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A second order scheme for a time-dependent, singularly perturbed convection-diffusion equation
Linköpings universitet, Tekniska högskolan. Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap.
2002 (engelsk)Inngår i: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 143, nr 1, s. 49-68Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider a numerical scheme for a one-dimensional, time-dependent, singularly perturbed convection-diffusion problem. The problem is discretized in space by a standard finite element method on a Bakhvalov-Shishkin type mesh. The space error is measured in an L2 norm. For the time integration, the implicit midpoint rule is used. The fully discrete scheme is shown to be convergent of order 2 in space and time, uniformly in the singular perturbation parameter. © 2002 Elsevier Science B.V. All rights reserved.

sted, utgiver, år, opplag, sider
2002. Vol. 143, nr 1, s. 49-68
Emneord [en]
Convection-diffusion, Initial-boundary value problem, Second order scheme, Singular perturbation
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-46995DOI: 10.1016/S0377-0427(01)00502-7OAI: oai:DiVA.org:liu-46995DiVA, id: diva2:267891
Tilgjengelig fra: 2009-10-11 Laget: 2009-10-11 Sist oppdatert: 2017-12-13

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  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
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