Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/444

 Title: Some Computational Aspects of the Consistent Mass Finite Element Method for a (semi-)periodic Eigenvalue Problem Authors: De Schepper, H. Keywords: Eigenvalue ProblemsPeriodic Boundary ConditionsCirculant Matrices Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 2, (1999), 177p-184p Abstract: We consider a model eigenvalue problem (EVP) in 1D, with periodic or semi–periodic boundary conditions (BCs). The discretization of this type of EVP by consistent mass finite element methods (FEMs) leads to the generalized matrix EVP Kc = λ M c, where K and M are real, symmetric matrices, with a certain (skew–)circulant structure. In this paper we fix our attention to the use of a quadratic FE–mesh. Explicit expressions for the eigenvalues of the resulting algebraic EVP are established. This leads to an explicit form for the approximation error in terms of the mesh parameter, which confirms the theoretical error estimates, obtained in [2]. URI: http://hdl.handle.net/10525/444 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 2

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