Eigenvalue approximations by mixed methods

 Access to full text

 Full (PDF)

1. 1. I. BABUSKA, The Finite Element Method with Lagrangian Multipliers, Num.Math., 20, 1973, pp. 179-192. Zbl0258.65108
2. 2. I. BABUSKA and A. K. Aziz, Survey Lectures on the Mathematical Foundations of the Finite Element Method in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations; A. K, Aziz, Ed., Academic Press, NewYork 1972, pp. 3-359. Zbl0268.65052
3. 3. I. BABUSKA, J. T. ODEN and J. K. LEE, Mixed-Hybrid Finite Element Approximations of Second Order Elliptic Boundary-Value Problems, TICOM Report 75-7, University of Texas at Austin, 1975. Zbl0382.65056
4. 4. I. BABUSKA and J. E. OSBORN, Numerical Treatment of Eigenvalue Problems for Differential Equations with Discontinuous Coefficients, Technical Note BN-853, University of Maryland, College Park, 1977. Zbl0418.65053
5. 5. G. BIRKHOFF, C. DE BOOR, B. SWARTZ and B. WENDROFF, Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials, S.I.A.M. J. Num. Anal., 13, 1973 pp. 188-203. Zbl0143.38002
6. 6. J. H. BRAMBLE and J. E. OSBORN, Rate of Convergence Estimates for Nonself-adjoint Eigenvalue Approximation, Math. of Comp., vol. 27, No. 123, 1973 pp. 525-549. Zbl0305.65064
7. 7. F. BREZZI, On the Existence, Uniqueness and Approximations of Saddle-Point Problems Arising from Lagrangian Multipliers, R.A.I.R.O., R 2, août 1974, pp. 129-151. Zbl0338.90047
8. 8. F. BREZZI and P. A. RAVIARTMixed Finite Element Methods for 4th Order Elliptic Equations, Rapport Interne No. 9, C.M.A. École Polytechnique, Palaiseau, 1976. MR657975
9. 9. P. G. CIARLET and P. A. RAVIART, A Mixed Finite Element Method for the Biharmonic Equation Symposium on Mathematical Aspects of Finite Elements in Partial Differential Equations, C. DE BOOR, Ed., Academic Press, New York, 1974, pp. 125-145. Zbl0337.65058MR657977
10. 10. G. FIXEigenvalue Approximation by the Finite Element Method, Adv. in Math., 10, 1973, pp. 300-316. Zbl0257.65086MR341900
11. 11. R. GLOWINSKI, Approximations externes, par éléments finis de Lagrange d'ordre un et deux, du problème de Dirichlet pour l'opéraieur biharmonique. Méthode itérative de résolutions des problèmes approchés, Topics in Numerical Analysis, J. J. H. MILLER, Ed., Academic Press, London, 1973, pp. 123-171. Zbl0277.35003MR351120
12. 12. C. GOULAOUIC, Valeurs propres de problèmes aux limites irréguliers : applications, in Spectral Analysis, C.I.M.E. Session 1973, Cremonese, Rome, 1974, pp. 80-140. 
13. 13. V. A. KONDRAT'EV, Boundary Problems for Elliptic Equations in Domains with Conical or Angular Points, Trans. Moscow Math. Soc, vol. 16, 1967 pp. 227-313. Zbl0194.13405MR226187
14. 14. M. MERIGOT, Régularité des fonctions propres du laplacien dans un cône,C. R. Acad. Sc, Paris, 279, série A, 1974, pp. 503-505 Zbl0294.35060MR377258
15. 15. M. MERIGOT, Solutions en norme LP des problèmes élliptiques dans des polygônes plans, Thèse à l'Université de Nice, 1974. 
16. 16. J. E. OSBORN, Spectral Approximation for Compact Operators, Math, of Comp., 29, 1975, pp. 712-725 Zbl0315.35068MR383117

1. Tunc Geveci, B. Daya Reddy, Howard T. Pearce, On the approximation of the spectrum of the Stokes operator
2. Pulin Kumar Bhattacharyya, Neela Nataraj, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
3. B. Mercier, J. Rappaz, Eigenvalue Approximation via Non-Conforming and Hybrid Finite Element Methods
4. S. Kesavan, Une méthode d'éléments finis mixte pour les équations de Von Kármán
5. Claudio Canuto, A hybrid finite element method to compute the free vibration frequencies of a clamped plate
6. Pulin Kumar Bhattacharyya, Neela Nataraj, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients