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The field of discontinuous Galerkin finite element methods has
attracted considerable recent attention from scholars in the
applied sciences and engineering. This volume brings together
scholars working in this area, each representing a particular theme
or direction of current research. Derived from the 2012 Barrett
Lectures at the University of Tennessee, the papers reflect the
state of the field today and point toward possibilities for future
inquiry. The longer survey lectures, delivered by Franco Brezzi and
Chi-Wang Shu, respectively, focus on theoretical aspects of
discontinuous Galerkin methods for elliptic and evolution problems.
Other papers apply DG methods to cases involving radiative
transport equations, error estimates, and time-discrete higher
order ALE functions, among other areas. Combining focused case
studies with longer sections of expository discussion, this book
will be an indispensable reference for researchers and students
working with discontinuous Galerkin finite element methods and its
applications.
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