Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces

@article{Hou2010NumericalMF,
  title={Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces},
  author={Songming Hou and Wei Wang and Liqun Wang},
  journal={J. Comput. Physics},
  year={2010},
  volume={229},
  pages={7162-7179}
}
Solving elliptic equations with sharp-edged interfaces is a challenging problem for most existing methods, especially when the solution is highly oscillatory. Nonetheless, it has wide applications in engineering and science. An accurate and efficient method is desired. We propose an efficient non-traditional finite element method with non-body-fitting grids to solve the matrix coefficient elliptic equations with sharp-edged interfaces. Extensive numerical experiments show that this method is… CONTINUE READING