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Uniformly stable approximation for a linear viscoelastic model

✍ Scribed by R.H. Fabiano

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
302 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

We consider an equation arising in linear viscoelasticity. Recently it has been shown that the semigroup for this model is exponentially stable, and that a certain semidiscrete approximation scheme preserves the stability uniformly in the discretization parameter. However, that uniform stability result requires two technical assumptions, which have been verified only for a limited class of viscoelastic kernel functions. In this note, we show that one assumption is unnecessary, and the other follows from a simple additional assumption on the kernel, which is easily verified for a large class of functions. (~) 1998 Elsevier Science Ltd. All rights reserved.

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