论文标题
MATLAB中涉及跳跃和平均值的有限元方法的统一实现
Unified Implementation of Finite Element Methods involving Jumps and Averages in Matlab
论文作者
论文摘要
我们通过梳理使用软件包VARFEM的使用软件包，包括托管方程的自适应有限元方法以及Biharmonic方程的$ C^0 $内部惩罚方法，提供涉及跳跃和平均值的有限元方法的统一实现。设计思想可以扩展到其他基于盖尔金的方法，例如不连续的盖尔金方法和虚拟元素方法。
We provide unified implementations of the finite element methods involving jumps and averages in Maltab by combing the use of the software package varFEM, including the adaptive finite element methods for the Poisson equation and the $C^0$ interior penalty methods for the biharmonic equation. The design ideas can be extended to other Galerkin-based methods, for example, the discontinuous Galerkin methods and the virtual element methods.
