Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems

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Optimal Control and Numerical Adaptivity for Advection-Diffusion Equations (2005, background): “(24) The terms R(w;u) and R(p;w) represent the residuals of the state and adjoint equations respectively, while δK is a stabilization parameter depending on the local Péclet number PeK := |V|∞,KhK 2ν [7], being hK the diameter of the element K ∈ Th, while |V|∞,K is the maximum length of V on K.”
An adaptive strategy for hp-FEM based on testing for analyticity (2007, unknown): “For different aspects of anisotropy in low-order FEM such as a posteriori error estimation and adaptivity, we mention the recent [10, 16 ,5,4] and the references therein.”
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error (2011, background): “For the linear interpolation error, a lot of numerical examples for real life problems [5, 15, 16, 18, 31, 34, 36, 40] tend to answer aﬃrmatively to this question.”