Adaptive Simplicial Grids from Cross-sections of Monotone Complexes (1997)
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BibTeX
@MISC{Edelsbrunner97adaptivesimplicial,
author = {Herbert Edelsbrunner and Roman Waupotitsch},
title = {Adaptive Simplicial Grids from Cross-sections of Monotone Complexes},
year = {1997}
}
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Abstract
We study the maintenance of a simplicial grid or complex under changing density requirements. The proposed method works in any fixed dimension and generates grids by projecting cross-sections of a monotone simplicial complex that lives in one dimension higher than the grid. The density of the grid is adapted by locally moving the cross-section up or down along the extra dimension.
Keyphrases
adaptive simplicial grid monotone complex simplicial grid many application solution become extra dimension topological algorithm density change dynamic data structure differential equation geometric grid grid generation local density requirement first approximation fixed dimension monotone simplicial complex unstructured grid finite element analysis simplicial complex density requirement acyclic graph solid modeling approximate solution adaptive grid generates grid
