Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations

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Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error (2011, methodology): “Distances in the adaptive mesh generator are computed in the Riemannian metric space rather than in the Euclidean one.”
Fluidity: A fully unstructured anisotropic adaptive mesh computational modeling framework for geodynamics (2011, methodology): “Further discussion of the adaptivity algorithms in two and three dimensions can be found in the studies by Vasilevski and Lipnikov [1999] and Pain et al. [2001] , respectively.”
A POD reduced order unstructured mesh ocean modelling method for moderate Reynolds number flows (2009, methodology): “Constraints are imposed on these operations so as to preserve the integrity of non-planar geometrical boundaries [26, 29].”
Conservative interpolation between volume meshes by local Galerkin projection (2011, methodology): “A metric used to control the L1 norm of the interpolation error associated with temperature was computed [33,36]:”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “On the other hand, it is also possible through mesh optimization techniques to exploit solution behavior and gain higher accuracy through the appropriate use of element anisotropy (Pain et al., 2001; Mostaghimi et al., 2015).”