BROWSE

Related Researcher

Author's Photo

Jung, Chang-Yeol
Analysis and computational methods Lab
Research Interests
  • Analysis, singular perturbations, uncertainty, numerical methods

ITEM VIEW & DOWNLOAD

Singular perturbation of semi-linear reaction-convection equations in a channel and numerical applications

Cited 0 times inthomson ciCited 2 times inthomson ci
Title
Singular perturbation of semi-linear reaction-convection equations in a channel and numerical applications
Author
Jung, Chang-YeolPham, D.
Issue Date
2007-03
Publisher
KHAYYAM PUBL CO INC
Citation
ADVANCES IN DIFFERENTIAL EQUATIONS, v.12, no.3, pp.265 - 300
Abstract
In this article, we investigate a way to analyze and approximate singularly perturbed convection-diffusion equations in a channel domain when a nonlinear reaction term with polynomial growth is present. We verify that the boundary layer structures are governed by certain simple recursive linear equations and this simplicity implies explicit pointwise and norm estimates. Furthermore, we can utilize the boundary layer structures (elements) in the finite elements discretizations which lead to the stability in the approximating systems and accurate approximation solutions with an economical mesh design, i.e., uniform mesh.
URI
https://scholarworks.unist.ac.kr/handle/201301/8595
URL
https://projecteuclid.org/euclid.ade/1355867465
ISSN
1079-9389
Appears in Collections:
MTH_Journal Papers
Files in This Item:
There are no files associated with this item.

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU