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Fix, George J.

Eigenvalue approximation by the finite element method. (English) Zbl 0257.65086

Adv. Math. 10, 300-316 (1973).
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Cited in 19 Documents

MSC:

65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
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[1] G. Strang and G. Fix; G. Strang and G. Fix · Zbl 0356.65096
[2] Courant, R., Bull. Amer. Math. Soc., 40, 1-23 (1943)
[3] Birkhoff, G.; deBoor, C.; Swartz, B.; Wendroff, B., SIAM J. Numer. Anal., 13, 188-203 (1966) · Zbl 0143.38002
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[11] Fix, G., On the approximation of eigenvalues arising from non-self-adjoint problems, University of Maryland Report (1972)
[12] I. Babuska; I. Babuska · Zbl 0268.65052
[13] Lions, J. L.; Magenes, E., Problèmes aux limites non homogènes et applications (1968), Dunod: Dunod Paris · Zbl 0165.10801
[14] Kellogg, B., On the Poisson equation with intersecting interfaces, (Technical Note BN-643 (1970), University of Maryland) · Zbl 0307.35038
[15] Babuska, I., Numer. Math., 16, 322-333 (1971) · Zbl 0214.42001
[16] Habetler, G. J.; Martino, M. A., Existence theorems and spectral theory for the multigroup diffusion model, (Proc. of Symposia in Applied Math., 11 (1961), A.M.S: A.M.S Providence)
[17] Yosida, K., Functional Analysis (1965), Springer-Verlag: Springer-Verlag New York · Zbl 0126.11504
[18] Babuska, I., The finite element method with Lagrangian multipliers, University of Maryland Report BN-724 (1972)
[19] Fix, G.; Gulati, S.; Wahoff, G. I., On the use of singular functions with the finite element method, J. of Comp. Physics (1972), to appear
[20] Dunford, N.; Schwartz, J., (Linear Operations, Vol. II (1963), Interscience: Interscience New York)
[21] Kato, T., Perturbation Theory of Linear Operators (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0148.12601
[22] Bramble, J. H.; Osborn, J. E., Univ. of Wisconsin M.R.C. Report 1232 (June 1972)
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