On the LBB constant on stretched domains

Manfred Dobrowolski · Mathematische Nachrichten · 2003

Abstract 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.

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