A simple finite element method for linear hyperbolic problems

作者:Mu Lin*; Ye Xiu
来源:Journal of Computational and Applied Mathematics, 2018, 330: 330-339.
DOI:10.1016/j.cam.2017.08.025

摘要

In this paper, we introduce a simple finite element method for solving first order hyperbolic equations with easy implementation and analysis. This new method, with a symmetric, positive definite system, is designed to use discontinuous approximations on finite element partitions consisting of arbitrary shape of polygons/polyhedra. Error estimate is established. Extensive numerical examples are tested that demonstrate the robustness and flexibility of the method.

  • 出版日期2018-3-1