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arXiv 2106.01720math.NAcs.NA
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基于Nitsche方法和Calderon投影的有限元和边界元混合耦合

Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection

Timo Betcke, Michał Bosy, Erik Burman

摘要:

在本文中,我们讨论了一个混合的方法FEM-BEM耦合。来自两侧的耦合使用Nitsche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。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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