% formatted on 970304 by morris
\documentstyle{article}
\setcounter{page}{52}
\textheight 9.5in
\textwidth 5.75in
\voffset -1in
\hoffset -0.55in
%\documentstyle{llncs}
\title{An efficient finite element approach for solving interface problems}
\author{Zhiming Chen \\
\and Jun Zou \\
Department of Mathematics, The Chinese University of Hong Kong \\
Shatin, N.T., Hong Kong
}
\begin{document}
\date{}
\maketitle
In this talk, we will present an efficient finite element method for solving
elliptic and parabolic interface problems of second order in convex polygonal
domains. Under some practical assumptions on the finite element triangulations,
we show that the method achieves nearly the same optimal convergence in both
L2 and energy norms as for regular problems. The interfaces can be of
arbitrary shape but has to be smooth, though in the case the regularities of
the solutions are very low globally. some numerical experiments will be given
to show the efficiency of the numerical method.
\end{document}