Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients

Babuška, I.; Osborn, J. E.

doi:10.1090/S0025-5718-1978-0501962-0

Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients
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by I. Babuška and J. E. Osborn PDF

Math. Comp. 32 (1978), 991-1023 Request permission

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.

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