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Parallelization of Large Scale Adaptive Finite Element Computations

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Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

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Abstract

The paper discusses general principles for parallelization of finite element codes and presents a model architecture for computational kernels of parallel adaptive programs. The model is based on message passing and domain decomposition. Parallel adaptivity, load balancing and multi-level (multigrid) solvers for systems of linear equations are included into the model. Numerical examples, computed using a prototype implementation of the proposed architecture, illustrate capabilities of the approach.

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References

  1. Engineering with Computers 15 (1999)

    Google Scholar 

  2. Langtangen, H.P., Bruaset, A.M., Quak, E. (eds.): Advances in software tools for scientific computing. Springer, Berlin (2000)

    MATH  Google Scholar 

  3. Bastian, P., Birken, K., Johannsen, K., Lang, S., Neuss, N., Rentz-Reichert, H., Wieners, C.: Ug - a flexible software toolbox for solving partial differential equations. Computing and Visualization in Science 1(1), 27–40 (1997)

    Article  MATH  Google Scholar 

  4. Beall, M.W., Shephard, M.S.: An object-oriented framework for reliable numerical simulations. Engineering with Computers 15, 61–72 (1999)

    Article  Google Scholar 

  5. Płażek, J., Banaś, K., Kitowski, J.: Comparison of message passing and shared memory implementations of the GMRES method on MIMD computers. Scientific Programming 9, 195–209 (2001)

    Google Scholar 

  6. Remacle, J.-F., Karamete, B.K., Shephard, M.S.: Algorithm Oriented Mesh Database, Report 5, SCOREC (2000)

    Google Scholar 

  7. Oden, J.T., Babuska, I., Baumann, C.E.: A discontinous hp finite element method for diffusion problems. Journal of Computational Physics 146, 491–519 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  8. Banaś, K., Wheeler, M.F.: Preconditioning GMRES for discontinuous Galerkin approximations, to appear in Computer Assisted Mechanics and Engineering Science

    Google Scholar 

  9. Lasser, C., Toselli, A.: Overlapping preconditioners for discontinuous Galerkin approximations of second order problems. In: Debit, N., et al. (eds.) Proceedings of the XIIIth International Conference on Domain Decomposition Methods, Lyon, October 2000. DDM.org (2001)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Banaś, K. (2004). Parallelization of Large Scale Adaptive Finite Element Computations. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_56

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  • DOI: https://doi.org/10.1007/978-3-540-24669-5_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

  • eBook Packages: Springer Book Archive

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