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Prismatic mixed finite elements for second order elliptic problems

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Abstract

In this paper, three families of mixed finite elements based on prisms are introduced. These spaces are analogues to those based on simplices and cubes in three space variables. Error estimates in L2 and H−5 are given.

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References

  1. F. Brezzi, J. Douglas Jr., R. Durán, M. Fortin,Mixed finite elements for second order elliptic problems in three variables, Numer. Math., 51 (1987), 237–250.

    Article  MATH  MathSciNet  Google Scholar 

  2. F. Brezzi, J. Douglas Jr., M. Fortin, L. D. Marini,Efficient rectangular mixed finite elements in two and three space variables, R.A.I.R.O. Modélisation Mathématique et Analyse Numérique, 21 (1987), 581–604.

    MathSciNet  Google Scholar 

  3. F. Brezzi, J. Douglas Jr., L. D. Marini,Two families of mixed finite elements for second order elliptic problems, Numer. Math. 47 (1985), 217–235.

    Article  MATH  MathSciNet  Google Scholar 

  4. F. Brezzi, L. D. Marini, P. Pietra,Two-dimensional exponential fitting and applications to semiconductor device equations, SIAM J. Numer. Anal., to appear.

  5. J. Douglas Jr., R. Durán, P. Pietra,Alternating-direction iteration for mixed finite element methods, Computing Methods in Applied Science and Engineering, VII, to appear.

  6. J. Douglas, Jr., R. Durán, P. Pietra,Formulation of alternating-direction iterative methods for mixed methods in three space, in Numerical Approximation of Partial Differential Equations, 1987, E. L. Ortiz, ed., North-Holland, Amsterdam, 21–30.

    Google Scholar 

  7. J. Douglas Jr., P. Pietra,A description of some alternating-direction iterative techniques for mixed finite element methods, in Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, 1986, W. E. Fitzgibbon, ed., SIAM, Philadelphia, 37–53.

    Google Scholar 

  8. J. Douglas Jr., J. E. Roberts,Global estimates for mixed methods for second order elliptic problems, Math. Comp., 45 (1985), 39–52.

    Article  MathSciNet  Google Scholar 

  9. J. C. Nedelec,A new family of mixed finite elements in R 3, Numer. Math., 50 (1986), 57–82.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, 47907, West Lafayette, Indiana

    Z. Chen & J. Douglas Jr.

Authors
  1. Z. Chen
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  2. J. Douglas Jr.
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This work is supported in part by the National Science Foundation.

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Chen, Z., Douglas, J. Prismatic mixed finite elements for second order elliptic problems. Calcolo 26, 135–148 (1989). https://doi.org/10.1007/BF02575725

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  • DOI: https://doi.org/10.1007/BF02575725

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