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Treatment of a re-entrant vertex in a three-dimensional poisson problem

Part of the Lecture Notes in Mathematics book series (LNM,volume 1121)

Keywords

  • Singular Function
  • Adaptive Mesh Refinement
  • Boundary Singularity
  • Singular Form
  • Homogeneous Neumann Boundary Condition

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References

  1. Akin, J.E., Application and Implementation of Finite Element Methods. Academic Press, London, 1982.

    MATH  Google Scholar 

  2. Fichera, G., Asymptotic behaviour of the electric field and density of the electric charge in the neighbourhood of singular points of a conducting surface. Russian Math. Surveys 30, 107–127, 1975.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Harrison, D., Ward, T.J.W. and Whiteman, J.R., Proc. 4th Int. Seminar on Finite Element Systems. Computational Mechanics Centre, Southampton, July 1983.

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  4. Grisvard, P., Behaviour of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain. pp. 207–274 of B. Hubbard (ed.), Numerical Solution of Partial Differential Equations III, SYNSPADE 1975. Academic Press, New York, 1976.

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  5. NAG Routines f01buf, f01bvf, f01bwf, f02bff and f02sdf, NAG Manual Vol. 4. Numerical Algorithms Group, Oxford.

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  6. Stephan E. and Whiteman, J.R., Singularities of the Laplacian at corners and edges of three dimensional domains and their treatment with finite element methods. Technical Report BICOM 81/1. Institute of Computational Mathematics, Brunel University, 1981.

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  7. Walden, H. and Kellogg, R.B., Numerical determination of the fundamental eigenvalue of the Laplacian operator on a spherical domain. J. Eng. Math. 11, 299–318, 1977.

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© 1985 Springer-Verlag

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Beagles, A.E., Whiteman, J.R. (1985). Treatment of a re-entrant vertex in a three-dimensional poisson problem. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076259

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  • DOI: https://doi.org/10.1007/BFb0076259

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

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