Newton linearization of the curvature operator in structured grid generation with sample solutions

DOI10.1155/2022/7266801zbMath1497.65207OpenAlexW4284969398WikidataQ114068029 ScholiaQ114068029MaRDI QIDQ2081883

Pat Piperni, Maahi M. Talukder

Publication date: 30 September 2022

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/7266801

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• PETSc

Cites Work

• Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation
• Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids
• A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation
• TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Elliptic grid generation based on Laplace equations and algebraic transformations
• An optimal mesh generator for Lagrangian hydrodynamic calculations in two space dimensions
• Development of a general finite difference approximation for a general domain. I: Machine transformation
• Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
• A simple scheme for generating general curvilinear grids
• The use of moving meshes in gas-dynamical computations
• Unnamed Item
• Unnamed Item
• Unnamed Item