Free Access
Issue |
ESAIM: M2AN
Volume 31, Number 1, 1997
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Page(s) | 1 - 25 | |
DOI | https://doi.org/10.1051/m2an/1997310100011 | |
Published online | 31 January 2017 |
- R. A. ADAMS, 1975, Sobolev Spaces, Academic Press, New York. [MR: 450957] [Zbl: 0314.46030] [Google Scholar]
- L. BERS, F. JOHN and M. SCHECHTER, 1964, Partial Differential Equations, John Wiley & Sons, New York. [MR: 162045] [Zbl: 0126.00207] [Google Scholar]
- P. G. CIARLET, 1978, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
- B. E. J. DAHLBERG, C. E. KENIG and G. C. VERCHOTA, 1988, Boundary value problems for the systems of elastostatics in Lipschitz domains, Duke Math. J., 57, pp. 795-818. [MR: 975122] [Zbl: 0699.35073] [Google Scholar]
- R. DAUTRAY and J. L. LIONS, 1990, Mathematical Analysis and Numencal Methods for Science and Technology, I, Springer-Verlag, New York. [Zbl: 0683.35001] [Google Scholar]
- B. DESPRÉS, 1991, Méthodes de décomposition de domaines pour les problèmes de propagation d'ondes en régime harmonique, Ph. D. Thesis, Université Paris IX Dauphine, UER Mathématiques de la Decision. [Zbl: 0849.65085] [Google Scholar]
- B. DESPRÉS, P. JOLY and J. E. ROBERTS, A domain decomposition method for the harmonie Maxwell equations, Itérative Methods in Linear Algebra, Elsevier Science Publishers B. V. (North-Holland), Amsterdam, pp. 475-484, R. Beauwens and P. de Groen, eds. [MR: 1159757] [Zbl: 0785.65117] [Google Scholar]
- J. DOUGLAS Jr, P. J. S. PAES LEME, J. E. ROBERTS and J. WANG, 1993, A parallel iterative procedure applicable to the approximate solution of second order partial differential e-quations by mixed finite element methods, Numer. Math., 65, pp.95-108. [EuDML: 133725] [MR: 1217441] [Zbl: 0813.65122] [Google Scholar]
- J. DOUGLAS Jr and J. E. ROBERTS, 1982, Mixed finite element methods for second order elliptic problems, Matemática Aplicada e Computacional, 1, pp. 91-103. [MR: 667620] [Zbl: 0482.65057] [Google Scholar]
- G. DUVAUT and J. L. LIONS, 1976, Inequalities in Mechanics and Physics, Springer-Verlag, Berlin. [MR: 521262] [Zbl: 0331.35002] [Google Scholar]
- X. FENG, 1992, On miscible displacement in porous media and absorbing boundary conditions for electromagnetic wave propagation and on elastic and nearly elastic waves in the frequency domam, Ph. D. Thesis, Purdue University, 1992. [Google Scholar]
- X. FENG, A mixed finite element domam decomposition method for nearly elastic waves in the frequency domain (submitted). [Google Scholar]
- X. FENG, A domain decomposition method for convection-dominated convection-diffusion equations, preprint. [Google Scholar]
- P. GRISVARD, 1992, Singularities in Boundary Value Problems, Research Notes in Applied Mathematics, Vol. 22, Springer-Verlag and Masson. [MR: 1173209] [Zbl: 0766.35001] [Google Scholar]
- F. JOHN, 1982, Partial Differential Equations, Fourth Edition, Springer-Verlag, New York. [MR: 831655] [Google Scholar]
- C. E. KENIG, 1994, Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, CBMS Regional Conference Series in Mathematics, No. 83, American Mathematical Society. [MR: 1282720] [Zbl: 0812.35001] [Google Scholar]
- S. KIM, 1994, A parallelizable iterative procedure for the Helmholtz problem, Appl. Numer. Math., 14, pp. 435-449. [MR: 1285471] [Zbl: 0805.65100] [Google Scholar]
- V. D. KUPRADZE, 1965, Potential Methods in the Theory of Elasticity, Israel Program for Scientiflc Translations, Jerusalem. [MR: 223128] [Zbl: 0188.56901] [Google Scholar]
- P. LESAINT, 1976, On the convergence of Wilson's nonconforing element for solving the elastic problem, Comput. Methods Appl. Mech. Engrg, 7, pp. 1-16. [MR: 455479] [Zbl: 0345.65058] [Google Scholar]
- J. L LIONS, 1955, Contributions à un problème de M. M. Picone, Ann. Mat. Pura e Appl., 41, pp. 201-215. [MR: 89978] [Zbl: 0075.10103] [Google Scholar]
- J. L. LIONS and E. MAGENES, 1972, Nonhomogeneous Boundary Value Problems and Applications, Vol I, Springer-Verlag, New York. [Zbl: 0223.35039] [Google Scholar]
- P. L. LIONS, 1988, 1988, On the Schwartz alternatmg method I, III, First and Third International Symposium on Domain Decomposition Method for Partial Differential Equations, SIAM, Philadelphia. [MR: 972510] [Google Scholar]
- L. D. MARINI and A. QUARTERONI, 1989, A relaxation procedure for domain decomposition methods using finite elements, Numer. Math., 55, pp. 575-598. [EuDML: 133372] [MR: 998911] [Zbl: 0661.65111] [Google Scholar]
- J. A. NITSCHE, 1981, On Korn's second inequality, R.A.I.R.O Anal. Numér., 15, pp. 237-248. [EuDML: 193380] [MR: 631678] [Zbl: 0467.35019] [Google Scholar]
- C. L. RAVAZZOLI, J. DOUGLAS Jr, J. E. SANTOS and D. SHEEN, 1992, On the solution of the equations of motion for nearly elastic solids in the frequency domain, Proceedings of the IV Reunion de Trabajo en Procesamiento de la Información y Control, Centro de Cálculo Cientifico, Comisión Nacional de Energía Atómica, Buenos Aires, Argentina, November 1991, or Technical Report #164, Center for Applied Mathematics, Purdue University. [Google Scholar]
- A. SCHATZ, 1974, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms, Math. Comp, 28, pp. 959-962. [MR: 373326] [Zbl: 0321.65059] [Google Scholar]
- J.-M. THOMAS, 1977, Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes, Thèse d'État, Université Pierre et Marie Curie, Paris. [Google Scholar]
- J. E. WHITE, 1965, Seismic Waves, Radiation, Transmission and Attenuation, McGraw-Hill. [Google Scholar]
- E. L. WILSON, R. L. TAYLOR, W. P. DOHERTY and J. GHABOUSSI, 1971, Incompatible displacement models, Symposium on Numerical and Computer Methods in Structural Engineering, O.N.R., University of Illinois. [Google Scholar]
- J. XU, 1992, Iterative methods by space decomposition and subspace correction, SIAM Review, 34, pp, 581-613. [MR: 1193013] [Zbl: 0788.65037] [Google Scholar]
- K. YOSIDA, 1980, Functional Analysis, Springer-Verlag, Berlin-New York. [MR: 617913] [Zbl: 0435.46002] [Google Scholar]
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