A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
By Zhijian Wang, Haiyang Gao. Journal of Computational Physics, 2009
462 citations recorded by the source corpus.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/0c40fe3d4ebcaac54d36109837bc72df2a118593
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In Computational Mechanics
Citations in the corpus
- Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations (2011, methodology): “Wang and Hyunh also gave interesting extensions of the FR method to triangles [18,19].”
- Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations (2013, methodology): “Comparisons of numerical tests by the two approaches for the case of non-linear fluxes can be found in [28].”
- A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids (2011, methodology): “Numerical experiments indicate that there is a slight loss of accuracy with the LP approach, but it is fully conservative [45].”
- A review of flux reconstruction or correction procedure via reconstruction method for the Navier-Stokes equations (2016, methodology): “The first extension to triangular elements was based on the so-called lifting collocation penalty approach (LCP) (Wang & Gao, 2009).”