Parallel tetrahedral mesh generation based on a-priori domain decomposition [Elektronische Ressource] / vorgelegt von Evgeny Ivanov

Parallel Tetrahedral Mesh GenerationBased on A-priori DomainDecompositionEvgeny IvanovVom Fachbereich Mathematikder Universit¨ at Kaiserslauternzur Verleihung des akademischen GradesDoktor der Naturwissenschaften(Doctor rerum naturalium, Dr. rer. nat.)vorgelegte Dissertation.Erster Gutachter: Prof. Dr. A. KlarZweiter Gutachter: Prof. Dr. U. Rude¨D 386Table of contentsIntroduction 5I. General concepts related to unstructured mesh generation 101.1. Grid and solution . . . . . . . . . . . . . . . . . . . . . . . . 101.2. Grid classes . . . . . . . . . . . . . . . . . . . . . . . . . . . 121.3. Unstructured computational grids . . . . . . . . . . . . . . . 151.4. grid generation methods . . . . . . . . . . . . . 161.5. Methods based on the Delaunay criterion . . . . . . . . . . . 181.6. From Dirichlet to Delaunay . . . . . . . . . . . . . . . . . . . 221.7. Existence of 2D and 3D triangulations . . . . . . . . . . . . . 231.8. Overview of works regarding unstructured grid generation . . 24II. Parallelization and domain decomposition approaches 282.1. Need for parallelization of grid generation procedure . . . . . 282.2. Parallel computing . . . . . . . . . . . . . . . . . . . . . . . 292.3. A posteriori partitioning . . . . . . . . . . . . . . . . . . . . 302.4. A priori . . . . . . . . . . . . . . . . . . . . . . . 302.4.1. Types and criteria of domain decomposition . . . . . . 312.5. Overview of works regarding parallel mesh generation . . . .