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A second order sche...
A second order scheme for a time-dependent, singularly perturbed convection-diffusion equation
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- Lenferink, Wilhelmus (författare)
- Linköpings universitet,Tekniska högskolan,Beräkningsvetenskap
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(creator_code:org_t)
- 2002
- 2002
- Engelska.
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Ingår i: Journal of Computational and Applied Mathematics. - 0377-0427 .- 1879-1778. ; 143:1, s. 49-68
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Nyckelord
- Convection-diffusion
- Initial-boundary value problem
- Second order scheme
- Singular perturbation
- TECHNOLOGY
- TEKNIKVETENSKAP
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