Numerical approximation of stiff transmission problems by mixed finite element methods
Daniela Capatina-Papaghiuc; Nicolas Raynaud
- Volume: 32, Issue: 5, page 611-629
- ISSN: 0764-583X
Access Full Article
topHow to cite
topCapatina-Papaghiuc, Daniela, and Raynaud, Nicolas. "Numerical approximation of stiff transmission problems by mixed finite element methods." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.5 (1998): 611-629. <http://eudml.org/doc/193888>.
@article{Capatina1998,
author = {Capatina-Papaghiuc, Daniela, Raynaud, Nicolas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {uniform convergence; hybrid methods; stress tensor; anti-plane displacement; regular triangulation},
language = {eng},
number = {5},
pages = {611-629},
publisher = {Dunod},
title = {Numerical approximation of stiff transmission problems by mixed finite element methods},
url = {http://eudml.org/doc/193888},
volume = {32},
year = {1998},
}
TY - JOUR
AU - Capatina-Papaghiuc, Daniela
AU - Raynaud, Nicolas
TI - Numerical approximation of stiff transmission problems by mixed finite element methods
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 5
SP - 611
EP - 629
LA - eng
KW - uniform convergence; hybrid methods; stress tensor; anti-plane displacement; regular triangulation
UR - http://eudml.org/doc/193888
ER -
References
top- [1] V. ANDREEV, S. SAMARSKY (1978) : Méthodes aux différences pour les équations elliptiques, Editions de Moscou. Zbl0377.35004MR502018
- [2] D. N. ARNOLD (1981): Discretization by finite elements of a model parameter dependent problem, Numer. Math., 37, 405-421. Zbl0446.73066MR627113
- [3] D. N. ARNOLD, F. BREZZI (1985): Mixed and nonconforming finite element methods: implementation, post-processing and error estimates, Mathematical Modelling and Numerical Analysis, 19, 7-32. Zbl0567.65078MR813687
- [4] I. BABUŠKA, M. SURI (1992): On locking and robustness in the finite element method, SIAM J. Numer. Anal., 29, 1261-1293. Zbl0763.65085MR1182731
- [5] A. BAYLISS, E. TURKEL (1980): Radiation boundary condition for wave-like equations, Comm. on Pure and Appl. Math., 13, 707-726. Zbl0438.35043MR596431
- [6] A. BENDALI, K. LEMRABET (1997): The effect of a thin coating of a time-harmonic wave for the Helmholtz equation, SIAM J. of Applied Math. (to appear). Zbl0869.35068MR1417476
- [7] A. BENDALI, N. RAYNAUD, J.-M. THOMAS (1966): New decomposition of shape function spaces of mixed finite element methods, Applied Mathematics Letters, 9, 33-38. Zbl0854.65097MR1389594
- [8] F. BREZZI, M. FORTIN (1991): Mixed and Hybrid Finite Element Methods, Springer Verlag, New York. Zbl0788.73002MR1115205
- [9] D. CAILLERIE (1980): The effect of a thin inclusion of high rigidity in an elastic body, Math. Meth. in the Appl. Sci., 2, 251-270. Zbl0446.73014MR581205
- [10] D. CAPATINA-PAPAGHIUC (1997): Contribution à la prévention du phénomène de verrouillage numérique, Thesis, Université de Pau, France.
- [11] D. CHENAIS, J.-C. PAUMIER (1994): On the locking phenomenon for a class of elliptic problem, Numer. Math., 67, 427-440. Zbl0798.73054MR1274440
- [12] P. G. CIARLET (1978): The Finite Element Method for Elliptic Problems, Studies in Mathematics and its Applications 4, North Holland, Amsterdam. Zbl0383.65058MR520174
- [13] P. DESTUYNDER (1986): Une théorie asymptotique des plaques minces en élasticité linéaire, Collection RMA, Masson, Paris. Zbl0627.73064MR830660
- [14] B. ENGQUIST, A. MAJDA (1977): Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 31, 629-651. Zbl0367.65051MR436612
- [15] B. ENGQUIST, J.-C. NEDELEC (1993): Effective boundary conditions for accoustic and electromagnetic scattering in thin layers, Rapport Intern 278, École Polytechnique, Palaiseau.
- [16] V. GIRAULT, P. A. RAVIART (1986) : Finite Element Methods for Navier-Stokes Equations, Springer Verlag, Berlin. Zbl0585.65077MR851383
- [17] M. D. GUNZBURGER (1989): Finite element methods for viscous incompressible flows, A guide to theory, practice and algorithms, Computer Science and Scientific Computing, Academic Press, San Diego. Zbl0697.76031MR1017032
- [18] H. LE DRET (1991): Problèmes variationnels dans les multi-domaines ; modélisation et applications, Collections RMA, Masson, Paris. Zbl0744.73027MR1130395
- [19] K. LEMRABET (1987): Étude de divers problèmes aux limites de Ventcel d'origine physique ou mécanique dans des domaines non réguliers, Thesis, USTHB, Alger.
- [20] K. LEMRABET (1977): Régularité de la solution d'un problème de transmission, J. Maths Pures et Appl., 56, 1-38. Zbl0366.35036MR509312
- [21] N. RAYNAUD (1994): Approximation par éléments finis de problèmes de transmission raide, Thesis, Université de Pau, France.
- [22] J. E. ROBERTS, J. M. THOMAS (1991): Mixed and Hybrid Methods, in Handbook of Numerical Analysis, vol. II: Finite Element Methods, P. G. Ciarlet & J. L. Lions editors, North Holland, Amsterdam, 523-639. Zbl0875.65090MR1115239
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.