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Performance Boundaries for Interactive Finite Element Applications
Abstract:This paper presents work characterizing finite element performance boundaries within which live, interactive finite element modeling is feasible on current and emerging systems. These results are based on wide-ranging tests performed using a prototype finite element program implemented specifically for this study, thereby enabling the unified investigation of numerous direct and iterative solver strategies and implementations in a variety of modeling contexts. The results are intended to be useful for researchers interested in interactive analysis by providing baseline performance estimates, to give guidance in matching solution strategies to problem domains, and to spur further work addressing the challenge of extending the present boundaries.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1073174Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1015
 A. Lindblad, "Increasing the functionality of finite element based surgical suturing simulators," Ph.D. dissertation, University of Washington, 2006.
 A. George and J. W.-H. Liu, Computer solution of large sparse positive definite systems. Prentice Hall, Inc., 1981.
 R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. V. der Vorst, Templates for the solution of linear systems: Building blocks for iterative methods, 2nd ed. Siam, 1994.
 J. W. Demmel, Applied numerical linear algebra. Siam, 1997.
 W. L. Briggs, V. E. Henson, and S. F. McCormick, A multigrid tutorial, 2nd ed. Siam, 2000.
 Y. Saad, Iterative methods for sparse linear systems, 2nd ed. Siam, 2003.
 E. Cuthill and J. McKee, "Reducing the bandwidth of sparse symmetric matrices," in Proc. 24th Nat. Conf. ACM, 1969, pp. 157-172.
 P. R. Amestoy, T. A. Davis, and I. S. Duff, "An approximate minimum degree ordering algorithm," Siam J. Matrix Anal. Appl., vol. 17, no. 4, pp. 886-905, 1996.
 G. Karypis, METIS, http://glaros.dtc.umn.edu/gkhome/metis/metis/overview, 2006.
 G. R. Miller, P. Arduino, J. Jang, and C. Choi, "Localized tensor-based solvers for interactive finite element applications using C++ and Java," Comput. Struct., vol. 81, no. 7, pp. 423-437, 2003.
 M. D. Rucki and G. R. Miller, "An algorithmic framework for flexible finite element-based structural modeling," Comp. Meth. Appl. Mech. Engrg., vol. 36, no. 3-4, pp. 363-384, 1996.
 G. R. Miller, "Coordinate-free isoparametric elements," Comput. Struct., vol. 49, pp. 1027-1035, 1993.
 R. C. Whaley, A. Petitet, and J. J. Dongarra, "Automated empirical optimizations of software and the ATLAS project," Parallel Comput., vol. 27, no. 1-2, pp. 3-35, 2001.
 K. Goto, GotoBLAS, Texas Advanced Computing Center, Univ. of Texas at Austin, 2006, http://www.tacc.utexas.edu/resources/software/software.php.
 K. A. Remington and R. Pozo, NIST Sparse BLAS, National Institute of Standards and Technology, 1996, http://math.nist.gov/spblas.
 J. J. Dongarra, Basic linear algebra subprograms technical (BLAST) forum standard, Univ. of Tennessee, Knoxville, Aug. 2001, http://www.netlib.org/blas/blast-forum/.
 E. Anderson, Z. Bai, C. Bischof, S. Blackford, and J. Demmel, LAPACK users- guide, 3rd ed., Siam, 1999, http://www.netlib.org/lapack/.
 P. R. Amestoy, T. A. Davis, and I. S. Duff, AMD version 2.0 user guide, Dept. of Computer and Information Science, Univ. of Florida, 2006, http://www.cise.ufl.edu/research/sparse/amd.
 T. A. Davis and W. W. Hager, "Dynamic supernodes in sparse cholesky update/downdate and triangular solves," CISE Dept, Univ. of Florida, Tech. Rep. TR-2006-004, 2006, http://www.cise.ufl.edu/research/sparse/cholmod.
 T. A. Davis, UMFPACK version 5.0 user guide, Dept. of Computer and Information Science, Univ. of Florida, May. 2006, http://www.cise.ufl.edu/research/sparse/umfpack.
 J. W. Demmel, J. R. Gilbert, and X. S. Li, SuperLU user-s guide, Univ. of California at Berkeley, 1999, http://www.cs.berkeley.edu/ demmel/ SuperLU.html.
 S. Balay, K. Buschelman, V. Eijkhout, W. D. Gropp, D. Kaushik, M. G. Knepley, L. C. McInnes, B. F. Smith, and H. Zhang, "PETSc users manual," Argonne National Laboratory, Tech. Rep. ANL-95/11 - Revision 2.1.5, 2004.
 J. W. Jang, "Characterization of live modeling performance boundaries for computational structural mechanics," Ph.D. dissertation, University of Washington, 2007.
 S. S. Skiena, The algorithm design manual. Springer-Verlag New York, Inc., 1998.
 D. A. Patterson and J. L. Hennessy, Computer organization and design: The hardware/software interface, 3rd ed. Morgan Kaufmann Publishers, 2005.
 SPEC Team, SPEC CPU2000 v1.3 documentation, Standard Performance Evaluation Corporation, 2001, http://www.spec.org/cpu2000.
 C. A. Felippa, "A study of optimal membrane triangles with drilling freedoms," University of Colorado, Tech. Rep. CU-CAS-03-02, 2003.
 H. Si, TetGen: A quality tetrahedral mesh generator and three-dimensional delaunay triangulator version 1.4, Jan. 2006, http://tetgen.berlios.de/.
 S. Balay, K. Buschelman, W. D. Gropp, D. Kaushik, M. G. Knepley, L. C. McInnes, B. F. Smith, and H. Zhang, "PETSc Web page," 2001, http://www.mcs.anl.gov/petsc.
 D. Bailey, T. Harris, and W. Saphir, "The NAS parallel benchmark 2.0," NASA Ames Research Center, Tech. Rep. NAS-95-020, 1995.
 S. W. Key and C. C. Hoff, "An improved constant membrane and bending stress shell element for explicit transient dynamics," Comp. Meth. Appl. Mech. Engrg., vol. 124, pp. 33-47, 1995.