Abstract
Least-squares spectral element methods are based on two important and successful numerical methods: spectral/hp element methods and least-squares finite element methods. Least-squares methods lead to symmetric and positive definite algebraic systems which circumvent the Ladyzhenskaya-Babuška-Brezzi stability condition and consequently allow the use of equal order interpolation polynomials for all variables. In this paper, we present results obtained with a parallel implementation of the least-squares spectral element solver on a distributed memory machine (Cray T3E) and on a virtual shared memory machine (SGI Origin 3800).
Funding for this work was provided by the National Computing Facilities Foundation (NCF), under project numbers NRG-2000.07 and MP-068. Computing time was also provided by HPαC, Centre for High Performance Applied Computing at the Delft University of Technology.
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Keywords
- Parallel Performance
- Parallel Implementation
- Spectral Element
- Spectral Element Method
- Nite Element Method
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© 2002 Springer-Verlag Berlin Heidelberg
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Nool, M., Proot, M.M.J. (2002). Parallel Implementation of a Least-Squares Spectral Element Solver for Incompressible Flow Problems. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46043-8_91
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DOI: https://doi.org/10.1007/3-540-46043-8_91
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