Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients | Zendy

Masahisa Tabata | Zendy; Daisuke Tagami | Zendy

Open Access

Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Author(s) -

Masahisa Tabata,

Daisuke Tagami

Publication year - 2005

Publication title -

numerische mathematik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.214

H-Index - 90

eISSN - 0945-3245

pISSN - 0029-599X

DOI - 10.1007/s00211-005-0589-2

Subject(s) - mathematics , finite element method , nonlinear system , computation , convection , buoyancy , thermal , stability (learning theory) , numerical analysis , mathematical analysis , mechanics , thermodynamics , physics , algorithm , quantum mechanics , machine learning , computer science

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research