas Sonar)....Pages 627-637 Three-Dimensional Flow Stability Analysis Based on the Matrix-Forming Approach Made Affordable (Daniel Rodríguez, Elmer M. Gennaro)....Pages 639-650 Fast Spectral Methods for Temporally-Distributed Fractional PDEs (Mehdi Samiee, Ehsan Kharazmi, Mohsen Zayernouri)....Pages 651-667 Supercritical-Order Mimetic Operators on Higher-Dimensional Staggered Grids (Eduardo J. Sanchez, Guillermo F. Miranda, Jose M. Cela, Jose E. Castillo)....Pages 669-679 An hp Finite Element Method for Fourth Order Singularly Perturbed Problems (Christos Xenophontos, Philippos Constantinou, Charalambia Varnava)....Pages 681-692 Back Matter ....Pages 693-700