A finite-element model for the Hasegawa–Mima wave equation

作者：

Highlights：

• Hasegawa–Mima equation as a system of two linear PDE’s, elliptic and hyperbolic.

• Weak solutions to the Hasegawa–Mima equation.

• New finite element, finite difference simulation model for Hasegawa–Mima.

• Travelling wave solutions to the Hasegawa–Mima equation.

摘要

•Hasegawa–Mima equation as a system of two linear PDE’s, elliptic and hyperbolic.•Weak solutions to the Hasegawa–Mima equation.•New finite element, finite difference simulation model for Hasegawa–Mima.•Travelling wave solutions to the Hasegawa–Mima equation.

论文关键词：Hasegawa–Mima,Periodic sobolev spaces,Petrov–Galerkin approximations,Finite-element method,Semi-discrete systems,Implicit finite-differences

论文评审过程：Received 13 March 2021, Revised 22 June 2021, Accepted 24 July 2021, Available online 14 August 2021, Version of Record 14 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126550