A fictitious domain approach with Lagrange multiplier for fluid-structure interactions

被引：56

作者：

Boffi, Daniele ^{[1
]}

Gastaldi, Lucia ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Pavia, Italy

[2] Univ Brescia, DICATAM, Brescia, Italy

来源：

NUMERISCHE MATHEMATIK | 2017年 / 135卷 / 03期

关键词：

IMMERSED BOUNDARY METHOD; FINITE-ELEMENT APPROACH; L-2; PROJECTION; STABILITY;

D O I：

10.1007/s00211-016-0814-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.

引用

页码：711 / 732

页数：22

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