Stability analysis and error estimates of a projection based variational multiscale method for Oseen equations in moving domains
Analysis of PDEs
2019-05-28 v1
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.
Keywords
Cite
@article{arxiv.1905.10589,
title = {Stability analysis and error estimates of a projection based variational multiscale method for Oseen equations in moving domains},
author = {Birupaksha Pal and Sashikumaar Ganesan},
journal= {arXiv preprint arXiv:1905.10589},
year = {2019}
}