Numerical Geometry, Grid Generation and Scientific Computing

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.

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• Análise numérica
• Matemática aplicada
• Optimização
• Geometria

Delaunay Triangulation;Finite Volume Method;Iterative Solvers;Mesh Adaptation;Mesh Generation;Numerical Geometry;Quasi-isometric Mapping;Variational Principle;Voronoi Diagram