Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection
复制标题
使用 Nitsche 方法和 Calderon 投影的有限元和边界元方法的混合耦合
DOI：
10.1007/s11075-022-01289-9
复制
发表时间：
2022
影响因子：
2.1
通讯作者：
Betcke T
中科院分区：
文献类型：
--
作者：
Betcke T
在本文中，我们讨论了一种混合方法的FEM-BEM耦合。来自两侧的耦合使用Nitsch类型的方法来耦合到跟踪变量。这导致了一个配方，是强大的和灵活的近似空间，可以很容易地结合作为一个积木与其他混合方法。证明了能量误差模估计和Jacobi迭代的收敛性，并通过算例说明了方法的性能。
In this paper, we discuss a hybridised method for FEM-BEM coupling. The coupling from both sides use a Nitsche-type approach to couple to the trace variable. This leads to a formulation that is robust and flexible with respect to approximation spaces and can easily be combined as a building block with other hybridised methods. Energy error norm estimates and the convergence of Jacobi iterations are proved and the performance of the method is illustrated on some computational examples.