Virtual element method for second-order elliptic eigenvalue problems

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Abstract

We study the virtual element approximation of elliptic eigenvalue problems. The main result of the article states that the virtual element method provides an optimal-order approximation of the eigenmodes. A wide set of numerical tests confirm the theoretical analysis.

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Gardini, F., & Vacca, G. (2018). Virtual element method for second-order elliptic eigenvalue problems. IMA Journal of Numerical Analysis, 38(4), 2026–2054. https://doi.org/10.1093/imanum/drx063

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