@Article{EAJAM-6-353, author = {}, title = {An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {4}, pages = {353--366}, abstract = {

AMG preconditioners are typically designed for partial differential equation solvers and divergence-interpolation in a moving mesh strategy. Here we introduce an AMG preconditioner to solve the unsteady Navier-Stokes equations by a moving mesh finite element method. A $4P1$ − $P1$ element pair is selected based on the data structure of the hierarchy geometry tree and two-layer nested meshes in the velocity and pressure. Numerical experiments show the efficiency of our approach.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.080416.240516a}, url = {http://global-sci.org/intro/article_detail/eajam/10804.html} }