A PDE based approach to multidomain partitioning and quadrilateral meshing

Proceedings of the 21st International Meshing Roundtable, IMR 2012

Volumn , Issue , 2013, Pages 137-154

  Kowalski, Nicolas ^a   Ledoux, Franck ^a   Frey, Pascal ^b  

^a DIF   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Elliptic; Finite element methods; Mesh generation; Multidomain; Partial differential equations; Partitioning; Quadrilateral

Indexed keywords

FINITE ELEMENT METHOD; PARTIAL DIFFERENTIAL EQUATIONS;

CONSTRAINED PROBLEM; ELLIPTIC; GEOMETRIC PROPERTIES; MULTI DOMAINS; PARTITIONING; PDE-BASED APPROACHES; QUADRILATERAL; QUADRILATERAL MESHING;

MESH GENERATION;

EID: 84878935253     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-33573-0_9     Document Type: Conference Paper

References (22)

1. Cook, R.D., Malkus, D.S., Plesha, M.E.: Concepts and Applications of Finite Element Analysis, 3rd edn. Wiley, New York (1989)
2. Faux, I.D., Pratt, M.J.: Computational geometry for design and manufacture. Ellis Horwood, Chichester (1979)
3. Whiteley, M., White, D., Benzley, S., Blacker, T.: Two and Three-Quarter Dimensional Meshing Facilitators. Engineering With Computers 12, 144-145 (1994)
4. Schneiders, R.: A grid-based algorithm for the generation of hexahedral element meshes. Engineering with Computers 12, 168-177 (1996)
5. Staten, M.L., Owen, S.J., Blacker, T.: Unconstrained Paving and Plastering: A New Idea for All Hexahedral Mesh Generation. In: Proceedings of the International Meshing Roundtable, vol. 14, pp. 399-416 (2005)
6. Borouchaki, H., Frey, P.J.: Adaptive triangular-quadrilateral mesh generation. International Journal for Numerical Methods in Engineering 41, 915-934 (1998)
7. Owen, S.J., Staten, M.L., Canann, S.A., Saigal, S.: Q-morph: An indirect approach to advancing front quad meshing. International Journal for Numerical Methods in Engineering 44, 1317-1340 (1999)
8. Lévy, B., Liu, Y.: Lp Centroidal Voronoi Tesselation and its Applications. ACM Transactions on Graphics (2010)
9. Kowalski, N., Ledoux, F., Staten, M.L., Owen, S.J.: Fun sheet matching: towards automatic block decomposition for hexahedral meshes. Engineering with Computers (2010)
10. Lindquist, D.R., Gilest, M.B.: A comparison of numerical schemes on triangular and quadrilateral meshes. In: 11th Int. Conf. on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol. 323, pp. 369-373 (1989)
11. Tam, T.K.H., Armstrong, C.G.: 2D finite element mesh generation by medial axis subdivision. In: Advances in Engineering Software and Workstations, vol. 13, pp. 313-324 (1991)
12. Remacle, J.F., Lambrechts, J., Seny, B., Marchandise, E., Johnen, A., Geuzaine, C.: Blossom-quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm. International Journal for Numerical Methods in Engineering (2012)
13. Ray, N., Vallet, B., Li, W., Lévy, B.: N-symmetry direction field design. ACM Transactions on Graphics (2008)
14. Palacios, J., Zhang, E.: Rotational symmetry field design on surfaces. ACM Transactions on Graphics (2007)
15. Saad, Y.: Iterative methods for sparse linear systems. SIAM (2003)
16. Alouges, F.: A new algorithm for computing liquid crystal stable configurations: the harmonic mapping case. SIAM Journal on Numerical Analysis 34, 1708-1720 (1997)
17. Bramble, J.H.: The Lagrange multiplier method for Dirichlet's problem. Mathematics of Computation 37 (1981)
18. Helman, J.L., Hesselink, L.: Vizualizing Vector Field Topology in Fluid Flows. IEEE Computer Graphics and Applications 11, 36-46 (1991)
19. Tricoche, X., Scheuermann, G., Hagen, H.: Continuous Topology Simplification of Planar Vector Fields. In: Proceedings of IEEE Visualization 2001, pp. 159-166 (2001)
20. Ascher, U.M., Petzold, L.R.: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM (1998)
21. White, D.R.: Automated Hexahedral Mesh Generation by Virtual Decomposition. In: Proceedings, 4th International Meshing Roundtable 1995, pp. 165-176 (1995)
22. Geuzaine, C., Remacle, J.F.: Gmsh: a three-dimensional finite element mesh generator with built-in pre-and post-processing facilities. International Journal for Numerical Methods in Engineering 79, 1309-1331 (2009)