标题： 耦合BEM-FEM声学流体-结构相互作用问题的分块求解策略 显示英文标题

标题： Partitioned solution strategies for coupled BEM-FEM acoustic fluid-structure interaction problems

摘要： 本文研究了两种用于声学流体-结构相互作用（FSI）问题的FEM-BEM耦合公式，使用有限元法（FEM）对结构进行建模，使用边界元法（BEM）表示线性声学流体。 所描述的耦合方法使用经典或局部拉格朗日乘子来连接流体和结构，允许连接不匹配的界面。 第一种耦合技术是众所周知的mortar方法，它使用经典乘子，并与一种新的局部拉格朗日乘子方法（LLM）的公式进行比较，用于具有不匹配界面的FSI应用。 所提出的非重叠区域分解技术对流体使用经典的非对称声学BEM公式，尽管也可以使用对称的Galerkin BEM公式。 提出了局部化方法与mortar方法在高度不匹配的界面网格之间的比较。 此外，该方法提出了一种迭代预条件和投影双共轭梯度求解器，该求解器在解决此类问题时表现出很好的可扩展性。 显示英文摘要

摘要： This paper investigates two FEM-BEM coupling formulations for acoustic fluid-structure interaction (FSI) problems, using the Finite Element Method (FEM) to model the structure and the Boundary Element Method (BEM) to represent a linear acoustic fluid. The coupling methods described interconnect fluid and structure using classical or localized Lagrange multipliers, allowing the connection of non-matching interfaces. First coupling technique is the well known mortar method, that uses classical multipliers and is compared with a new formulation of the method of localized Lagrange multipliers (LLM) for FSI applications with non-matching interfaces. The proposed non-overlapping domain decomposition technique uses a classical non-symmetrical acoustic BEM formulation for the fluid, although a symmetric Galerkin BEM formulation could be used as well. A comparison between the localized methodology and the mortar method in highly non conforming interface meshes is presented. Furthermore, the methodology proposes an iterative preconditioned and projected bi-conjugate gradient solver which presents very good scalability properties in the solution of this kind of problems.