scientific article; zbMATH DE number 7455339

zbMath1499.65500MaRDI QIDQ5019873

Ian Kesler, Rihui Lan, Pengtao Sun

Publication date: 11 January 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/18719.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityoptimal convergencefluid-structure interactions (FSI)arbitrary Lagrangian-Eulerian (ALE) methodmixed finite element method (FEM)Stokes/parabolic interface problem

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Higher-order parabolic systems (35K41)

Related Items (3)

Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms ⋮ Anisotropic immersed finite element methods for 1D elliptic interface systems ⋮ Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow

Cites Work

• Unnamed Item
• Unnamed Item
• A fictitious domain approach with Lagrange multiplier for fluid-structure interactions
• Finite element error estimation for quasi-Newtonian fluid-structure interaction problems
• Well-posedness and robust preconditioners for discretized fluid-structure interaction systems
• Finite element modeling of blood in arteries
• Fully discrete error estimation for a quasi-Newtonian fluid-structure interaction problem
• Modeling and simulations for fluid and rotating structure interactions
• Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
• Stability and geometric conservation laws for ALE formulations
• Mixed and Hybrid Finite Element Methods
• Mixed Finite Element Methods and Applications
• Advanced Transport Phenomena
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds

This page was built for publication: