Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
Access this Article
Search this Article
General error estimates are proved for a class of finite element schemes for nonstationary thermal convection problems with temperature-dependent coefficients. These variable coefficients turn the diffusion and the buoyancy terms to be nonlinear, which increases the nonlinearity of the problems. An argument based on the energy method leads to optimal error estimates for the velocity and the temperature without any stability conditions. Error estimates are also provided for schemes modified by approximate coefficients, which are used conveniently in practical computations.
- Numerische Mathematik
Numerische Mathematik 100(2), 351-372, 2005-02-28