Synthese de quelques methodes de generation de maillages Elements finis
Keywords:
meshes generation, Finite ElementAbstract
this paper describes some practical approaches to be used for the purpose of generation of meshes related to Finite Element computation of physical problems discretised in terms ofP.D.E ..
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[BAK 88] T .J. BAKER, Generation of tetrahedral meshes around complete
aircraft, Numerical grid generation in computational fluid mechanics '88,
Miami, 1988.
[CAV 74] J .C. CAVENDISH, Automatic triangulation of arbitrary planar
domains for the finite element method, Int. Jour. Num. Meth. Eng., vol
, 1974.
(3] (CAV 85] J.C. CAVENDISH, D.A. FIELD, W.H. FREY, An approach to
automatic 3D finite element mesh generation, Int. Jour. Num. Meth. Eng.,
vol 21, 1985.
(4] (CHE 88] J.H. CHENG, P.M. FINNIGAN, A.F. HATHAWAY, A. KELA,
W .J. ScHOEDER, Quadtreefoctree meshing with adaptive analysis, Numerical
grid generation in computational fluid mechanics '88, Miami, 1988.
[CIA 78] P .G. CIARLET, The finite element method for elliptic problem,
North Holland, 1978.
[COU 87] J .L. CouLOMB, Maillages 2D et 3D. Experimentation de Ia triangulation
de Delaunay, Con f. on Automated mesh generation and adaptation,
Grenoble, 1987.
[GEO 89] P.L. GEORGE, Mailleur 3D par decoupage structure d'elements
grossiers, RR INRIA n° 990, 1989.
[GEO 89a] P.L. GEORGE, La conception descendante appliquee ida realisation
concrete des maillages, RT INRIA n° 107, 1989.
[GEO 91] P .L. GEORGE, Generation automatique de mail/age. Applications
aux methodes d'elements finis, Masson, RMA n° 16, Paris, 1991.
Also as Automatic mesh generation. Applications to finite element methods,
Wiley, 1991.
[GEO 91b] P.L. GEORGE, Generation de maillages par une methode de
type Voronol, RR INRIA n° 1398, 1991.
[GEO 92] P.L. GEORGE, Generation de maillages par une methode de
type Voronol. Partie 2: Le cas tridimensionnel, RR INRIA n° 1664, 1992.
[GEO 93] P.L. GEORGE, Mailleurs automatiques et adaptation, soumis
a Colloque national en calcul des structures, Giens, 1993.
[GEO 93a] P.L. GEORGE, Automatic mesh generation and finite element
computation, in: P.G. Ciarlet and J .L. Lions, ed., Finite Element Methods,
Handbook of Numerical Analysis, vol IV, North-Holland, a paraitre.
(14] (GEG 88] P.L. GEORGE, A. GoLGOLAB, Mailleur 3D en topologie "cylindrique",
RT IN RIA n° 100, 1988.
(15] (GES 92] P.L. GEORGE, E. SALTEL, Post-traitements et graphiques,
Guide Modulefn° 6, INRIA, 1992.
(GHS 90] P.L. GEORGE, F. HECHT, E. SALTEL, Fully automatic mesh
generator for 3d domains of any shape, Impact of Comp. in Sci. and Eng.,
, pp 187-218, 1990.
(17] (GHS 91] P.L. GEORGE, F. HECHT, E. SALTEL, Automatic mesh generator
with specified boundary, Comp. Meth. in Appl. Mech. and Eng., vol
, pp. 269-288, 1991.
(GHV 91] P.L. GEORGE, F. HECHT, M.G. VALLET, Creation of internal
points in Voronoi's type method, Control and adaptation, Adv. in Eng.
Soft., 13, n° 5/6, pp. 303-313, 1991.
(GEH 92] P.L. GEORGE, F. HERMELINE, Delaunay's mesh of a convex
polyhedron in dimension d. Application to arbitrary polyhedra, Int. Jour.
Num. Meth. Eng., vol 33, pp. 975-995, 1992.
[GEP 92] P.L. GEORGE, P. LAUG, Normes d'utilisation et de programmation,
Guide Modulefn° 2, INRIA, 1992.
[GSE 92] P.L. GEORGE, E. SEVENO, Generation de maillages par une
methode de type frontal, RR INRIA n° 1725, 1992.
[GOL 89] A. GOLGOLAB, Mailleur tridimensionnel automatique pour des
geometries complexes, RR INRIA n° 1004, 1989.
[HES 90] F. HECHT, E. SALTEL, Emc2 : Editeur de maillages et de
contours bidimensionnels, Manuel d'utilisation, RT INRIA n° 118, 1990.
[HER 82] F. HERMELINE, Triangulation automatique d'un polyedre en
dimension N, Rairo, Analyse numerique, vol 16, n° 3, 1982.
[HOL 88] K. Ho LE, Finite element mesh generation' methods: a review
and classification, Comp. Aided Design 20, 27-38, 1988.
[LOP 88] R. LOHNER, P. PARIKH, Generation of 3D unstructured grids
by advancing front method, AIAA 26 Aerospace Sciences meeting, Reno
Nevada, 1988.
[MAV 92] D.J. MAVRIPLIS, An advancing front Delaunay triangulation
algorithm designed for robustness, lease Report no 92-49, 1992.
[PEZ 88] J. PERAIRE, J. PEIRO, L. FORMAGGIA, K. MORGAN, O.C.
ZIENKIEWICZ, Finite element Euler computations in three dimensions,
Int. Jour. Num. Meth. Eng., vol 26, pp 2135-2159, 1988.
[PER 83] A. PERRONNET, Logical and physical representation of an object,
modularity for the programming of finite element methods, in IFIP
Working Group on Numerical Software, Soderkoping (Sweden), 1983.
[PER 88] A. PERRONNET, A generator of tetrahedral finite elements for
multi-material object and fluids, Numerical grid generation in computational
fluid mechanics'88, Miami, 1988.
[SIIB 88] M.S. SHEPHARD, F. GUERINONI, J .E. FLAHERTY, R.A. LUDWIG,
P.L. BAEHMANN, Finite octree mesh generation for automated
adaptive 3D flow analysis, Numerical grid generation in computational
fluid mechanics'88, Miami, 1988.
[TAL 87] J. Y. TALON, Algorithmes d'amelioration de maillages pour elements
finis en 2 et 3 dimensions, Con f. on Automated mesh generation
and adaptation, Grenoble, 1987.
[THO 82] J .F. THOMPSON, Numerical grids generation, North Holland,
[VAL 92] M.G. VALLET, Generation de maillages elements finis
anisotropes et adaptatifs, These, Universite Paris 6, 1992.
[WAT 81] D.F. WATSON, Computing the n-dimensionnal Delaunay tesselation
with applications to Voronoi polytopes, Computer Journa/24 (2),
[WEA 90] N .P. WEATHERILL, The integrity of geometrical boundaries in
the 2-dimensional Delaunay triangulation, Comm. in Appl. Num. Meth.,
vol 6, pp 101-109, 1990.
[YES 84) M.A. YERRI, M.S. SHEPHARD, Automatic 3D mesh generation
by the modified-octree technique, Int. Jour. Num. Meth. Eng., vol 20,
[ZZH 91) J.Z. ZHU, O.C. ZIENKIEWICZ, E. HINTON, J. Wu, A new
approach to the development of automatic quadrilateral mesh generation,
Int. Jour. Num. Meth. Eng. 32, pp 849-866, 1991.
