dc.contributor.author | Panaseti, Pandelitsa | en |
dc.contributor.author | Zouvani, A. | en |
dc.contributor.author | Madden, N. | en |
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Panaseti, Pandelitsa | en |
dc.creator | Zouvani, A. | en |
dc.creator | Madden, N. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:37:15Z | |
dc.date.available | 2019-12-02T10:37:15Z | |
dc.date.issued | 2016 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57355 | |
dc.description.abstract | We consider a fourth order singularly perturbed boundary value problem (BVP) in one-dimension and the approximation of its solution by the hp version of the Finite Element Method (FEM). The given problem's boundary conditions are not suitable for writing the BVP as a second order system, hence the approximation will be sought from a finite dimensional subspace of the Sobolev space H2. We construct suitable C1 hierarchical basis functions for the approximation and we show that the hp FEM on the Spectral Boundary Layer Mesh yields a robust approximation that converges exponentially in the energy norm, as the number of degrees of freedom is increased. Numerical examples that validate (and extend) the theory are also presented. © 2016 IMACS | en |
dc.source | Applied Numerical Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84958268065&doi=10.1016%2fj.apnum.2016.02.002&partnerID=40&md5=8706855b2c0c2f57b15eadc463e2a9fe | |
dc.subject | Perturbation techniques | en |
dc.subject | Second-order systemss | en |
dc.subject | Finite element method | en |
dc.subject | Boundary value problems | en |
dc.subject | Boundary layers | en |
dc.subject | Degrees of freedom (mechanics) | en |
dc.subject | Mesh generation | en |
dc.subject | Sobolev spaces | en |
dc.subject | Exponential convergence | en |
dc.subject | hp finite element method | 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 | Fourth order singularly perturbed boundary value problem | en |
dc.subject | Number of degrees of freedom | en |
dc.subject | Spectral Boundary Layer Mesh | en |
dc.title | A C1-conforming hp finite element method for fourth order singularly perturbed boundary value problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.apnum.2016.02.002 | |
dc.description.volume | 104 | |
dc.description.startingpage | 81 | |
dc.description.endingpage | 97 | |
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.source.abbreviation | Appl Numer Math | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |