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Numerical solution of PDEs on parallel computers utilizing sequential simulators

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1343))

Abstract

We propose a strategy, based on domain decomposition methods, for parallelizing existing sequential simulators for solving partial differential equations. Using an object-oriented programming framework, high-level parallelizations can be done in an efficient and systematical way. Concrete case studies, including numerical experiments, are provided to further illustrate this parallelization strategy.

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References

  1. T.F. Chan and T.P. Mathew. Domain decomposition algorithms. Acta Numerica, pages 61–143, 1994.

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  2. Diffpack Home Page. http://www.nobjects.com/Diffpack.

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  3. B.F. Smith, P.E. Bjorstad and W.D. Gropp. Domain Decomposition, Parallel Multilevel Methods for Elliptic Partial Differential Equations. Cambridge University Press, 1996.

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Yutaka Ishikawa Rodney R. Oldehoeft John V. W. Reynders Marydell Tholburn

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© 1997 Springer-Verlag

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Bruaset, A.M., Cai, X., Langtangen, H.P., Tveito, A. (1997). Numerical solution of PDEs on parallel computers utilizing sequential simulators. In: Ishikawa, Y., Oldehoeft, R.R., Reynders, J.V.W., Tholburn, M. (eds) Scientific Computing in Object-Oriented Parallel Environments. ISCOPE 1997. Lecture Notes in Computer Science, vol 1343. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63827-X_57

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  • DOI: https://doi.org/10.1007/3-540-63827-X_57

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63827-8

  • Online ISBN: 978-3-540-69656-8

  • eBook Packages: Springer Book Archive

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