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HDG-NEFEM with degree adaptivity for stokes flows
dc.contributor.author | Sevilla Cárdenas, Rubén |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2018-05-18T11:13:03Z |
dc.date.available | 2019-02-07T01:30:35Z |
dc.date.issued | 2018-02-07 |
dc.identifier.citation | Sevilla, R., Huerta, A. HDG-NEFEM with degree adaptivity for stokes flows. "Journal of scientific computing", Desembre 2018, vol. 77, núm. 3, p. 1953-1980. |
dc.identifier.issn | 0885-7474 |
dc.identifier.uri | http://hdl.handle.net/2117/117357 |
dc.description | The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-018-0657-2 |
dc.description.abstract | The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique completely eliminates the uncertainty induced by a polynomial approximation of curved boundaries that is common within an isoparametric approach and, compared to other DG methods, provides a significant reduction in number of degrees of freedom. In addition, by exploiting the ability of HDG to compute a postprocessed solution and by using a local a priori error estimate valid for elliptic problems, an inexpensive, reliable and computable error estimator is devised. The proposed methodology is used to solve Stokes flow problems using automatic degree adaptation. Particular attention is paid to the importance of an accurate boundary representation when changing the degree of approximation in curved elements. Several strategies are compared and the superiority and reliability of HDG-NEFEM with degree adaptation is illustrated. |
dc.format.extent | 27 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject.lcsh | Difference equations, Partial--Numerical solutions |
dc.subject.other | Reduced Order Models |
dc.subject.other | Proper Generalized Decomposition |
dc.subject.other | Domain Decomposition |
dc.subject.other | Parameterized solutions |
dc.title | HDG-NEFEM with degree adaptivity for stokes flows |
dc.type | Article |
dc.subject.lemac | Equacions diferencials parcials--solucions numèriques |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s10915-018-0657-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems |
dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs10915-018-0657-2 |
dc.rights.access | Open Access |
local.identifier.drac | 22321842 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Sevilla, R.; Huerta, A. |
local.citation.publicationName | Journal of scientific computing |
local.citation.volume | 77 |
local.citation.number | 3 |
local.citation.startingPage | 1953 |
local.citation.endingPage | 1980 |
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