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\title{A Lagrangian-Eulerian Galerkin Finite Element Method for the Two-Dimensional Shallow Water Equations - including a moving boundary representation}

\author{Mark Trew \and Michael O'Sullivan}

\begin{document}

\maketitle

\begin{abstract}
  Many Galerkin Finite Element numerical models of the Shallow Water Equations
  using mixed order interpolations have been developed. This paper presents a
  further mixed order interpolation Galerkin Finite Element method that
  includes an integration based Lagrangian advective model. The expected
  influence of this on numerical behaviour is considered. This
  Lagrange-Eulerian Galerkin Finite Element Method for the Shallow Water
  Equations is further enhanced by a technique for moving boundary
  representation.
\end{abstract}

\section{Introduction}
\section{The Propagation and Advective Transport Contributions to the Shallow
  Water Equations}
\section{A Discrete Set of Equations}
\section{The Moving Boundary}
\section{Applications}
\section{Conclusions}

\end{document}