Discontinuous Galerkin Methods for Heat Equations
Speaker: Nattaporn Chuenjarem
The local discontinuous Galerkin (LDG) method, the ultraweak discontinuous Galerkin method and the interior penalty discontinuous Galerkin (IPDG) are popular one for parabolic equations such as the heat equation. However, for special convection-diffusion equations, it is not easy to construct the fluxes in the convection term. To solve this problem, some fluxes-free scheme were introduced such as the central discontinuous Galerkin (CDG) and the staggered discontinuous Galerkin (SDG) methods. However, the cost is too large. In this talk, we modied the LDG method and construct the new scheme on dual meshes but the numerical experiments demonstrate an accuracy degeneration for some special cases. The Fourier analysis will be used to analyze the error. We also demonstrate some ideas to recover the optimal accuracy. Finally, other advantages of the new mesh will be discussed.
Thursday, December 7, 2017 at 1:05 pm to 1:55 pm
Fisher Hall, 127
1400 Townsend Drive, Houghton, MI 49931