Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation

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deal.II—A general-purpose object-oriented finite element library (2007, background): “[Hartmann and Houston 2006a], Figure 6 shows a subsonic viscous compressible flow with separation (taken from [Hartmann and Houston 2006b]).”
Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations (2006, methodology): “Reference [6], but does not require the solution of an auxiliary (dual) problem.”
Symmetric Interior Penalty DG Methods for the CompressibleNavier-Stokes Equations I: Method Formulation (2005, methodology): “Finite element methods, discontinuous Galerkin methods, compressible Navier– Stokes equations”
Anisotropic mesh refinement for discontinuous Galerkin methods in two‐dimensional aerodynamic flow simulations (2008, methodology): “[6], the error in the target quantity can be represented as follows: J (u) − J (uh) = −N(uh, z − zh) (10)”
Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics (2011, background): “Later, they extended their approach to viscous flows [149] and demonstrated applications to a variety of laminar, aerodynamic flows including shock waves (Hartmann [150]).”