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Error control for hp -adaptive approximations of semi-definite eigenvalue problems.

Giani, S. and Grubišić, L. and Ovall, J. (2013) 'Error control for hp -adaptive approximations of semi-definite eigenvalue problems.', Computing., 95 (1). pp. 235-257.


We present reliable TeX-posteriori error estimates for TeX-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems. Our model problems are motivated by applications in photonic crystal eigenvalue computations. We present detailed numerical experiments confirming our theory and give several benchmark results which could serve the purpose of numerical testing of other adaptive procedures.

Item Type:Article
Keywords:Eigenvalue problem, Finite element method, A posteriori error estimates, Primary 65N30, Secondary 65N25, 65N15.
Full text:(AM) Accepted Manuscript
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Publisher statement:The final publication is available at Springer via
Date accepted:No date available
Date deposited:20 April 2015
Date of first online publication:May 2013
Date first made open access:No date available

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