Spectral methods on triangles and other domains
Journal of Scientific Computing
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
An analysis of the discontinuous Galerkin method for wave propagation problems
Journal of Computational Physics
Well-posed perfectly matched layers for advective acoustics
Journal of Computational Physics
A Stable, perfectly matched layer for linearized Euler equations in unslit physical variables
Journal of Computational Physics
High-order nonreflecting boundary conditions without high-order derivatives
Journal of Computational Physics
Nodal high-order methods on unstructured grids
Journal of Computational Physics
High-order non-reflecting boundary scheme for time-dependent waves
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
Journal of Scientific Computing
Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations
Journal of Computational Physics
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Hi-index | 31.45 |
In this study a discontinuous Galerkin method (DG) for solving the three-dimensional time-dependent dissipative wave equation is investigated. In the case of unbounded problems, the perfectly matching layer (PML) is used to truncate the computational domain. The aim of this work is to investigate a simple selection method for choosing the basis order for elements in the computational mesh in order to obtain a predetermined error level. The selection method studied here relies on the error estimates provided by Ainsworth [M. Ainsworth, Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods, Journal of Computational Physics 198(1) (2004) 106-130]. The performance of the non-uniform basis is examined using numerical experiments. In the simulated model problems, a feasible method choosing the basis order for arbitrary sized elements is achieved. In simulations, the effect of dissipation and the choices of the PML parameters on the performance of the DG method are also investigated.