Abstract Geometry multigrid method is designed for solving the quadratic Lagrangian finite element equation. Firstly, quadratic Lagrangian finite element space and a series of linear Lagrangian finite element spaces are selected as finest grid and coarse grids, respectively. Secondly, a new restriction operator and a geometry multigrid (GMG01) method are proposed, and the calculation of GMG01 method is discussed. Numerical experiments are shown to verify accuracy and stability of GMG01 method, compared with usual GMG and AMG01 methods.
LI Ming, CUI Xiang-zhao, LI Chen-liang, Zhao Jin-e. Geometry multigrid method for solving quadratic Lagrangian finite element equation. Applied Mathematics A Journal of Chinese Universities, 2014, 29(4): 412-418.
