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

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Singularities and Constructive Methods for Their Treatment

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

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References

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

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  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.

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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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Pierre Grisvard Wolfgang L. Wendland John R. Whiteman

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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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