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- W2034210354 abstract "Abstract. We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh–Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space. In contrast to the classical theory, the approximation error of eigenfunctions other than the given one does not enter into these estimates. The estimates are based on a bound for the norm of a certain projection operator, e.g., in finite element methods for second order eigenvalue problems, the H 1 -norm of the L 2 -projection onto the finite element space." @default.
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- W2034210354 date "2013-10-01" @default.
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- W2034210354 title "A Short Theory of the Rayleigh–Ritz Method" @default.
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- W2034210354 doi "https://doi.org/10.1515/cmam-2013-0013" @default.
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