readme.tex

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\begin{document}
\title{Read Me of MATAFEM@beta}
\author{Long Chen}
\date{}
\maketitle

MATAFEM standards for MATLAB Adaptive Finite Element Methods. The current version contains main ingredients of AFEM written in simple but efficient MATLAB functions.

The structure is:
\begin{itemize}
\item Main program: crack.m
\item Main subroutines: Poisson.m (SOLVE), estimate.m (ESTIMATE), bisection.m (MARK \& REFINE).
\item Other subroutines: label.m (called by bisection.m), updatebd.m (called by crack.m)
\end{itemize}

Detailed documentation can be found at the reference directory. It contains two papers. One discuss the implementation of FEM and another one on the bisection. You can find line by line explanation of most of those matlab functions. 

 You are very welcome to join the development of this package. For example, there are several things to be finished:
\begin{enumerate}
\item Write a subroutine to compute the error $\|\nabla u-\nabla u_h\|$ providing the true solution is known. Verify the convergence rate of AFEM.
\item Implement Bank-Xu post-processing on general grids in the estimate step.
\item General second order elliptic equations.
\end{enumerate}


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