A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates

作者：Dominguez Catalina^*; Stephan Ernst P; Maischak Matthias

来源：Numerical Methods for Partial Differential Equations, 2012, 28(5): 1417-1439.

DOI：10.1002/num.20686

• adaptive algorithm
• coupling of finite elements and boundary elements
• fluid structure interaction problem
• hierarchical a posteriori error estimator

In this article, we establish a hierarchical a posteriori error estimate for a coupling of finite elements and boundary elements for a fluid-structure interaction problem posed in two and three dimensions. These methods combine boundary elements for the exterior fluid and finite elements for the elastic structure. We consider two weak formulations, a nonsymmetric one and a symmetric one, which are both uniquely solvable. We present the reliability and efficiency of the error estimates. For the two dimensional case, we compute local error indicators which allow us to develop an adaptive mesh refinement strategy on triangles. For the three dimensional case, we use hexahedrons as elements. Numerical experiments underline our theoretical results.

• 出版日期2012-9