Efficient rectangular mixed finite elements in two and three space variables

Franco Brezzi; Jim Jr. Douglas; Michel Fortin; L. Donatella Marini

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1987)

  • Volume: 21, Issue: 4, page 581-604
  • ISSN: 0764-583X

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Brezzi, Franco, et al. "Efficient rectangular mixed finite elements in two and three space variables." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 21.4 (1987): 581-604. <http://eudml.org/doc/193515>.

@article{Brezzi1987,
author = {Brezzi, Franco, Douglas, Jim Jr., Fortin, Michel, Marini, L. Donatella},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {mixed finite elements; second order elliptic equations; rectangular elements; rates of convergence; Raviart-Thomas elements; alternating- direction iterative techniques},
language = {eng},
number = {4},
pages = {581-604},
publisher = {Dunod},
title = {Efficient rectangular mixed finite elements in two and three space variables},
url = {http://eudml.org/doc/193515},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Brezzi, Franco
AU - Douglas, Jim Jr.
AU - Fortin, Michel
AU - Marini, L. Donatella
TI - Efficient rectangular mixed finite elements in two and three space variables
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1987
PB - Dunod
VL - 21
IS - 4
SP - 581
EP - 604
LA - eng
KW - mixed finite elements; second order elliptic equations; rectangular elements; rates of convergence; Raviart-Thomas elements; alternating- direction iterative techniques
UR - http://eudml.org/doc/193515
ER -

References

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  12. [12] J. Jr. DOUGLAS, R. DURAN and P. PIETRA, Alternating-direction iteration for mixed finite element methods, to appear in Computing Methods in Applied Science and Engineering VII (R. Glowinski and J. L. Lions, eds.), North-Holland, 1986. Zbl0677.65105MR905295
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  14. [14] J. Jr. DOUGLAS and P. PIETRA, A description of some alternating-direction iterative techniques for mixed finite element methods, to appear in the proceedings of a SIAM/SEG/SPE conference, Houston, January 1985. 
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Citations in EuDML Documents

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  1. P. Peisker, D. Braess, Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
  2. Zhangxin Chen, Expanded mixed finite element methods for quasilinear second order elliptic problems, II
  3. Todd Arbogast, On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir
  4. Zhangxin Chen, Magne Espedal, Richard E. Ewing, Continuous-time finite element analysis of multiphase flow in groundwater hydrology
  5. R. E. Ewing, J. Wang, Analysis of multilevel decomposition iterative methods for mixed finite element methods
  6. R. E. Ewing, J. Wang, Analysis of the Schwarz algorithm for mixed finite elements methods
  7. Runchang Lin, Zhimin Zhang, Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems
  8. Daniele Boffi, Franco Brezzi, Lucia Gastaldi, On the convergence of eigenvalues for mixed formulations
  9. Zhangxin Chen, Expanded mixed finite element methods for linear second-order elliptic problems, I
  10. Lucia Gastaldi, Ricardo H. Nochetto, Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations

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