An analysis of the discontinuous Galerkin method for wave propagation problems

Dispersion Analysis for Discontinuous Spectral Element Methods

Journal of Scientific Computing

Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. one space dimension

Journal of Computational Physics

A Discontinuous Spectral Element Method for the Level Set Equation

Journal of Scientific Computing

De-aliasing on non-uniform grids: algorithms and applications

Journal of Computational Physics

Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

Journal of Computational Physics

A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media

Journal of Scientific Computing

A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media

Journal of Scientific Computing

Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

Journal of Computational Physics

Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations

Journal of Scientific Computing

On the Stability and Accuracy of the Spectral Difference Method

Journal of Scientific Computing

A non-uniform basis order for the discontinuous Galerkin method of the 3D dissipative wave equation with perfectly matched layer

Journal of Computational Physics

Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

Journal of Computational Physics

High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster

Journal of Computational Physics

A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries

Journal of Computational Physics

A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations

Applied Numerical Mathematics

Discontinuous Galerkin spectral element approximations on moving meshes

Journal of Computational Physics

A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods

SIAM Journal on Scientific Computing

A stable interface element scheme for the p-adaptive lifting collocation penalty formulation

Journal of Computational Physics

An optimized spectral difference scheme for CAA problems

Journal of Computational Physics

An Analysis of the Dissipation and Dispersion Errors of the PNPM Schemes

Journal of Scientific Computing

Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

Journal of Computational Physics

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods

Journal of Scientific Computing