Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776670 | Applied Numerical Mathematics | 2017 | 17 Pages |
Abstract
The unconditional convergence of finite element method for two-dimensional time-dependent viscoelastic flow with an Oldroyd B constitutive equation is given in this paper, while all previous works require certain time-step restrictions. The approximation is stabilized by using the Discontinuous Galerkin (DG) approximation for the constitutive equation. The analysis bases on a splitting of the error into two parts: the error from the time discretization of the PDEs and the error from the finite element approximation of corresponding iterated time-discrete PDEs. The approach used in this paper can be applied to more general couple nonlinear parabolic and hyperbolic systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Haibiao Zheng, Jiaping Yu, Li Shan,