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Distinguished list of authors who are leading researchers on discontinuous Galerkin finite element methods
Several papers in the volume are survey papers on different aspects of discontinuous Galerkin finite element methods
The volume covers a broad aspects of discontinuous Galerkin finite element methods including method development and design, practical implementation, and emerging applications of discontinuous Galerkin finite element methods
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.
Content Level »Research
Keywords »A Priori and a Posteriori Error Estimates - Adaptivity - Discontinuous Galerkin Methods - Partial Differential Equations