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On the LBB constant on stretched domains
Author(s) -
Dobrowolski Manfred
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310052
Subject(s) - mathematics , constant (computer programming) , domain (mathematical analysis) , mathematical analysis , channel (broadcasting) , geometry , telecommunications , computer science , programming language
It is proved that the constant in the Ladyzhenskaja–Babuska–Brezzi condition on stretched domains is proportional to a –1 , where a ≥ 1 is the aspect ratio of the stretched domain. In particular, the result is valid for channel domains and plates.