An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method

DOI10.1016/j.jcp.2012.03.004zbMath1245.76076OpenAlexW2010426263MaRDI QIDQ440605

Ronald H. W. Hoppe, Christopher Linsenmann

Publication date: 19 August 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-12043

zbMATH Keywords

red blood cellsfinite element immersed boundary methodfully implicit schemepredictor-corrector continuation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05)

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Uses Software

• INTLAB
• NewtonLib

Cites Work

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• The Mathematical Theory of Finite Element Methods
• Finite Elements
• Fluid flow in collapsible elastic tubes: a three-dimensional numerical model

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