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• W2113812464 abstract "Abstract. In this paper we present a theoretical framework for the analysis of the numerical approximations of a particular class of eigenvalue problems by mixed/hybrid methods. More precisely, we are interested in eigenproblems which are defined over curved domains or have internal curved boundaries and which may be associated with non-compact inverse operators. To do this, we consider external domain approximations $Omega _{h}$ of the original domain $Omega $ , i.e., $Omega _{h} lnot subset Omega $ . Sufficient conditions to ensure good convergence properties and optimal error bounds for the external approximations of the eigenfunction/eigenvalue pairs are established. Then, these results are applied to the study of the Stokes eigenvalue problem with slip boundary condition defined on a curved non-convex two-dimensional domain." @default.
• W2113812464 created "2016-06-24" @default.
• W2113812464 creator A5029500508 @default.
• W2113812464 creator A5036005223 @default.
• W2113812464 date "2014-01-01" @default.
• W2113812464 modified "2023-10-14" @default.
• W2113812464 title "Mixed Finite Element Analysis of Eigenvalue Problems on Curved Domains" @default.
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• W2113812464 doi "https://doi.org/10.1515/cmam-2013-0014" @default.
• W2113812464 hasPublicationYear "2014" @default.
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