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FVM- and FEM-Solution of Elliptical Boundary Value Problems in Different Coordinate Systems

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Computational Science and Its Applications – ICCSA 2007 (ICCSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4707))

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Abstract

In this paper several numerical concepts for the solution of elliptical boundary value problems will be compared with regard to their efficiency, computational load and accuracy. Especially regions which are images of rectangles and cuboids of coordinate transformations will be considered. I argue that it is thus possible to construct well structured discretisations which imply equation systems with very high solution properties. The approaches discussed will be tested with instructive examples in the light of their advantages and disadvantages.

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References

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Authors and Affiliations

  1. Technische Universität Berlin, Fak. II, Inst. f. Mathematik, Str. des 17. Juni 136, D-10623 Berlin, Germany

    Günter Bärwolff

Authors
  1. Günter Bärwolff
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Osvaldo Gervasi Marina L. Gavrilova

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© 2007 Springer-Verlag Berlin Heidelberg

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Bärwolff, G. (2007). FVM- and FEM-Solution of Elliptical Boundary Value Problems in Different Coordinate Systems. In: Gervasi, O., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2007. ICCSA 2007. Lecture Notes in Computer Science, vol 4707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74484-9_41

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  • DOI: https://doi.org/10.1007/978-3-540-74484-9_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74482-5

  • Online ISBN: 978-3-540-74484-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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