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FINITE-ELEMENT METHODS AND MULTI-FIELD APPLICATIONS

Part of: Partial differential equations, boundary value problems

Published online by Cambridge University Press:  20 May 2020

MUHAMMAD ILYAS Open the ORCID record for MUHAMMAD ILYAS [Opens in a new window]
MUHAMMAD ILYAS*
Affiliation:
School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia email [email protected]
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Abstract

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Keywords

finite-element methodPoisson problemNitsche penalty methodgradient recovery methodelasticity problemsixth order problemice shelf vibration problems

MSC classification

Primary: 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Secondary: 65N15: Error bounds
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 1 , August 2020 , pp. 174 - 176
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Newcastle in December 2018; degree approved on 31 May 2019; supervisor Bishnu Lamichhane, associate supervisor Michael Meylan.

References

Ilyas, M. and Lamichhane, B. P., ‘A detailed mixed finite emelemnt method for the Poisson problem based on a three-field formulation’, in: Proceedings of the 12th Biennial Engineering Mathematics and Applications Conference, EMAC-2015, ANZIAM J. 57 (2016), C177–C192.10.21914/anziamj.v57i0.10356CrossRefGoogle Scholar
Ilyas, M., Lamichhane, B. P. and Meylan, M. H., ‘A gradient recovery method based on an oblique projection and boundary modification’, in: Proceedings of the 18th Biennial Computation Techniques and Applications Conference, CTAC-2016, ANZIAM J. 58 (2017), C34–C35.CrossRefGoogle Scholar
Ilyas, M. and Lamichhane, B. P., ‘A three-field formulation of the Poisson problem with Nitsche approach’, in: Proceedings of the 13th Biennial Engineering Mathematics and Applications Conference, EMAC-2017, ANZIAM J. 59 (2018), C128–C142.10.21914/anziamj.v59i0.12645CrossRefGoogle Scholar
Dromiou, J., Ilyas, M., Lamichhane, B. P. and Wheeler, G. E., ‘A mixed finite element method for a sixth-order elliptic problem’, IMA J. Numer. Anal. 39(1) (2017), 374–397.CrossRefGoogle Scholar
Ilyas, M., Meylan, M. H., Lamichhane, B. P. and Bennetts, L. G., ‘Time-domain and modal response of ice shelves to wave forcing using the finite element method’, J. Fluids Struct. 80 (2018), 113–131.10.1016/j.jfluidstructs.2018.03.010CrossRefGoogle Scholar