On the Differentiability of Fluid-Structure Interaction Problems with Respect to the Problem Data

被引：4

作者：

Wick, Thomas ^{[1
]}

Wollner, Winnifried ^{[2
]}

机构：

[1] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany

[2] Tehn Univ Darmstadt, Fachbereich Math, Dolivostr 15, D-64293 Darmstadt, Germany

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2019年 / 21卷 / 03期

关键词：

Fluid-structure interactions; Differentiability of solutions with respect to problem data; ORIENTED ERROR ESTIMATION; WEAK SOLUTIONS; EXISTENCE; MOTION; OPTIMIZATION; FORMULATION;

D O I：

10.1007/s00021-019-0439-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A coupled system of stationary fluid-structure equations in an arbitrary Lagrangian-Eulerian framework is considered in this work. Existence results presented in the literature are extended to show differentiability of the solutions to a stationary fluid-structure interaction problem with respect to the given data, volume forces and boundary values, provided a small data assumption holds. Numerical experiments are used to substantiate the theoretical findings.

引用

页数：21

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