TY - JOUR T1 - An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method JO - East Asian Journal on Applied Mathematics VL - 4 SP - 353 EP - 366 PY - 2018 DA - 2018/02 SN - 6 DO - http://doi.org/10.4208/eajam.080416.240516a UR - https://global-sci.org/intro/article_detail/eajam/10804.html KW - Navier-Stokes system, algebraic multigrid precondition, moving mesh. AB -

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.