Mesh Generation – Application to Finite Elements

By A. El-Hamalawi. 2001

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Mathematical Principles of Anisotropic Mesh Adaptation (2006, background): “, see [16, 25, 29, 48]) even use the Hessian directly as the metric tensor.”
Shape optimization with a level set based mesh evolution method (2014, methodology): “Toachieve this, we rely on the four usual local mesh modiﬁcation operators (see [40], or [28, 29] for more details around the actual implementation), which are brieﬂy described hereafter (see Figure 3).”
Effective permeability of fractured porous media in steady state flow (2003, methodology): “The interested reader can find a general review of these techniques in the work by Frey and George [2000]. [30] The method applied here belongs to the second family.”
Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems (2014, background): “All these admittedly rather classical operators [23] enjoy two forms, depending on whether they are applied to a surface configuration – i.”
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator (2015, methodology): “In the context of numerical simulation, the mesh quality could be judged by the error on the interested numerical quantity or the efﬁciency on the solution time [Frey and George 2000].”