\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Tailored finite point method for the interface problem

Abstract Related Papers Cited by
  • In this paper, we propose a tailored-finite-point method for a numerical simulation of the second order elliptic equation with discontinuous coefficients. Our finite point method has been tailored to some particular properties of the problem, then we can get the approximate solution with the same behaviors as that of the exact solution very naturally. Especially, in one-dimensional case, when the coefficients are piecewise linear functions, we can get the exact solution with only one point in each subdomain. Furthermore, the stability analysis and the uniform convergence analysis in the energy norm are proved. On the other hand, our computational complexity is only $\O(N)$ for $N$ discrete points. We also extend our method to two-dimensional problems.
    Mathematics Subject Classification: Primary: 65N22, 65N35; Secondary: 35J25.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(64) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return