In this paper we prove that the solutions of the finite element method for a classof parabolic equations converge to the solutions of the finite element method for aclass of elliptic equations as t→∞, this makes it ...
详细信息
In this paper we prove that the solutions of the finite element method for a classof parabolic equations converge to the solutions of the finite element method for aclass of elliptic equations as t→∞, this makes it available to get the numericalsolutions of elliptic equations by the difference schemes with intrinsic parallelismwhich initiated by professor Zhou Yulin.
3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapp...
详细信息
3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapping among photon,electron and ion. Owing to the strong nonlinear diffusion coefficients and energy swapping coefficients and strong discontinuous coefficients across media interfaces,this equation is difficult to be solved with high numerical resolution. Based on the parallel adaptive multigrid software framework UG on 2-D unstructured grid, this paper successfully solved such equation with high resolution by combining the finite volume implicit discretization scheme and parallel adaptive multigrid algorithm, and gained much significant results.
暂无评论