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http://dx.doi.org/10.18419/opus-8312
Autor(en): | Sändig, Anna-Margarete |
Titel: | Coefficient formulae for asymptotic expansions of solutions of elliptic boundary value problems near conical points |
Erscheinungsdatum: | 1991 |
Dokumentart: | Konferenzbeitrag |
Erschienen in: | Vichnevetsky, Robert (Hrsg.): Proceedings / 13th IMACS World Congress on Computation and Applied Mathematics : July 22-26, 1991, Trinity College Dublin, Ireland. Vol. 4. Dublin : Criterion Press, 1991, S. 1916-1917 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-99825 http://elib.uni-stuttgart.de/handle/11682/8329 http://dx.doi.org/10.18419/opus-8312 |
Zusammenfassung: | It is well known that singularities are present in solutions of elliptic boundary value problems in domains with conical boundary points. The solution consists of singular terms, which appear in a neighbourhood of a conical point, and a more regular term. The coefficients of the singular terms, the so-called stress intensity factors, are especially of interest for applications. We describe a method, how some of them may be calculated, if the right hand sides are from standard Sobolev spaces. In some cases the coefficients are unstable and a stabilization procedure is necessary.We handle as examples boundary value problems for the Laplace equation in two and three dimensional domains. |
Enthalten in den Sammlungen: | 15 Fakultätsübergreifend / Sonstige Einrichtung |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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saen2.pdf | 1,07 MB | Adobe PDF | Öffnen/Anzeigen |
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