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

作者：Hou Songming^*; Wang Wei; Wang Liqun

来源：Journal of Computational Physics, 2010, 229(19): 7162-7179.

DOI：10.1016/j.jcp.2010.06.005

• Elliptic equation
• Sharp-edged interface
• Jump condition
• Matrix coefficient

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 second order accurate in the L(infinity) norm and that it can handle both sharp-edged interface and oscillatory solutions. Published by Elsevier Inc.

• 出版日期2010-9-20