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On Conforming Tetrahedralisations of Prismatic Partitions

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Differential and Difference Equations with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 47))

Abstract

We present an algorithm for conform (face-to-face) subdividing prismatic partitions into tetrahedra. This algorithm can be used in the finite element calculations and analysis.

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References

  1. Apel, T., Düvelmeyer, N.: Transformation of hexahedral finite element meshes into tetrahedral meshes according to quality criteria. Preprint SFB393/03-09. Tech. Univ. Chemnitz, pp. 1–12 (2003)

    Google Scholar 

  2. Ciarlet, P.G.: Basic error estimates for elliptic problems. In: Ciarlet, P., Lions, G.J.L. (eds.) Handbook of Numerical Analysis, vol. II. North-Holland, Amsterdam (1991)

    Google Scholar 

  3. Hannukainen, A., Korotov, S., Vejchodský, T.: Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. J. Comput. Appl. Math. 226, 275–287 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Karátson, J., Korotov, S., Křížek, M.: On discrete maximum principles for nonlinear elliptic problems. Math. Comp. Simulation 76, 99–108 (2007)

    Article  MATH  Google Scholar 

  5. Korotov, S., Vejchodský, T.: A comparison of simplicial and block finite elements. In: Kreiss, G., et al. (eds.) Proceedings Eighth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH2009), Uppsala, Sweden, pp. 531–540. Springer, Heidelberg (2010)

    Google Scholar 

  6. Křížek, M.: An equilibrium finite element method in three-dimensional elasticity. Apl. Mat. 27, 46–75 (1982) See also www.dml.cz

    Google Scholar 

  7. Křížek, M., Lin, Q.: On diagonal dominance of stiffness matrices in 3D. East-West J. Numer. Math. 3, 59–69 (1995)

    MathSciNet  MATH  Google Scholar 

  8. Křížek, M., Neittaanmäki, P.: Finite element approximation of variational problems and applications. In: Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 50, Longman Scientific & Technical, Harlow (1990)

    Google Scholar 

  9. Liu, L., Davies, K.B., Yuan, K., Křížek, M.: On symmetric pyramidal finite elements. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 11, 213–227 (2004)

    MathSciNet  MATH  Google Scholar 

  10. Nečas, J., Hlaváček, I.: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam (1981)

    MATH  Google Scholar 

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Acknowledgements

This work was supported by Grant MTM2011-24766 of the MICINN, Spain, and the Grant no. IAA 100190803 of the Grant Agency of the Academy of Sciences of the Czech Republic. The authors are indebted to A. and Z. Horváth for fruitful discussions.

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Correspondence to Sergey Korotov .

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Korotov, S., Křížek, M. (2013). On Conforming Tetrahedralisations of Prismatic Partitions. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_5

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