A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

2009/08/13 by Z.J. Wang, Haiyang Gao · 431 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Collocation (remote sensing) #Computational Fluid Dynamics and Aerodynamics #Computer science #Conservation law #Discontinuous Galerkin method #Discretization #Extended finite element method #Finite element method #Fluid Dynamics and Turbulent Flows #Galerkin method #Geometry #Grid #Hexahedron #Mathematical analysis #Mathematical optimization #Mathematics #Penalty method #Physics #Quadrilateral #Spectral element method #Spectral method

paper · doi:10.1016/j.jcp.2009.07.036

published in Journal of Computational Physics 228(21), 8161-8186 (Elsevier BV)

openalex publication_date 2009/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/27

Citations

• Spectral difference method for unstructured grids I: Basic formulation
• Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
• A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations
• The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V

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