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High-order accurate time-stepping schemes for convection-diffusion problems
dc.contributor.author | Donea, J |
dc.contributor.author | Roig, B |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-07-30T15:23:56Z |
dc.date.available | 2010-07-30T15:23:56Z |
dc.date.created | 2000-02 |
dc.date.issued | 2000-02 |
dc.identifier.citation | Donea, J.; Roig, B.; Huerta, A. High-order accurate time-stepping schemes for convection-diffusion problems. "Computer methods in applied mechanics and engineering", Febrer 2000, vol. 182, núm. 3-4, p. 249-275. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/8502 |
dc.description.abstract | The paper discusses the formulation of high-order accurate time-stepping schemes for transient convection–diffusion problems to be combined with finite element methods of the least-squares type for a stable discretization of highly convective problems. Padé approximations of the exponential function are considered for deriving multi-stage time integration schemes involving first time derivatives only, thus easier to implement in conjunction with C0 finite elements than standard time-stepping schemes which incorporate higher-order time derivatives. After a brief discussion of the stability and accuracy properties of the multi-stage Padé schemes and having underlined the similarity between Padé and Runge–Kutta methods, the paper closes with the presentation of illustrative examples which indicate the effectiveness of the proposed methods. |
dc.format.extent | 27 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Fluid dynamics--Mathematical models |
dc.subject.other | Convection–diffusion |
dc.subject.other | Time-stepping schemes |
dc.subject.other | Padé approximants |
dc.subject.other | Finite elements |
dc.title | High-order accurate time-stepping schemes for convection-diffusion problems |
dc.type | Article |
dc.subject.lemac | Elements finits, Mètode dels |
dc.subject.lemac | Dinàmica de fluids -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/S0045-7825(99)00193-0 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 672287 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Donea, J.; Roig, B.; Huerta, A. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 182 |
local.citation.number | 3-4 |
local.citation.startingPage | 249 |
local.citation.endingPage | 275 |
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