Abstract
Subject of the European Esprit project PARASOL is the development of fast parallel direct solvers and test of parallel iterative solvers on their applicability and robustness in an industrial framework. Target application codes are the CFD-code POLYFLOW, the structural analysis codes MSC/NASTRAN and DNV SESAM as well as the deep drawing code INDEED and the composite modelling code ARC3D. P-elements in MSC/NASTRAN linear static analysis of solid structures allow the polynomial degree of the base functions to be specified either globally or for each element. Discretisations with lower p-level can therefore be used as coarser grids for a multilevel iterative method. This paper presents a parallel version of such an iterative solver.
This work was supported by the European Commission as part of the Esprit project PARASOL (No. 20160).
Preview
Unable to display preview. Download preview PDF.
References
See also http://www.genias.de/parasol
Duff, I.; Grimes, R.G.; Lewis, J.G.: The Rutherford-Boeing Sparse Matrix Collection. Report RAL-TR-97-031, Rutherford Appleton Laboratory, Oxon, GB.
Reid, J., Supalov, A., Thole, C.A.: PARASOL Interface to new parallel solvers for industrial applications, Proceedings of the ParCo’97 Conference, Bonn, Sept. 16–19, 1997, Elsevier, The Netherlands (1997).
MacNeal, R.H.: Finite elements: Their design and performance. Mechanical Engineering Series (Faulkner, L.L. ed.) Vol 89, Marcel Dekker Inc., 1994.
Axelsson, O. and Gustafsson, I.: Preconditioning and two-level multigrid methods for arbitrary degree of approximation. Math. Comp., 40:219–242 (1983).
Thole, C.A., Mayer, S., Supalov, A., Fast solution of MSC/NASTRAN sparse matrix problems using a multi-level approach, Proceedings of the CMCMM97 conference, April 6–11, 1997. Electronic transactions on numerical analysis, Kent University (1998).
Karypis, G.; Kumar, V.: A coarse grain parallel formulation of a multilevel k-way graph partitioning algorithm. To appear in: Proceeding of the eighth SIAM conference on parallel processing for scientific computing, 1997.
Gupta, A., Joshi, M. and Kumar, V., WSSMP: Watson Symmetric Sparse Matrix Package, IBM Research Report RC 20923 (92669), IBM Research Devision, Computer Science/Mathematics, Watson (1997).
Stüben, K.; Mierendorff, H. Thole, C.A.; Thomas, O.: Industial parallel computing with real codes. Parallel Computing 22 (1996) pp. 725–737.
Stüben, K.; Mierendorff, H.; Thole, C.A.; Thomas, O.; EUROPORT: Parallel CFD for industrial applications. In: Schiano, P.; Ecer, A.; Periaux, J.; Satofuka, N.: Parallel Computational Fluid Dynamics, Elsevier Amsterdam, 1997.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Thole, CA., Supalov, A., Mayer, S. (1998). A parallel hierarchical solver for finite element applications. In: Kågström, B., Dongarra, J., Elmroth, E., Waśniewski, J. (eds) Applied Parallel Computing Large Scale Scientific and Industrial Problems. PARA 1998. Lecture Notes in Computer Science, vol 1541. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095382
Download citation
DOI: https://doi.org/10.1007/BFb0095382
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65414-8
Online ISBN: 978-3-540-49261-0
eBook Packages: Springer Book Archive