A LOCAL DISCONTINUOUS GALERKIN METHOD BASED ON VARIATIONAL STRUCTURE

作者：Aimoto Yoshifumi^*; Matsuo Takayasu; Miyatake Yuto

来源：Discrete and Continuous Dynamical Systems - Series S, 2015, 8(5): 817-832.

DOI：10.3934/dcdss.2015.8.817

• Discontinuous Galerkin method
• variational structure
• structure-preserving
• conservative
• dissipative

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.

• 出版日期2015-10