A synopsis of elliptic PDE models for grid generation
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Publication:1093339
DOI10.1016/0096-3003(87)90018-XzbMath0628.65113OpenAlexW2005539547MaRDI QIDQ1093339
Publication date: 1987
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(87)90018-x
grid generationPoisson equations3D Laplaciansanalytical comparisonLaplace-Poisson systemsurface Beltramianssurface coordinates
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
- Basic differential models for coordinate generation
- Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes
- Numerical grid generation in arbitrary surfaces through a second-order differential-geometric model
- Adaptive zoning for singular problems in two dimensions
- Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
- Coordinate system control: Adaptive meshes
- Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
- 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
- RELAXATION METHODS APPLIED TO CONFORMAL TRANSFORMATIONS
- A note on the mathematical formulation of the problem of numerical coordinate generation
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