Abstract
This paper presents the parallel implementation of a computer program for the solution of three-dimensional elastostatic problems using the Boundary Element Method (BEM). The Fortran code is written for shared memory systems using standard and portable libraries: OpenMP and LAPACK. The implementation process provides guidelines to develop highly portable parallel BEM programs, applicable to many engineering problems. Numerical experiments performed in the solution of a real-life problem on a SGI Origin 2000, a Cray SV1ex and a NEC SX-6 show the effectiveness of the proposed approach.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Symm, G.T.: Boundary Elements on a Distributed Array Processor. Engineering Analysis with Boundary Elements 1/3, 162–165 (1984)
Davies, A.J.: The Boundary Element Method on the ICL DAP. Parallel Computing 8(1-3), 335–343 (1988)
Brebbia, C.A., Telles, J.C.F., Wrobel, L.C.: Boundary Elements Techniques: Theory and Applications in Engineering. Springer, Heidelberg (1984)
Telles, J.C.F.: The Boundary Element Method Applied to Inelastic Problems. Springer, Heidelberg (1983)
Davies, A.J.: Fine-grained Parallel Boundary Elements. Engineering Analysis with Boundary Elements 19, 13–16 (1997)
Gomez, J.E., Power, H.: A Multipole Direct and Indirect BEM for 2D Cavity Flow at Low Reynolds Number. Engineering Analysis with Boundary Elements 19, 17–31 (1997)
Dongarra, J.J.: High Performance Computing Trends, the Grid, and Numerical Algorithms. In: 14th Symposium on Computer Architecture and High Performance Computing. IEEE Computer Society, Washington (2002)
Cunha, M.T.F.: A Practical Approach in the Development of Engineering Applications to the Internet Using Object Oriented Programming. Universidade Federal do Paraná, Curitiba-Brazil (1999)
Anderson, E., et al.: LAPACK User’s Guide, 3rd edn. SIAM, Philadelphia (1999)
Chandra, R., et al.: Parallel Programming in OpenMP. Academic Press, London (2001)
Tang, W., Telles, J.F.C., Brebbia, C.A.: Some Subroutines for Simple and Efficient Input Data Reading for Multipurpose Pre-processors. Microsoftware for Engineers. Computational Mechanics Publications 2/4, 209–214 (1986)
Telles, J.F.C.: A Self-adaptative Coordinate Transformation for Efficient Numerical Evaluation of General Boundary Integrals. International Journal for Numerical Methods in Engineering 24, 959–973 (1987)
Telles, J.F.C.: A Self-adaptative Coordinate Transformation for Efficient Numerical Evaluation of General Boundary Integrals, Discussion. International Journal for Numerical Methods in Engineering 26, 1683–1684 (1988)
Franco, J.A.M., et al.: Design Aspects of the Underground Structures of the Serra da Mesa Hydroeletric Power Plant. Int. J. Rock Mech. and Min. Sci. 34(3-4), 763–771 (1997)
Blackford, L.S., et al.: ScaLAPACK User’s Guide. SIAM, Philadelphia (1987)
SGI: Origin 2000 and Onyx2 Performance Tuning and Optimization Guide. Silicon Graphics Inc., Document 007-3430-002 (2000)
Barra, L.P.S., et al.: Iterative Solution of BEM Equations by GMRES Algorithm. Computer and Structures 6(24), 1249–1253 (1992)
Kreienmeyer, M., Stein, E.: Efficient Parallel Solvers for Boundary Element Equations Using Data Decomposition. Engineering Analysis with Boundary Elements 19, 33–39 (1997)
Cunha, M.T.F., Telles, J.C.F., Coutinho, A.L.G.A.: On the parallelization of boundary element codes using standard and portable libraries. Engineering Analysis with Boundary Elements 28(7), 893–902 (2004)
Cunha, M.T.F., Telles, J.C.F., Coutinho, A.L.G.A.: A Portable Implementation of a Boundary Element Elastostatic Code for Shared and Distributed Memory Systems. Advances in Engineering Software 37(7), 453–460 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cunha, M.T.F., Telles, J.C.F., Coutinho, A.L.G.A. (2005). Parallel Boundary Elements: A Portable 3-D Elastostatic Implementation for Shared Memory Systems. In: Daydé, M., Dongarra, J., Hernández, V., Palma, J.M.L.M. (eds) High Performance Computing for Computational Science - VECPAR 2004. VECPAR 2004. Lecture Notes in Computer Science, vol 3402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11403937_39
Download citation
DOI: https://doi.org/10.1007/11403937_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25424-9
Online ISBN: 978-3-540-31854-5
eBook Packages: Computer ScienceComputer Science (R0)