The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generalit
Compact Hankel operators on multiply connected domains
โ Scribed by Huiping Li
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 219 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
In this paper, an equivalent condition for collectively compact Hankel operator sequences is given. Our result extends the well-known characterization of single compact Hankel operators due to Hartman.
We present a collocation approach to the numerical solution of the Helmholtz eigenvalue problem on multiply connected domains of arbitrary shape in two dimensions. A suitable representation of the Helmholtz equation on an uniform grid is obtained and the problem is converted to the calculation of th
The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In thi