报告题目：A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations

报告时间：2024-01-09  14:30-15:30

报 告 人：张茜  副教授  哈尔滨工业大学(深圳)

报告地点：理学院东北楼302

Abstract：This talk introduces a high-order discontinuous Galerkin (DG) method for the Camassa-Holm-Kadomtsev-Petviashvili(CH-KP) type equations on Cartesian meshes. The significant part of the simulation for the CH-KP type equations lies in the treatment for the integration operator ∂^(-1). Our proposed DG method deals with itelement by element, which is efficient and applicable to most solutions. Using the instinctive energy of the original PDE as a guiding principle, the DG scheme can be proved as an energy stable numerical scheme. In addition, the semi-discrete error estimates results for the nonlinear case are derived without any priori assumption. Several numerical experiments demonstrate the capability of our schemesfor various types of solutions.