Abstract
The eigenvalue problem considered in this paper contains both spectral parameter \(\lambda \) as well as \(\lambda ^2\). A method for linearization is presented and finite element approximation is used. Error estimate of eigenpairs is proved. Computational aspects for more general problems in this type are discussed. Finally, for purpose of illustration numerical implementation is given.
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Andreev, A.B., Racheva, M.R. (2021). Finite Element Approximation for the Sturm-Liouville Problem with Quadratic Eigenvalue Parameter. In: Dimov, I., Fidanova, S. (eds) Advances in High Performance Computing. HPC 2019. Studies in Computational Intelligence, vol 902. Springer, Cham. https://doi.org/10.1007/978-3-030-55347-0_31
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DOI: https://doi.org/10.1007/978-3-030-55347-0_31
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