Analysis and optimization of the generalized Schwarz method for elliptic problems with application to fluid-structure interaction

DOI10.1007/s00211-014-0693-2zbMath1326.65169OpenAlexW2083892724MaRDI QIDQ495545

Giacomo Gigante, Christian Vergara

Publication date: 14 September 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-014-0693-2

zbMATH Keywords

convergenceNavier-Stokes equationswave equationnumerical experimentfluid-structure interactiongeneralized Schwarz methodincompressible, inviscid fluidlinear elliptic problemslinear infinitesimal elasticity

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Wave equation (35L05)

Related Items (8)

Geometric multiscale modeling of the cardiovascular system, between theory and practice ⋮ Optimized Schwarz Methods for the Cahn–Hilliard Equation ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction ⋮ On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction ⋮ Optimized Schwarz Methods for Spherical Interfaces With Application to Fluid-Structure Interaction ⋮ A partitioned numerical scheme for fluid–structure interaction with slip ⋮ Partitioned and Monolithic Algorithms for the Numerical Solution of Cardiac Fluid-Structure Interaction

Uses Software

• LifeV

Cites Work

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