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.
|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 Web site:||http://dx.doi.org/10.1007/s00607-012-0260-6|
|Publisher statement:||The final publication is available at Springer via http://dx.doi.org/10.1007/s00607-012-0260-6.|
|Record Created:||20 Apr 2015 09:35|
|Last Modified:||20 Apr 2015 10:42|
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