A local discontinuous Galerkin method based on variational structure
Yoshifumi Aimoto Takayasu Matsuo Yuto Miyatake
We present a special variant of the local discontinuous Galerkin (LDG) method for time-dependent partial differential equations with certain variational structures and associated conservation or dissipation properties. The method provides a way to construct fully-discrete LDG schemes that retain discrete counterparts of the conservation or dissipation properties. Numerical results confirm the accuracy and effectiveness of the method.
keywords: conservative structure-preserving Discontinuous Galerkin method dissipative. variational structure

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