Efficient representation of computational meshes

International Journal of Computational Science and Engineering

Volumn 4, Issue 4, 2009, Pages 283-295

  Logg, Anders ^a  

^a UNIVERSITY OF OSLO   (Norway)

Author keywords

Mesh; Mesh algorithms; Mesh entity; Mesh representation; Parallel assembly

Indexed keywords

DATA STRUCTURES; DIGITAL STORAGE; MESH GENERATION;

COMPUTATIONAL MESH; MESH; MESH ALGORITHMS; MESH ENTITY; MESH REPRESENTATION; STORAGE SCHEMES; TOPOLOGICAL DIMENSIONS; VARIATIONAL FORM;

COMPUTATIONAL EFFICIENCY;

EID: 70749083419     PISSN: 17427185     EISSN: 17427193     Source Type: Journal    
DOI: 10.1504/IJCSE.2009.029164     Document Type: Article

References (19)

1. Alnæs, M.S., Langtangen, H.P., Logg, A., Mardal, K-A. and Skavhaug, O. (2007a) UFC, URL: http://www.fenics.org/ufc/
2. Alnæs, M.S., Langtangen, H.P., Logg, A., Mardal, K-A. and Skavhaug, O. (2007b) UFC Specification and User Manual, URL: http://www.fenics.org/ufc/
3. Alnæs, M.S., Langtangen, H.P., Logg, A., Mardal, K-A. and Skavhaug, O. (2008) 'Unified framework for finite element assembly', Submitted to International Journal of Computational Science and Engineering.
4. Balay, S., Gropp, W.D., McInnes, L.C. and Smith, B.F. (1997) 'Efficient management of parallelism in object oriented numerical software libraries', in Arge, E., Bruaset, A.M. and Langtangen, H.P. (Eds.): Modern Software Tools in Scientific Computing, Birkhäuser Press, pp.163-202.
5. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M.G., McInnes, L.C., Smith, B.F. and Zhang, H. (2004) PETSc Users Manual, Tech. Rep. ANL-95/11 - Revision 2.1.5, Argonne National Laboratory.
6. Berti, G. (2002) 'Generic programming for mesh algorithms: Towards universally usable geometric components', Proceedings of the Fifth World Congress on Computational Mechanics, July, Vienna University of Technology.
7. Berti, G. (2006) 'GrAL - the grid algorithms library', Future Generation Computer Systems, p.22.
8. Dupont, T., Hoffman, J., Johnson, C., Kirby, R.C., Larson, M.G., Logg, A. and Scott, L.R. (2003) The FEniCS Project, Tech. Rep. 2003-21, Chalmers Finite Element Center Preprint Series.
9. FEniCS (2008) FEniCS Project, URL: http://www.fenics.org/
10. Hughes, T.J.R. (1987) The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ.
11. Karypis, G. and Kumar, V. (1998a) 'A fast and high quality multilevel scheme for partitioning irregular graphs', SIAM J. Sci. Comput., Vol. 20, pp.359-392.
12. Karypis, G. and Kumar, V. (1998b) MeTis: Unstructured Graph Partitioning and Sparse Matrix Ordering System, Version 4.0.
13. Knepley, M.G. and Karpeev, D.A. (2007) Mesh Algorithms for PDE with Sieve I: Mesh Distribution, Technical Report ANL/MCS-P1455-0907, Argonne National Laboratory, February, Submitted to Scientific Programming.
14. Langtangen, H.P. (1999) 'Computational partial differential equations - numerical methods and Diffpack programming', Lecture Notes in Computational Science and Engineering, Springer, Berlin.
15. Logg, A. (2007) 'Automating the finite element method', Arch. Comput. Methods Eng., Vol. 14, pp.93-138.
16. Logg, A. and Wells, G.N. (2009) 'DOLFIN: Automated finite element computing', Submitted to ACM Transactions on Mathematical Software.
17. Pellegrini, F. (2004) 'Native mesh ordering with SCOTCH 4.0', Proceedings of VECPAR'04, June, Valencia, Spain, soumis.
18. Vikstrøm, G.M. (2008) Parallelization Strategies for DOLFIN, MSc Thesis, Department of Informatics, University of Oslo.
19. Zienkiewicz, O.C., Taylor, R.L. and Zhu, J.Z. (1967) The Finite Element Method - Its Basis and Fundamentals, 6th ed., Elsevier, 2005, first published in 1967.