Numerical Geometry, Grid Generation and Scientific Computing

This volume presents a selection of papers presented at the 11th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing held December 1214, 2022 in memory of Sergei Alexandrovich Ivanenko. The conference focuses on Voronoi-Delaunay theory and algorithms for tilings and partitions, mesh deformation and optimization, equidistribution principle, error analysis, discrete differential geometry, duality in mathematical programming and numerical geometry, mesh-based optimization and optimal control methods, iterative solvers for variational problems, as well as algorithm and software development.

The book provides an overview of recent advances in mesh generation and adaptation in terms of mathematical foundations, algorithm and software development, and applications.

Inhalt

Part I: Parameterizations and Structured Meshes.- Coordinate Transformations and Numerical Grids for Solving Problems with Hybrid Layers.- Parametrization of 2D Complex Regions using UNAMalla 6: A Block Structured Mesh Generator.- Texture Space Optimization via Harmonic Map.- Automatic Shape Design and Optimization of Missiles Based on Hex Mesh Generation and CFD Simulation.- Mesh Untangling for Problems with Topological Singularities.- Part II: CAX and Industrial Software.- Automatic Detection of Manufacturing Issues in CAD Parts for DFM Analysis.- Adaptive Mesh Refinement for Electromagnetic Simulation.- Part III: Numerical Methods.- A Semi-analytic Technique for Integration of the Newtonian Potential and its Gradient over Triangular Surface Grid Cells.- Dynamic Adaptive Moving Mesh Finite Volume Method for Navier-Stokes Equations.