Three dimensional grid generation using biharmonics

DOI10.1016/0096-3003(82)90220-XzbMath0504.65067OpenAlexW2049207513MaRDI QIDQ1836292

A. B. Stephens, John B. Bell, Gregory R. Shubin

Publication date: 1982

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(82)90220-x

zbMATH Keywords

Gauss-Seidel iterationconjugate-gradient methodfinite difference gridsbiharmonicsthree dimensional grid generation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

A segmentation approach to grid generation using biharmonics, Conjugate method solutions of the biharmonic equation for the generation of boundary orthogonal grids, A finite element method for three-dimensional unstructured grid smoothing, An adaptive grid finite difference method for conservation laws

Cites Work

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• A segmentation approach to grid generation using biharmonics
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Some high accuracy difference with a Splitting operator for equations of parabolic and elliptic type
• The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods
• An Alternating Direction Method for Solving the Biharmonic Equation