Abstract
The objective of this paper is to analyze the impact of data mapping strategies on the performance of finite element applications. First, we describe a parallel mesh decomposition algorithm based on recursive spectral bisection used to partition the mesh into element blocks. A simple heuristic algorithm then renumbers the mesh nodes. Large three-dimensional meshes demonstrate the efficiency of those mapping strategies and assess the performance of a finite element program for fluid dynamics.
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Pothen, A., Simon, H.D., and Liou, K.-P.: Partitioning sparse matrices with eigenvectors of graphs. SIAM J. Matrix Anal. Appl. 11 (1990) 430–452
Simon, H.D.: Partitioning of unstructured problems for parallel processing. Comput. Systems Engrg. 2 (1991) 135–148
CM Fortran Language Reference Manual, Version 2.1 (Thinking Machines Corporation, 1994)
VU Programmer's Handbook, CMost Version 7.2 (Thinking Machines Corporation, 1993)
Johan, Z., Mathur, K.K., Johnsson, S.L., and Hughes, T.J.R.: An efficient communication strategy for finite element methods on the Connection Machine CM-5 system. Comput. Methods Appl. Mech. Engrg. (in press)
Shakib, F., Hughes, T.J.R., and Johan, Z.: A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 89 (1991) 141–219
Johan, Z., Hughes, T.J.R., Mathur, K.K., and Johnsson, S.L.: A data parallel finite element method for computational fluid dynamics on the Connection Machine system. Comput. Methods Appl. Mech. Engrg. 99 (1992) 113–134
Hughes, T.J.R., Franca, L.P., and Hulbert, G.M.: A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations. Comput. Methods Appl. Mech. Engrg. 73 (1989) 173–189
Johnson, C., Szepessy, A., and Hansbo, P.: On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws. Math. Comp. 54 (1990) 107–129
CMSSL for CM Fortran: CM-5 Edition, Version 3.1 (Thinking Machines Corporation, 1993)
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© 1994 Springer-Verlag Berlin Heidelberg
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Johan, Z., Mathur, K.K., Johnsson, S.L., Hughes, T.J.R. (1994). Mesh decomposition and communication procedures for finite element applications on the Connection Machine CM-5 system. In: Gentzsch, W., Harms, U. (eds) High-Performance Computing and Networking. HPCN-Europe 1994. Lecture Notes in Computer Science, vol 797. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57981-8_124
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DOI: https://doi.org/10.1007/3-540-57981-8_124
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