Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

International Journal for Numerical Methods in Engineering

Volumn 79, Issue 11, 2009, Pages 1309-1331

  Geuzaine, Christophe ^a   Remacle, Jean François ^b  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Computer aided design; Finite element method; Mesh generation; Open source software; Post processing

Indexed keywords

DESIGN GOAL; FINITE ELEMENT GRID; FINITE ELEMENT MESH GENERATOR; MESHING TOOLS; OPEN-SOURCE; OPEN-SOURCE SOFTWARE; ORIGINAL ALGORITHMS; POST-PROCESSING; POST-PROCESSOR;

COMPUTER AIDED DESIGN; COMPUTER SOFTWARE; MESH GENERATION; PHILOSOPHICAL ASPECTS; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 67650149648     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2579     Document Type: Article

References (58)

1. 1. Dular P, Geuzaine C. Get DP: a general environment for the treatment of discrete problems, 1997. Available from: http://www.geuz.org/getdp/.
2. SDRC. I-DEAS Master Series, SDRC, 1993.
3. Muuss M. BRL-CAD, Army Research Laboratory, 1984.
4. Shewchuk JR. Triangle: engineering a 2D quality mesh generator and Delaunay triangulator. Applied Computational Geometry: Towards Geometric Engineering, Lecture Notes in Computer Science, vol. 1148. Springer: Berlin, 1996; 203-222.
5. Vavasis S. QMG: mesh generation and related software, 1995. Available from: http://www.cs.cornell.edu/home/vavasis/qmg-home.html.
6. Joe B. GEOMPACK-a software package for the generation of meshes using geometric algorithms. Advances in Engineering Software 1991; 13:325-331.
7. Ollivier-Gooch CF. GRUMMP-generation and refinement of unstructured, mixed-element meshes in parallel, 1998. Available from: http://tetra.mech.ubc.ca/GRUMMP/.
8. Ortega F. GMV: the general mesh viewer, 1996. Available from: http://www-xdiv.lanl.gov/XCM/gmv/GMVHome.html.
9. Schöberl J. Netgen, an advancing front 2d/3d-mesh generator based on abstract rules. Computing and Visualization in Science 1997; 1:41-52.
10. Dhondt G, Wittig K. Calculix: a free software three-dimensional structural finite element program, 1998. Available from: http://www.calculix.de.
11. Segal M, Akeley K. The OpenGL graphics system: a specification. Technical Report, Silicon Graphics Computer Systems, 1992.
12. Heller D, Ferguson PM, Brennan D. Motif Programming Manual, vol. 6A (2nd edn). O'Reilly, 1994.
13. Spitzak B. FLTK, the fast light tool kit, 2008. Available from: http://www.fltk.org.
14. GNU. The GNU general public license, 1988. Available from: http://www.gnu.org/licenses/gpl.html.
15. Geuzaine C, Remacle J-F. Gmsh: a finite element mesh generator with built-in pre- and post-processing facilities, 1996. Available from: http://www.geuz.org/gmsh/.
16. Stroustrup B. The C++ Programming Language. Addison-Wesley: Reading, MA, 1997.
17. Dongarra J. A set of level 3 basic linear algebra subprograms. ACM Transactions on Mathematical Software (TOMS) 1990; 16(1):1-17.
18. Anderson E, Bai Z, Bischof C, Blackford S, Demmel J, Dongarra J, Du Croz J, Greenbaum A, Hammarling S, McKenney A, Sorensen D. LAPACK Users' Guide (3rd edn). SIAM: Philadelphia, PA, 1999.
19. Strauss PS. IRIS Inventor, a 3D graphics toolkit. ACM SIGPLAN Notices 1993; 28(10):192-200.
20. Schroeder W, Martin K, Lorensen B. The Visualization Toolkit. Prentice-Hall: Englewood Cliffs, NJ, 1998.
21. Vinoski S. CORBA: integrating diverse applications within distributed heterogeneous environments. IEEE Communications Magazine 1997; 35(2):46-55.
22. Levine JR, Mason T, Brown D. Lex & Yacc. O'Reilly, 1992.
23. Shewchuk JR. Robust adaptive floating-point geometric predicates. Annua Symposium on Computational Geometry, Proceedings of the Twelfth Annual Symposium on Computational Geometry, Philadelphia, PA, U.S.A., 1996; 141-150. ISBN: 0-89791-804-5. DOI: http://doi.acm.org/10.1145/237218.237337.
24. Debian. Debian linux, 2008. Available from: http://www.debian.org.
25. Paul B. The Mesa 3D graphics library, 1995. Available from: http://www.mesa3d.org/.
26. Open CASCADE S.A.S. Open cascade, 2008. http://www.opencascade.org.
27. Siemens PLM Software. Parasolid, Available from: 2008. http://www.parasolid.com.
28. Si H. Tetgen a quality tetrahedral mesh generator and three-dimensional Delaunay triangulator, 2004. Available from: http://tetgen.berlios.de/.
29. Vaughan GV, Tromey T. GNU Autoconf, Automake and Libtool. New Riders Publishing, 2000.
30. Geuzaine C. GL2PS: an OpenGL to PostScript printing library, 2000. Available from: http://www.geuz.org/gl2ps/.
31. Dassault Systèmes. Catia, 2008. Available from: http://www.3ds.com.
32. Haimes R. CAPRI: computational analysis programming interface (a solid modeling based infra-structure for engineering analysis and design). Technical Report, Massachusetts Institute of Technology, 2000.
33. Beall MW, Shephard MS. A general topology-based mesh data structure. International Journal for Numerical Methods in Engineering 1997; 40(9):1573-1596.
34. Hecht F. Bamg: bidimensional anisotropic mesh generator, 2006. Available from: http://www.freefem.org/ff++.
35. Laug P, Borouchaki H. Blsurf-mesh generator for composite parametric surfaces-user's manual. Technical Report, INRIA, France, 1999.
36. George P-L, Frey P. Mesh Generation. Hermes, 2000.
37. Pebay PP, Baker TJ. Analysis of triangle quality measures. Mathematics of Computation 2003; 72(244):1817-1839.
38. Liu A, Joe B. Relationship between tetrahedron shape measures. BIT Numerical Mathematics 1994; 34(2): 268-287.
39. Piegl L, Tiller W. The Nurbs Book. Springer: Berlin, 1997.
40. Frey PJ. About surface remeshing. Ninth International Meshing Roundtable, 2000.
41. Bechet E, Cuillere J-C, Trochu F. Generation of a finite element mesh from stereolithography (STL) files. Computer-Aided Design 2002; 34(1):1-17.
42. Yerry MA, Shephard MS. Automatic three-dimensional mesh generation by the modified-octree technique. International Journal for Numerical Methods in Engineering 1984; 20(11):1965-1990.
43. George P-L, Borouchaki H. Delaunay Triangulation and Meshing: Application to Finite Elements. Hermes, 1998.
44. Cuilliere J-C. An adaptive method for the automatic triangulation of 3d parametric surfaces. Computer-Aided Design 1998; 2:139-149.
45. Shimada K, Yamada A, Itoh T. Anisotropic triangular meshing of parametric surfaces via close packing of ellipsoidal bubbles. Sixth International Meshing Roundtable, 1997; 375-390.
46. Lo H, Wang WX. Generation of anisotropic mesh by ellipse packing over an unbounded domain. Engineering with Computers 2005; 20(4):372-383.
47. Rebay S. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. Journal of Computational Physics 1993; 106:25-138.
48. Li X. Mesh modification procedure for general 3-D non-manifold domains. Ph.D. Thesis, Renselear Polytechnic Institute, 2003.
49. Li X, Remacle J-F, Chevaugeon N, Shephard MS. Anisotropic mesh gradation control. Thirteenth International Meshing Roundtable, 2004.
50. Remacle J-F, Li X, Shephard MS, Flaherty JE. Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods. International Journal for Numerical Methods in Engineering 2005; 62(7): 899-923.
51. Dwyer RA. A simple divide-and-conquer algorithm for computing Delaunay triangulations in o(n log log n) expected time. Proceedings of the Second Annual Symposium on Computational Geometry, 1986; 276-284.
52. Weatherill NP. The integrity of geometrical boundaries in the two-dimensional Delaunay triangulation. Communications in Applied Numerical Methods 1990; 6(2):101-109.
53. Freitag LS, Ollivier-Gooch C. Tetrahedral mesh improvement using face swapping and smoothing. International Journal for Numerical Methods in Engineering 1998; 40(21):3979-4002.
54. George P-L, Hecht F, Saltel E. Automatic mesh generator with specified boundary. Computer Methods in Applied Mechanics and Engineering 1991; 92(3):269-288.
55. Watson DF. Computing the n-dimensional Delaunay tessellation with application to vorono polytopes. The Computer Journal 1981; 24(2):167-175.
56. Lambrechts J, Comblen R, Legat V, Geuzaine C, Remacle J-F. Multiscale mesh generation on the sphere. Ocean Dynamics 2008; 58:461-473.
57. Berger KA, Kubicek B. Magnetic field of a 30kV/400V-substation. Private communication, Arsenal Research, Austria, 2008.
58. Remacle J-F, Marchandise E, Chevaugeon N, Geuzaine C. Efficient visualization of high-order finite elements. International Journal for Numerical Methods in Engineering 2007; 69(4):750-771.