A practical guide to direct optimization for planar grid-generation

DOI10.1016/S0898-1221(99)00118-2zbMath0947.65129OpenAlexW2079822545MaRDI QIDQ1963017

James S. Otto, José E. Castillo

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00118-2

zbMATH Keywords

complexityalignmentvector fieldmultigrid methodvariational grid generationfoldinglength functional

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

Related Items

A robust direct variational approach for generation of quadrangular and triangular grids on planar domains ⋮ An adaptive direct variational grid generation method ⋮ Solution adaptive direct variational grids for fluid flow calculations ⋮ A generalized length strategy for direct optimization in planar grid generation ⋮ The heat equation to generate planar grids ⋮ A class of network optimization methods for planar grid generation ⋮ An efficient dynamically adaptive mesh for potentially singular solutions ⋮ Steady state diffusion problems on non-trivial domains: Support operator method integrated with direct optimized grid generation ⋮ Numerical techniques for the transformation to an orthogonal coordinate system aligned with a vector field ⋮ Area control in generating smooth and convex grids over general plane regions

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