@Article{JICS-3-3,
author = {},
title = {A numerical approach to solving an inverse parabolic problem using finite differential method},
journal = {Journal of Information and Computing Science},
year = {2008},
volume = {3},
number = {3},
pages = {215--224},
abstract = {Runge-Kutta discontinuous Galerkin (RKDG) finite element method for hyperbolic conservation 
laws is a high order method, which can handle complicated geometries flexibly and treat boundary conditions 
easily.  In  this  paper,  we  propose  a  new  numerical  method  for  treating  interface  using  the  advantages  of 
RKDG finite element method. We use level set method to track the moving interface. In every time step, a 
Riemann problem at the interface is defined. The two cells adjacent to the interface are computed using the 
Riemann problem solver. If the interface crosses a cell in the next time step, the values of the flow variables 
of the cell crossed are modified through linear interpolation. Othewise, we do nothing.  
},
issn = {1746-7659},
doi = {https://doi.org/2024-JICS-22770},
url = {https://global-sci.com/article/87501/a-numerical-approach-to-solving-an-inverse-parabolic-problem-using-finite-differential-method}
}