arXiv subjects

T. T. P. Hoang

Publications and source records attributed to T. T. P. Hoang.

2 recordsLinked to original sources

arXiv2014

A staggered finite element cell-centered scheme for nearly incompressible elasticity on general meshes

We apply the finite element cell-centered (FECC) scheme [2] to the solution of the nearly incompressible elasticity problem. By applying a technique of dual mesh, such a low-order finite element scheme can be constructed from any given mesh and it is proved to satisfy the "macroelement condition" [5], meaning that the stability condition is fulfilled. Numerical results show that the method, which is simple to implement, is effective in terms of accuracy and computational cost compared with other methods.

math.NA↗

arXiv2014

The Penalty Cell-Centered Finite Element Scheme For Stokes Problem On General Meshes

The paper is devoted to the penalty cell-centered finite element scheme (pFECC)on general meshes for the stationary Stokes problems with an incompressible variable viscosity and Dirichlet boundary conditions. In the objectives of this work, we show the rigorous mathematical analysis including the existence, the uniqueness of a discrete solution of the problem, the symmetric and the positive definite stiffness matrix, convergence of the pFECC scheme.

math.NA↗