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dc.contributor.authorDeng, Quanling
dc.contributor.authorPuzyrev, Vladimir
dc.contributor.authorCalo, Victor
dc.date.accessioned2018-12-13T09:16:09Z
dc.date.available2018-12-13T09:16:09Z
dc.date.created2018-12-12T02:46:52Z
dc.date.issued2019
dc.identifier.citationDeng, Q. and Puzyrev, V. and Calo, V. 2019. Optimal spectral approximation of 2n-order differential operators by mixed isogeometric analysis. Computer Methods in Applied Mechanics and Engineering. 343: pp. 297-313.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/73337
dc.identifier.doi10.1016/j.cma.2018.08.042
dc.description.abstract

© 2018 Elsevier B.V. We approximate the spectra of a class of 2n-order differential operators using isogeometric analysis in mixed formulations. This class includes a wide range of differential operators such as those arising in elliptic, biharmonic, Cahn–Hilliard, Swift–Hohenberg, and phase-field crystal equations. The spectra of the differential operators are approximated by solving differential eigenvalue problems in mixed formulations, which require auxiliary parameters. The mixed isogeometric formulation when applying classical quadrature rules leads to an eigenvalue error convergence of order 2p where p is the order of the underlying B-spline space. We improve this order to be 2p+2 by applying optimally-blended quadrature rules developed in Puzyrev et al. (2017), Caloet al. (0000) and this order is an optimum in the view of dispersion error. We also compare these results with the mixed finite elements and show numerically that the mixed isogeometric analysis leads to significantly better spectral approximations.

dc.publisherElsevier BV
dc.titleOptimal spectral approximation of 2n-order differential operators by mixed isogeometric analysis
dc.typeJournal Article
dcterms.source.volume343
dcterms.source.startPage297
dcterms.source.endPage313
dcterms.source.issn0045-7825
dcterms.source.titleComputer Methods in Applied Mechanics and Engineering
curtin.note

https://creativecommons.org/licenses/by/4.0/

curtin.departmentSchool of Earth and Planetary Sciences (EPS)
curtin.accessStatusOpen access
curtin.contributor.orcidPuzyrev, Vladimir [0000-0002-0264-6126]
curtin.contributor.orcidCalo, Victor [0000-0002-1805-4045]


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