Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction

DOI10.1007/978-3-319-39929-4_50zbMath1387.74108OpenAlexW2556933549MaRDI QIDQ3179696

Alexander Heinlein, Oliver Rheinbach, Axel Klawonn

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_50

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (7)

Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space ⋮ A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos ⋮ Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth ⋮ Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space ⋮ Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems ⋮ Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions ⋮ Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods

Uses Software

• Trilinos
• IFPACK
• FaCSI

Cites Work

• Cardiovascular mathematics. Modeling and simulation of the circulatory system
• Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics
• A polyconvex framework for soft biological tissues. Adjustment to experimental data
• Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
• An overview of the Trilinos project
• Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space

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