A posteriori error estimates for the Johnson-Nedelec FEM-BEM coupling

作者：Aurada M; Feischl M; Karkulik M; Praetorius D^*

来源：Engineering Analysis with Boundary Elements, 2012, 36(2): 255-266.

DOI：10.1016/j.enganabound.2011.07.017

• Finite clement-boundary element coupling
• Local mesh-refinement
• Adaptive algorithm

Only very recently, Sayas [The validity of Johnson-Nedelec%26apos;s BEM-FEM coupling on polygonal interfaces. SIAM J Numer Anal 2009;47:3451-63] proved that the Johnson-Nedelec one-equation approach from Ion the coupling of boundary integral and finite element methods. Math Comput 1980;35:1063-791 provides a stable coupling of finite element method (FEM) and boundary element method (BEM). In our work, we now adapt the analytical results for different a posteriori error estimates developed for the symmetric FEM-BEM coupling to the Johnson-Nedelec coupling. More precisely, we analyze the weighted-residual error estimator, the two-level error estimator, and different versions of (h-h/2)-based error estimators. In numerical experiments, we use these estimators to steer h-adaptive algorithms, and compare the effectivity of the different approaches.

• 出版日期2012-2