Benchmark results for testing adaptive finite element eigenvalue procedures

作者: Stefano Giani , Luka Grubišić , Jeffrey S. Ovall

DOI: 10.1016/J.APNUM.2011.10.007

关键词:

摘要: A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue computations a collection benchmark examples. After demonstrating effectivity our computed error estimates few well-studied examples, we present results several examples in which coefficients partial-differential operators are discontinuous. The problems considered here put forward as benchmarks upon other adaptive methods computing eigenvalues may be tested, compared to own.

参考文章(47)
Martin Petzoldt, A Posteriori Error Estimators for Elliptic Equations with Discontinuous Coefficients Advances in Computational Mathematics. ,vol. 16, pp. 47- 75 ,(2002) , 10.1023/A:1014221125034
Vincent Heuveline, Rolf Rannacher, A posteriori error control for finite element approximations of elliptic eigenvalue problems Advances in Computational Mathematics. ,vol. 15, pp. 107- 138 ,(2001) , 10.1023/A:1014291224961
Vincent Bruneau, Gilles Carbou, Spectral asymptotic in the large coupling limit Asymptotic Analysis. ,vol. 29, pp. 91- 113 ,(2002)
J. F. Brasche, R. Figari, A. Teta, Singular Schrödinger Operators as Limits Point Interaction Hamiltonians Potential Analysis. ,vol. 8, pp. 163- 178 ,(1998) , 10.1023/A:1008654423238
Michael Demuth, Maddaly Krishna, Determining Spectra in Quantum Theory ,(2005)
Hervé Reinhard, Equations aux dérivées partielles Dunod. ,(1987)
Habib Ammari, Hyeonbae Kang, Hyundae Lee, Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening Archive for Rational Mechanics and Analysis. ,vol. 193, pp. 679- 714 ,(2009) , 10.1007/S00205-008-0179-4
Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Hyundae Lee, Vibration testing for anomaly detection Mathematical Methods in The Applied Sciences. ,vol. 32, pp. 863- 874 ,(2009) , 10.1002/MMA.1070