Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem

DOI10.1137/S0036142999361529zbMath0984.76046OpenAlexW1986411874MaRDI QIDQ2706364

Xiaobing Feng

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999361529

zbMATH Keywords

absorbing boundary conditionacoustic waveselastic wavesinterface conditionsfluid-solid interaction modelboundary duality argumentfinite element Galerkin approximationsoptimal order a priori estimatesparallelizable domain decomposition algorithms

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (11)

Mathematical analysis of a fluid—solid interaction problem ⋮ A CBS-based partitioned semi-implicit coupling algorithm for fluid-structure interaction using MCIBC method ⋮ Conservative load transfer along curved fluid--solid interface with non-matching meshes ⋮ Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method ⋮ An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies ⋮ Transient fluid-structure interaction with non-matching spatial and temporal discretizations ⋮ Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes-Stokes model ⋮ A fully discrete scheme for the pressure-stress formulation of the time-domain fluid-structure interaction problem ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ Combined interface boundary condition method for unsteady fluid-structure interaction ⋮ An overview of the combined interface boundary condition method for fluid-structure interaction

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