Completeness of Structural Solutions in Boundary-Value Problems for Domains of Special Form

Completeness of Structural Solutions in Boundary-Value Problems for Domains of Special Form

General structures of solutions (GSS) of mathematical physics boundary-value problems in domains containing thin cuts, small cracks, hollows, etc. are considered. It is shown that in such cases, the classic L. V. Kantorovich GSS leads to incompleteness of structure formulas. New complete structure f...

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Veröffentlicht in:Cybernetics and systems analysis 2001-07, Vol.37 (4), p.551
Hauptverfasser: Rvachev, V L, Mikhal', E O
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical models
Solutions
Studies
Systems analysis
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Zusammenfassung:General structures of solutions (GSS) of mathematical physics boundary-value problems in domains containing thin cuts, small cracks, hollows, etc. are considered. It is shown that in such cases, the classic L. V. Kantorovich GSS leads to incompleteness of structure formulas. New complete structure formulas are proposed for the domains. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337
DOI:10.1023/A:1012733821886