Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures

Juan Enrique Santos; Ernesto Jorge Oreña

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 1, page 129-139
  • ISSN: 0764-583X

How to cite

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Santos, Juan Enrique, and Oreña, Ernesto Jorge. "Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.1 (1986): 129-139. <http://eudml.org/doc/193466>.

@article{Santos1986,
author = {Santos, Juan Enrique, Oreña, Ernesto Jorge},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {error analysis; discrete-time Galerkin method; Biot's equations; elastic wave propagation; bounded saturated porous medium; method of mixed finite elements},
language = {eng},
number = {1},
pages = {129-139},
publisher = {Dunod},
title = {Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures},
url = {http://eudml.org/doc/193466},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Santos, Juan Enrique
AU - Oreña, Ernesto Jorge
TI - Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 1
SP - 129
EP - 139
LA - eng
KW - error analysis; discrete-time Galerkin method; Biot's equations; elastic wave propagation; bounded saturated porous medium; method of mixed finite elements
UR - http://eudml.org/doc/193466
ER -

References

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  1. [1] F. BREZZI, J. DOUGLAS Jr. and L. D. MARINI, Two families of Mixed Finite Elements for Second Order Elliptic Problems, Numer. Math. 47 (1985), pp. 217-235. Zbl0599.65072MR799685
  2. [2] F. BREZZI, J. DOUGLAS Jr. and L. D. MARINI, Recent Results on Mixed Finite Element Methods for Second Order Elliptic Problems, to appear. Zbl0611.65071MR775499
  3. [3] J. DOUGLAS Jr. and J. E. ROBERTS, Global Estimates for Mixed Methods for Second Order Elliptic Equations, Math. Comp. 44 (1985), pp. 39-52. Zbl0624.65109MR771029
  4. [4] J. C. NEDELEC, Mixed Finite Elements in R³, Numer. Math. 35 (1980), pp. 315-341. Zbl0419.65069MR592160
  5. [5] P. A. RAVIART and J. M. THOMAS, A Mixed Finite Element Method for 2nd Order Elliptic Problems, Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics 606, Springer-Verlag, Berlin, 1977. Zbl0362.65089MR483555
  6. [6] J. E. SANTOS, Elastic Wave Propagation in Fluid-Saturated Porous Media, Part I, The Existence and Uniqueness Theorems, this Journal, vol. 20, N° 1, pp. 113-128, 1986. Zbl0616.76104MR844519
  7. [7] J. M. THOMAS, Sur l'Analyse Numérique des Méthodes d'Eléments Finis Hybrides et Mixtes, Thèse, Université P. et M. Curie, Paris, 1977. 

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