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Some estimates for resolvent operators under the discretization by finite element method

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This paper is devoted to obtain some norm estimates for the difference between the two resolvent operators under the discretization of the domain \(\varOmega \subset \mathbb {R}^n\), \(n\geqslant 2\), by finite element method.

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Acknowledgments

We are grateful to the anonymous referees for a number of helpful suggestions for improvement in this article. The first author was partially supported by FAPESP (Brazil) through the research grant 09/08088-9 and the second author was partially supported by FAPESP (Brazil) through the research grant 09/08435-0.

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Correspondence to R. Figueroa-López.

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Communicated by Ruben Spies.

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Figueroa-López, R., Lozada-Cruz, G. Some estimates for resolvent operators under the discretization by finite element method. Comp. Appl. Math. 34, 1105–1116 (2015). https://doi.org/10.1007/s40314-014-0168-1

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  • DOI: https://doi.org/10.1007/s40314-014-0168-1

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