Generation of quasi-optimal meshes based on a posteriori error estimates

被引：8

作者：

Agouzal, Abdellatif ^{[1
]}

Lipnikov, Konstantin ^{[2
]}

Vassilevski, Yuri ^{[3
]}

机构：

[1] Univ Lyon 1, Anal Numer Lab, F-69622 Villeurbanne, France

[2] Los Alamos Natl Lab, Los Alamos, NM USA

[3] Inst Numer Math, Moscow 119333, Russia

来源：

PROCEEDINGS OF THE 16TH INTERNATIONAL MESHING ROUNDTABLE | 2008年

关键词：

D O I：

10.1007/978-3-540-75103-8_8

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study methods for recovering tensor metrics from given error estimates and properties of meshes which are quasi-uniform in these metrics. We derive optimal upper and lower bounds for the global error on these meshes. We demonstrate with numerical experiments that the edge-based error estimates are preferable for recovering anisotropic metrics than the conventional element-based errors estimates.

引用

页码：139 / +

页数：3

共 17 条

[1]

Agouzal A., 1999, E W J NUMER MATH, V7, P223

[2]

Buscaglia GC, 1997, INT J NUMER METH ENG, V40, P4119, DOI 10.1002/(SICI)1097-0207(19971130)40:22<4119::AID-NME254>3.0.CO

[3]

2-R

[4]

Chen L, 2006, MATH COMPUT, V76, P179

[5] OPTIMAL TRIANGULAR MESH GENERATION BY COORDINATE TRANSFORMATION [J].

DAZEVEDO, EF .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1991, 12 (04) :755-786

[6] Anisotropic mesh adaptation for CFD computations [J].

Frey, PJ ;

Alauzet, F .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (48-49) :5068-5082

[7]

GEORGE PM, 1991, AUTOMATIC MESH GEN

[8] A fews snags in mesh adaptation loops [J].

Hecht, F .

Proceedings of the 14th International Meshing Roundtable, 2005, :301-311

[9] Metric tensors for anisotropic mesh generation [J].

Huang, WZ .

JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 204 (02) :633-665

[10] Algebraic mesh quality metrics [J].

Knupp, PM .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 23 (01) :193-218

← 1 2 →