Numerical Geometry, Grid Generation and Scientific Computing

Part I Delaunay-Voronoi Theory and Applications.- Local Groups in Delone Sets.- Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups G k/n.- A Proof of the Invariant-Based Formula for the Linking Number and its Asymptotic Behaviour.- The Singularity Set of Optimal Transportation Maps.- Polygonal and Polyhedral Delaunay Meshing.- On Decomposition of Embedded Prismatoids in R3 without Additional Points.- Out-of-core Constrained Delaunay Tetrahedralizations for Large Scenes.- Part II Adaptive Meshing.- Size Gradation Control for Anisotropic Hybrid Meshes.- Adjoint Computation on Anisotropic Meshes in High-fidelity RANS Simulations.- Moving Deforming Mesh Generation Based on the Quasi-isometric Functional.- Adaptive Grids for Non-monotone Waves and Instabilities in a Non-equilibrium PDE Model.- RBF-VerBSS Hybrid Method for Mesh Deformation.- A Uniform Convergence Analysis for a Bakhvalov-type Mesh with an Explicitly Defined Transition Point.- On a Comprehensive Grid for Solving Problems Having Exponential or Power-of-First-Type Layers.- Preserved Structure Constants for Red Refinements of Product Elements.- Part III Meshing and CAD.- Global Parametrization Based on Ginzburg-Landau Functional.- Parametrization of Plane Irregular Regions: A Semi-automatic Approach I.- A Hybrid Approach to Fast Indirect Quadrilateral Mesh Generation.- Hexahedral Mesh Generation Using Voxel Field Recovery.- Generation of Boundary Layer Meshes by the Enhanced Jump-and-Walk Method with a Fast Collision Detecting Algorithm.- Part IV Numerical Geometry and Applications.- An Improved Algorithm for Scattered Data Interpolation using Quartic Triangular Bézier Surfaces.- On Integral-based (Transfinite) Laplace Coordinates.- Part V Numerical Methods.- Fully-implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier-Stokes Problem.- Efficient Steady Flow Computations with Exponential Multigrid Methods.- Exponential TimeIntegrators for Unsteady Advection-diffusion Problems on Refined Meshes.