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arXiv · 1905.10589

Stability analysis and error estimates of a projection based variational multiscale method for Oseen equations in moving domains

Birupaksha Pal·Sashikumaar Ganesan
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Abstract

Stability and error estimate for the Oseen equations in a projection based variational setup has been derived in this paper. The use of Geometric Conservation Law (GCL) provides unconditional stability whereas without using GCL we have a conditional scheme which imposes restriction on the time step. Further using the stability results derived, we make the first order error estimate using a backward Euler time discretization scheme.

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Birupaksha Pal, Sashikumaar Ganesan. 2019-05-25. Stability analysis and error estimates of a projection based variational multiscale method for Oseen equations in moving domains. https://arxiv.org/abs/1905.10589

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