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.
翻译:我们通过对软件包VarFEM的使用,包括Poisson等式的适应性有限要素方法和双声调等式的$C$0的内部罚款方法进行梳理,统一实施马耳他b 涉及跳跃和平均的有限要素方法b。 设计想法可以扩大到基于Galerkin的其他方法,例如不连续的Galerkin方法和虚拟要素方法。