The GETMe mesh smoothing framework : a geometric way to quality finite element meshes 6.3.2 Influence of initial mesh validity and quality 6.3.3 Unrestricted surface mesh smoothing 6.4 Extending the GETMe mesh improvement framework 6.4.1 Surface mesh smoothing 6.4.2 Anisotropic mesh smoothing 6.4.3 Combining GETMe with topology modification 6.4.4 Using GETMe for mesh untangling Chapter 7 Numerical examples 7.1 Polygonal meshes 7.1.1 Mixed planar mesh 7.1.2 Single element type surface meshes 7.1.3 Anisotropic meshes 7.2 Single element type volumetric meshes 7.2.1 Tetrahedral meshes 7.2.2 Hexahedral meshes 7.3 Mixed element type volumetric meshes 7.3.1 Embedded meshes 7.3.2 Layered mesh 7.4 Finite element method results 7.4.1 Model problem and error norms 7.4.2 Planar example 7.4.3 Volumetric example Chapter 8 Extending the GETMe smoothing framework 8.1 Alternative element transformations 8.1.1 Rotation based transformations 8.1.2 Geometric transformations with non regular limits . . 8.1.3 Gradient flow 8.2 Variations of GETMe smoothing 8.2.1 Geometric triangle transformation based smoothing . 8.2.2 GETOpt Bibliography Index