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The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of
Discontinuous Galerkin Methods
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A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in suc
Nodal Discontinuous Galerkin Methods
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This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for th
Mathematical Aspects of Discontinuous Galerkin Methods
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This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The p
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
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Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the nu