A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem

Abstract

In this paper, based on a two-grid method and a recent local and parallel finite element method, a parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem is proposed and analyzed. This method ensures that all the local subproblems on the fine grid can be solved in parallel. Optimal error bounds of the approximate solution are obtained. Finally, numerical experiments are presented to demonstrate the accuracy and effectiveness of the proposed method.

DOI: 10.1007/s11075-017-0308-y

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Cite this paper

@article{Zuo2017APT, title={A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem}, author={Liyun Zuo and Guangzhi Du}, journal={Numerical Algorithms}, year={2017}, pages={1-15} }