Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients

Author:

Babuška I.,Osborn J. E.

Abstract

The eigenvalues of a second order differential equation are approximated by "factoring" the second order equations into a first order system and then applying the Ritz-Galerkin method to this system. Convergence results and error estimates are derived. These error estimates are based on the application of Sobolev spaces with variable order.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference30 articles.

1. Homogenization and its application. Mathematical and computational problems;Babuška, Ivo,1976

2. I. BABUŠKA & A. K. AZIZ, "Survey lectures on the mathematical foundations of the finite element method," The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A. K. Aziz, Editor), Academic Press, New York, 1973, pp. 5-359.

3. Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems;Babuška, I.;Comput. Methods Appl. Mech. Engrg.,1977

4. A bound on the 𝐿_{∞}-norm of 𝐿₂-approximation by splines in terms of a global mesh ratio;de Boor, Carl;Math. Comp.,1976

5. Rate of convergence estimates for nonselfadjoint eigenvalue approximations;Bramble, J. H.;Math. Comp.,1973

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