Title : ( Adaptive level set method with local time step refinement for time depenedent PDEs )
Authors: Ali Reza Soheili , M. A. Ameri ,
Full TextAbstract
In this paper, we propose an adaptive mesh approach for time dependent partial differential equations, based on a so-called moving mesh PDE(MMPDE) and the level set method. It means that the velocity of mesh nodes is calculated by MMPDE and is employed as velocity in the level set equation. Then, at each time level, the mesh points are considered as the level contours of the level set function. Finally the mentioned method is merged with local time step technique.
Keywords
, moving mesh, time step refinement
@inproceedings{paperid:1016456,
author = {Soheili, Ali Reza and M. A. Ameri},
title = {Adaptive level set method with local time step refinement for time depenedent PDEs},
booktitle = {4th iranian conference on applied mathematics},
year = {2010},
location = {zahedan, IRAN},
keywords = {moving mesh; time step refinement},
}
%0 Conference Proceedings
%T Adaptive level set method with local time step refinement for time depenedent PDEs
%A Soheili, Ali Reza
%A M. A. Ameri
%J 4th iranian conference on applied mathematics
%D 2010
