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On the domain geometry dependence of the LBB condition

Evgenii V. ChizhonkovMaxim A. Olshanskii — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

The LBB condition is well-known to guarantee the stability of a finite element (FE) velocity - pressure pair in incompressible flow calculations. To ensure the condition to be satisfied a certain constant should be positive and mesh-independent. The paper studies the dependence of the LBB condition on the domain geometry. For model domains such as strips and rings the substantial dependence of this constant on geometry aspect ratios is observed. In domains with highly anisotropic substructures...

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