On a stabilization effect of thin submeshes for convection-diffusion problems (Q2764469)
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scientific article; zbMATH DE number 1690455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a stabilization effect of thin submeshes for convection-diffusion problems |
scientific article; zbMATH DE number 1690455 |
Statements
28 July 2002
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stabilization
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convection-diffusion problems
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singular perturbation
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wrongly placed fine mesh
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On a stabilization effect of thin submeshes for convection-diffusion problems (English)
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This paper deals with the singularly perturbed problem NEWLINE\[NEWLINE-\varepsilon u''- b(x) u'+ c(x)u= f(x)\quad\text{in }(0,1),\;u(0)= u(1)= 0,NEWLINE\]NEWLINE \(\varepsilon\) a small positive parameter, \(b(x)\geq 1\). On two pages the author gives an answer to the question ``\dots what happens if we use a wrongly placed fine mesh, that means a finite mesh not placed in the layer region bu tsomewhere else?''.
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