TY - JOUR
T1 - A Parallel Variational Multiscale Method for Incompressible Flows Based on the Partition of Unity
AU - C. Xie & H. Zheng
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 854
EP - 865
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/555.html
KW - Incompressible flows, variational multiscale method, local and parallel, partition of unity, oversampling.
AB - <p style="text-align: justify;">A parallel variational multiscale method based on the partition of unity is proposed for incompressible flows in this paper. Based on two-grid method, this algorithm localizes the global
residual problem of variational multiscale method into a series of local linearized residual problems.
To decrease the undesirable effect of the artificial homogeneous Dirichlet boundary condition of
local sub-problems, an oversampling technique is also introduced. The globally continuous finite
element solutions are constructed by assembling all local solutions together using the partition of
unity functions. Numerical simulations demonstrate the high efficiency and flexibility of the new
algorithm.</p>