Abstract
This paper is intended to provide an investigation to the application of an extended Crouzeix-Raviart (EC-R) nonconforming finite element. Integral degrees of freedom are used, which yields some superclose properties. The considered finite element basis contains an integral type bubble function. The approximate eigenvalues obtained by means of this nonconforming method give asymptotically lower bounds of the exact eigenvalues. It is considerable easier to obtain upper bounds for eigenvalues using variational numerical methods. That is why approximations from below are very valued and useful. Finally, computational aspects are discussed and numerical examples are presented.
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Andreev, A.B., Racheva, M.R. (2012). Properties and Estimates of an Integral Type Nonconforming Finite Element. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_59
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DOI: https://doi.org/10.1007/978-3-642-29843-1_59
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