Adaptive discrete harmonic grid generation

DOI10.1016/j.matcom.2007.04.015zbMath1161.65088OpenAlexW1999769834MaRDI QIDQ1005668

Angel Pérez Domínguez, Guilmer F. González Flores, Longina Castellanos Noda, Pablo Barrera-Sánchez, Francisco Javier Domínguez-Mota

Publication date: 9 March 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.04.015

zbMATH Keywords

numerical examplesvariational grid generationadaptive gridsstructured gridsquasi-harmonic grids

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

A meshless finite difference scheme applied to the numerical solution of wave equation in highly irregular space regions ⋮ Harmonic hexahedral structured grid generation ⋮ Finite difference schemes satisfying an optimality condition for the unsteady heat equation ⋮ Power management improvement of hybrid energy storage system based on \(\mathrm{H} \infty\) control

Uses Software

• UNAMALLA

Cites Work

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• Mathematical aspects of variational grid generation. II
• Adaptive zoning for singular problems in two dimensions
• Smooth and convex grid generation over general plane regions
• A variational form of the Winslow grid generator
• Adaptive grids and grids on surfaces
• Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
• Variational grid generation
• Curvilinear grids of convex quadrilaterals
• Domain Deformation Mapping: Application to Variational Mesh Generation
• A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms
• Newton's Method for Large Bound-Constrained Optimization Problems

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