Abstractions and automated algorithms for mixed domain finite element methods

C Daversin-Catty, CN Richardson… - ACM Transactions on …, 2021 - dl.acm.org
Mixed dimensional partial differential equations (PDEs) are equations coupling unknown
fields defined over domains of differing topological dimension. Such equations naturally …

Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction

S Čanić, M Galić, B Muha - Transactions of the American mathematical …, 2020 - ams.org
We consider a nonlinear, moving boundary, fluid-structure interaction problem between a
time-dependent incompressible, viscous fluid flow, and an elastic structure composed of a …

3D structure–2D plate–1D rod interaction problem

M Ljulj, J Tambača - Mathematical methods in the applied …, 2023 - Wiley Online Library
In this paper, we consider the equilibrium problem of interaction of three elastic bodies of
different elastic properties. The main body is the unit cube. On top of it, there is a thin …

Rational decay of a multilayered structure-fluid PDE system

G Avalos, PG Geredeli, B Muha - Journal of mathematical analysis and …, 2022 - Elsevier
In this work, we consider a certain multilayered (thick layer) wave–(thin layer) wave–heat
(fluid) interactive PDE system. Such coupled PDE systems have been used in the literature …

Fluid-structure interaction with incompressible fluids

T Buckmaster, S Čanić, P Constantin… - … in Mathematical Fluid …, 2020 - Springer
These lecture notes cover a series of three two-hour lectures on fluid-structure interaction
involving incompressible, viscous fluids, presented as the CIME Summer Workshop entitled …

Regularity of a weak solution to a linear fluid-composite structure interaction problem

M Galić - Glasnik matematički, 2021 - hrcak.srce.hr
REGULARITY OF A WEAK SOLUTION TO A LINEAR FLUID-COMPOSITE STRUCTURE
INTERACTION PROBLEM Marija Galic University of Zagreb, Croat Page 1 GLASNIK …

Long-time behaviour of solutions to a nonlinear system of fluid-structure interaction

K Disser, M Luckas - arXiv preprint arXiv:2209.10982, 2022 - arxiv.org
We consider a non-linear system modelling the dynamics of a linearly elastic body
immersed in an incompressible viscous fluid. We prove local existence of strong solutions …

[图书][B] Deterministic and stochastic fluid-structure interaction

J Kuan - 2023 - search.proquest.com
This thesis will study fluid-structure interaction (FSI), which describes the coupled
multiphysical dynamical interaction between fluids and deformable structures. From …

Existence of weak solutions to a generalized nonlinear multi-layered fluid-structure interaction problem with the Navier-slip boundary conditions

W Liu, Y Liu, J Yu - arXiv preprint arXiv:2004.09276, 2020 - arxiv.org
We consider a fluid-structure interaction problem with Navier-slip boundary conditions in
which the fluid is considered as a non-Newtonian fluid and the structure is described by a …

[引用][C] 盾构主驱动密封性能流固耦合仿真

项冲, 龙伟漾, 郭飞, 张新异, 蒋杰 - 2023 - 清华大学学报(自然科学版)