Journal ArticleDOI
A mixed displacement-based finite element formulation for acoustic fluid-structure interaction
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TLDR
In this article, a new formulation based on a three-field discretization using displacements, pressure and a "vorticity moment" as variables with an appropriate treatment of the boundary conditions was proposed.About:
This article is published in Computers & Structures.The article was published on 1995-07-17. It has received 120 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
Citations
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Numerical Methods for Fluid-Structure Interaction — A Review
TL;DR: This article reviews representative numeri- cal methods based on conforming and non-conforming meshes that are currently avail- able for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field.
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Finite element approximation of eigenvalue problems
TL;DR: The final part tries to introduce the reader to the fascinating setting of differential forms and homological techniques with the description of the Hodge–Laplace eigenvalue problem and its mixed equivalent formulations.
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On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
TL;DR: This paper presents examples of mixed finite element approximations that satisfy the above properties but exhibit spurious eigenvalues, and proves that bad behavior is proved analytically and demonstrated in numerical experiments.
Journal ArticleDOI
Displacement/pressure based mixed finite element formulations for acoustic fluid–structure interaction problems
Xiaodong Wang,Klaus-Jürgen Bathe +1 more
TL;DR: In this paper, the authors present reliable finite element discretizations based on displacement/pressure interpolations for the analysis of acoustic fluid-structure interaction problems, which are selected using the inf-sup condition, and emphasis is given to the fact that the boundary conditions must satisfy the mass and momentum conservation.
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Developments in structural-acoustic optimization for passive noise control
TL;DR: In this article, a review of structural and acoustic analysis techniques using numerical methods like the finite-and/or the boundary-element method is presented, followed by a survey of techniques for structural-acoustic coupling.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
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An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions
TL;DR: In this article, an arbitrary Lagrangian-Eulerian kinematical description of the fluid domain is adopted in which the grid points can be displaced independently of fluid motion.
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The inf-sup test
TL;DR: A numerical test on whether the inf-sup condition for the finite element solution of problems in incompressible elasticity is passed will prove useful for many discretizations of constrained variational problems.