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Mathematics of Computation

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Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients

Authors: I. Babuška and J. E. Osborn
Journal: Math. Comp. 32 (1978), 991-1023
MSC: Primary 65L15
MathSciNet review: 0501962
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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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Article copyright: © Copyright 1978 American Mathematical Society