GEOMETRICALLY CONSISTENT MESH MODIFICATION

被引：16

作者：

Bonito, A. ^{[1
]}

Nochetto, R. H. ^{[2
,3
]}

Pauletti, M. S. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2010年 / 48卷 / 05期

基金：

美国国家科学基金会;

关键词：

mesh modification; manifold; parametric finite elements; accuracy preserving; geometric consistency; refinement; coarsening; smoothing; mean curvature; Willmore flow; FINITE-ELEMENT METHODS; WILLMORE FLOW; EQUATIONS; SURFACES; ALGORITHM; BISECTION;

D O I：

10.1137/100781833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new paradigm of adaptivity is to execute refinement, coarsening, and smoothing of meshes on manifolds with incomplete information about their geometry and yet preserve position and curvature accuracy. We refer to this collectively as geometrically consistent (GC) mesh modification. We discuss the concept of discrete GC, show the failure of naive approaches, and propose and analyze a simple algorithm that is GC and accuracy preserving.

引用

页码：1877 / 1899

页数：23

共 26 条

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[2]

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