Multigrid Methods for the Pure Traction Problem of Linear Elasticity: Mixed Formulation

Chang-Ock Lee
1998 SIAM Journal on Numerical Analysis  
A multigrid method using conforming P -1 finite elements is developed for the twodimensional pure traction boundary value problem of linear elasticity. The convergence is uniform even as the material becomes nearly incompressible. A heuristic argument for acceleration of the multigrid method is discussed as well. Numerical results with and without this acceleration as well as performance estimates on a parallel computer are included.
doi:10.1137/s0036142995282832 fatcat:542heuoivzb5vhozkbxnie5toy