Spectral and High Order Methods for Partial Differential Equations

hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation
P. D¨orsek and J.M. Melenk
On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles
Brett N. Ryland and Hans Z. Munthe-Kaas
Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
Joakim B¨ack, Fabio Nobile, Lorenzo Tamellini, and Raul Tempone
Hybridizable Discontinuous Galerkin Methods
N.C. Nguyen, J. Peraire, and B. Cockburn
Multivariate Modified Fourier Expansions
Ben Adcock and Daan Huybrechs
Constraint Oriented Spectral Element Method
E. Ahusborde,M. Azäiez, and R. Gruber
Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs
Marcel Bieri, Roman Andreev, and Christoph Schwab
A Conservative Spectral Element Method for Curvilinear Domains
Mick Bouman, Artur Palha, Jasper Kreeft, and Marc Gerritsma
An Efficient Control Variate Method for Parametrized Expectations
S´ebastien Boyaval
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
John P. Boyd
A Seamless Reduced Basis Element Method for 2D Maxwell's Problem: An Introduction
Yanlai Chen, Jan S. Hesthaven, and Yvon Maday
An hp-Nitsche's Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes
Alexey Chernov and Peter Hansbo
Hybrid Explicit-Implicit Time Integration for Grid-Induced Stiffness in a DGTD Method for Time Domain
Electromagnetics
Victorita Dolean, Hassan Fahs, Loula Fezoui, and St´ephane Lanteri
High-Order Quasi-Uniform Approximation on the Sphere Using Fourier-Finite-Elements
T. Dubos
An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations
Jens L. Eftang, Anthony T. Patera, and Einar M. Rønquist
Highly Accurate Discretization of the Navier-Stokes Equations in Streamfunction Formulation
D. Fishelov,M. Ben-Artzi, and J.-P. Croisille
Edge Functions for Spectral Element Methods
Marc Gerritsma
Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method
N. G¨odel, T. Warburton, and M. Clemens
A Hybrid Method for the Resolution of the Gibbs Phenomenon
Jae-Hun Jung
Numerical Simulation of Fluid-Structure Interaction in Human Phonation: Verification of Structure Part
Martin Larsson and Bernhard M¨uller
A New Spectral Method on Triangles
Youyun Li, Li-LianWang, Huiyuan Li, and Heping Ma
The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case
A.E. Løvgren, Y. Maday, and E.M. Rønquist
The Challenges of High Order Methods in Numerical Weather Prediction
Catherine Mavriplis
GMRES for Oscillatory Matrix-Valued Differential Equations
Sheehan Olver
Sensitivity Analysis of Heat Exchangers Using Perturbative Methods
J.C. Pacio, C.A. Dorao, and M. Fernandino
Spectral Element Approximation of the Hodge-? Operator in Curved Elements
Artur Palha and Marc Gerritsma
Uncertainty Propagation for Systems of Conservation Laws, High Order Stochastic Spectral Methods
G. Pöette, B. Despr´es, and D. Lucor
Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map
Gianluigi Rozza, Toni Lassila, and Andrea Manzoni
Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes
Andreas Schr¨oder
High Order Filter Methods for Wide Range of Compressible Flow Speeds
H.C. Yee and Bj¨orn Sj¨ogreen
hp-Adaptive CEM in Practical Applications
Adam Zdunek and Waldemar Rachowicz
Anchor Points Matter in ANOVA Decomposition
Zhongqiang Zhang, Minseok Choi, and George Em Karniadakis
An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics
Christoph Altmann
High Order Polynomial Interpolation of Parameterized Curves
Tormod Bjøntegaard, Einar M. Rønquist, and Øystein Tr°asdahl
A New Discontinuous Galerkin Method for the Navier-Stokes Equations
M. Borrel and J. Ryan
n -Based Method for Linear Nonconstant Coefficients High Order Eigenvalue Problems
F.I. Dragomirescu
Spectral Element Discretization of Optimal Control Problems
Loredana Gaudio and Alfio Quarteroni
Applications of High Order Methods to Vortex Instability Calculations
Leo M. Gonz´alez, Vassilis Theofilis, and Fernando
Meseguer-Garrido
Entropy Viscosity Method for High-Order Approximations of Conservation Laws
J.L. Guermond and R. Pasquetti
High-Order Accurate Numerical Solution of Incompressible Slip Flow and Heat Transfer in Microchannels
Kazem Hejranfar, Mir Hamed Mohafez, and Ali Khajeh-Saeed
Spectral Methods for Time-Dependent Variable-Coefficient PDE Based on Block Gaussian Quadrature
James V. Lambers
The Spectral Element Method Used to Assess the Quality of a Global C1 Map
A.E. Løvgren, Y. Maday, and E.M. Rønquist
Stabilization of the Spectral-Element Method in Turbulent Flow Simulations
J. Ohlsson, P. Schlatter, P.F. Fischer, and D.S. Henningson
The Spectral-Element and Pseudo-Spectral Methods: A Comparative Study
J. Ohlsson, P. Schlatter, C. Mavriplis, and D.S. Henningson
Adaptive Spectral Filtering and Digital Total Variation Postprocessing for the DG Method on Triangular Grids: Application to the Euler Equations
S. Ortleb, A. Meister, and Th. Sonar
BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity
Luca F. Pavarino and Olof B. Widlund
A Two-Dimensional DG-SEM Approach to Investigate Resonance Frequencies and Sound Radiation of Woodwind Instruments
Andreas Richter and J¨org Stiller
Spectral Properties of Discontinuous Galerkin Space Operators on Curved Meshes
Thomas Toulorge and Wim Desmet
Post-Processing of Marginally Resolved Spectral Element Data
Carl Erik Wasberg