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On a method of twosided eigenvalue estimates for elliptic equations of the form Au-lambdaBu=0. (English) Zbl 0474.65080

MSC:
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35P15 Estimates of eigenvalues in context of PDEs
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References:
[1] K. Rektorys: Variational Methods in Mathematics, Science and Engineering. Reidel Publ. Co., Dortrecht (Holland)-Boston (USA) 1977. · Zbl 0668.49001
[2] L. Collatz: Eigenwertaufgaben mit technischen Anwendungen. 2nd Leipzig, Geert and Portig 1963. · Zbl 0172.19702
[3] L. Collatz: Functional Analysis and Numerical Mathematics. New York, Academic Press 1966. · Zbl 0148.39002
[4] Z. Vospěl: Some Eigenvalue Estimates for Partial Differential Equations of the Form \(Au - \lambda Bu = 0\). Dissertation, Technical University Prague, 1978.
[5] P. G. Ciarlet M. H. Schulz R. S. Varga: Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems. Part III, Eigenvalue Problems. Num. Math 12 (1968), 120-133. · Zbl 0181.18303 · doi:10.1007/BF02173406 · eudml:131873
[6] A. K. Azis: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations. Part I by I. Babuška and A. K. Azis, 3-359. Academic Press, New York-London, 1972.
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