Numerical geometry, grid generation and scientific computing : proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 2018 /: proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 2018. (2019)

• Record Type: Book
• Other Titles: NUMGRID 2018
• Further Information: Note: Vladimir A. Garanzha, Lennard Kamenski, Hang Si, editors.
• Editors: Garanzha, Vladimir A; Kamenski, Lennard; Si, Hang
• Other Names: International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, 9th
• Contents: Intro; Foreword; Preface; Conference Organization; Organizers; Organizing Committee; Program Committee; Web Site; Reviewers; Contents; Part I Voronoi Meshing: Theory, Algorithms, and Applications; Secondary Power Diagram, Dual of Secondary Polytope; 1 Introduction; 1.1 Basic Terminologies; 1.1.1 Secondary Polytope; 1.1.2 Primary Power Diagram; 1.1.3 Alexandrov Power Diagram Space; 1.2 Main Result: Secondary Power Diagram; 1.3 Contributions; 2 Secondary Polytope; 3 Convex Geometry; 3.1 Minkowski and Alexandrov Theorems; 4 Secondary Power Diagram 5 Transition Between Weighted Delaunay Triangulations6 Conclusion; Appendix; Proof of 21 Convexity of Secondary Polytope; Proof of 22 Complete Fan Structure; Proof of 23 Transformations Among Triangulations; Example of Secondary Power Diagram; References; Structured Orthogonal Near-Boundary Voronoi Mesh Layers for Planar Domains; 1 Introduction; 1.1 Definition of a Multimaterial Implicit Domain; 1.2 Voronoi Mesh in an Implicit Domain; 2 Voronoi Meshing Algorithm Based on Self-organization of Elastic Network; 2.1 Elastic Potential; 2.2 ``Elastic Forces'' and Practical Iterative Algorithm 3 Numerical Experiments4 Discussion; References; Why Do We Need Voronoi Cells and Delaunay Meshes?; 1 Introduction; 2 Delaunay Meshes, Voronoi Volumes, and Boundary Conforming Delaunay; 3 Voronoi Finite Volumes and Their Essential Properties; 3.1 Voronoi Finite Volume Equations; 3.2 Compensation and the S-Matrix Property; 3.3 Continuous Dependence on Vertex Positions; 3.4 Maximum Principle and Dissipativity; 3.5 The Effect of Non-Delaunay Meshes for the Laplace Operator; 3.6 Example in a More General Setting; 4 Concluding Remarks; References A Simple Algorithm to Triangulate a Special Class of 3d Non-convex Polyhedra Without Steiner Points1 Introduction; 2 Monotone Sequence of Directed Flips; 3 Structural Properties of the Directed Flip Graph; 4 Triangulating 3d Non-convex Polyhedra; 4.1 The Input Polyhedra; 4.2 The Triangulation Algorithm; 4.3 Termination and Running Time; References; Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes; 1 Introduction; 2 Electrolyte Model with Ion Volume Constraints; 3 Numerical Methods; 4 Ionic Current Rectification in a Conical Nanopore 5 Summary and DiscussionReferences; Part II Mesh Optimization; Generation of Block Structured Grids on Complex Domains for High Performance Simulation; 1 Introduction; 2 BSG Generation; 2.1 Block Structure Generation; 2.1.1 Positioning of New Vertices; 2.1.2 Quad Mesh Generation; 2.1.3 Simplification Post-Processing and Uniform Refinement; 2.2 Boundary and Density Adaption; 3 Results; 4 Discussion and Outlook; References; On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes; 1 Introduction; 2 On maximum Angle Conditions and Their Equivalence; 3 Final Comments
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (xxi, 320 pages), illustrations (some color)
• Subjects: 516.22; Voronoi polygons -- Congresses; Science -- Data processing -- Congresses; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030234362; 3030234363
• Related ISBNs: 9783030234355
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed October 16, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.