dc.contributor.author | Xenophontos, Christos A. | en |
dc.contributor.author | Melenk, M. | en |
dc.contributor.author | Madden, N. | en |
dc.contributor.author | Oberbroeckling, L. | en |
dc.contributor.author | Panaseti, Pandelitsa | en |
dc.contributor.author | Zouvani, A. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.creator | Melenk, M. | en |
dc.creator | Madden, N. | en |
dc.creator | Oberbroeckling, L. | en |
dc.creator | Panaseti, Pandelitsa | en |
dc.creator | Zouvani, A. | en |
dc.date.accessioned | 2019-12-02T10:38:53Z | |
dc.date.available | 2019-12-02T10:38:53Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0302-9743 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57786 | |
dc.description.abstract | We consider fourth order singularly perturbed boundary value problems (BVPs) in one-dimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem's boundary conditions are suitable for writing the BVP as a second order system, then we construct an hp FEM on the so-called Spectral Boundary Layer Mesh that gives a robust approximation that converges exponentially in the energy norm, provided the data of the problem is analytic. We also consider the case when the BVP is not written as a second order system and the approximation belongs to a finite dimensional subspace of the Sobolev space H2. For this case we construct suitable C1-conforming hierarchical basis functions for the approximation and we again illustrate that the hp FEM on the Spectral Boundary Layer Mesh yields a robust approximation that converges exponentially. A numerical example that validates the theory is also presented. © 2013 Springer-Verlag. | en |
dc.source | 5th International Conference on Numerical Analysis and Applications, NAA 2012 | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84886852577&doi=10.1007%2f978-3-642-41515-9_61&partnerID=40&md5=2e144920fe8910817e10446ef11e4856 | |
dc.subject | Perturbation techniques | en |
dc.subject | Second-order systemss | en |
dc.subject | Finite dimensional | en |
dc.subject | Finite element method | en |
dc.subject | Boundary value problems | en |
dc.subject | Boundary layers | en |
dc.subject | Hp version of the finite element methods | en |
dc.subject | Hp-finite element methods | en |
dc.subject | Singularly perturbed boundary value problems | en |
dc.subject | Robust approximations | en |
dc.subject | Hierarchical basis | en |
dc.subject | One-Dimension | en |
dc.title | hp finite element methods for fourth order singularly perturbed boundary value problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/978-3-642-41515-9_61 | |
dc.description.volume | 8236 LNCS | en |
dc.description.startingpage | 532 | |
dc.description.endingpage | 539 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Conference code: 100555</p> | en |
dc.source.abbreviation | Lect. Notes Comput. Sci. | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |