Spectral element discretization of the heat equation with variable diffusion coefficient

Commentationes mathematicae Universitatis Carolinae

Y. Daikh¹ 

关键词: heat equation;    diffusion coefficient;    spectral element methods;    a priori estimates;   

DOI  :  10.14712/1213-7243.2015.160

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

We are interested in the discretization of the heat equation with a~diffusion coefficient depending on the space and time variables. The discretization relies on a spectral element method with respect to the space variables and Euler's implicit scheme with respect to the time variable. A~detailed numerical analysis leads to optimal a priori error estimates.

【 授权许可】

CC BY