Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
By Mark Ainsworth. 2004
316 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/94b1bada8dcfb8155f460daf502e907f4fceb4d6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Chi-Wang Shu
- Xinghui Zhong
- Lilia Krivodonova
- Antonio J. Gil
- Roman Poya
- Ruibin Qin
- Ruben Sevilla
- G. Em Karniadakis
In Electrical and Electronic Engineering
- Chi-Wang Shu
- Roman Poya
- Antonio J. Gil
- Ruben Sevilla
- G. Em Karniadakis
- Lilia Krivodonova
- Ruibin Qin
- Martine Baelmans
In Numerical Analysis
- Chi-Wang Shu
- Lilia Krivodonova
- Ruibin Qin
- Xinghui Zhong
- G. Em Karniadakis
- Martine Baelmans
- Wim Desmet
- Xiaoliang Wan
Citations in the corpus
- A unified approach for a posteriori high-order curved mesh generation using solid mechanics (2016, background): “acoustics and electromagnetics) due to their low dispersion and dissipation compared to low-order methods [2,7,31,46, 47,64].”
- Efficient Implementation of Tam and Auriault's Time-Domain Impedance Boundary Condition (2008, methodology): “According to the 2 p 1 ’ kh rule proposed by Ainsworth [28], with k the wave number and a constant equal to about three, this mesh is valid for frequencies up to 3600 Hz.”
- Numerical resolution of discontinuous Galerkin methods for time dependent wave equations (2011, methodology): “See, for example [32,27,28,8,9] for recent development and studies of the dispersion and dissipation errors of DG methods using Fourier analysis.”
- An analysis of the spectrum of the discontinuous Galerkin method (2013, methodology): “An extended analysis of the dispersion and dissipation err ors were given by Ainsworth in [2].”
- A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids (2014, unknown): “Introduction The discontinuous Galerkin (DG) methods [1–26] have recently become popular for the solution of systems of conservation laws.”
- Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations (2006, background): “The long-term behavior for aforementioned initial conditions is similar to the spectral expansion of deterministic functions with high wave numbers (see [24]).”