Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction

By Hermann G. Matthies, J. Steindorf. 2002

145 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c0ed52c9be13a080add3ed30f0d5ea1f8c9141d8

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In Computational Mechanics

In Numerical Analysis

Citations in the corpus

A Newton method using exact jacobians for solving fluid-structure coupling (2005, unknown): “- (cid:26)* (cid:17) 6 ˝(cid:145) 8 @(cid:181)dc(cid:132)sdy(cid:192)Prs_ad(cid:11){(cid:128)xZpy(cid:129)(cid:24)dgt ƒ {|tyolk ~ r|d]{(cid:134)r ƒ mavZ(cid:129)/r|kltyvZ{wkl{G(cid:152)ykl§ydcv(cid:17)¥P(cid:127) 8 :!”
Stability of a coupling technique for partitioned solvers in FSI applications (2008, unknown): “Therefore also quasi-Newton methods with approximate Jacobians are used [17–19].”
Fluid-structure partitioned procedures based on Robin transmission conditions (2008, unknown): “Keywords: Fluid–structure interaction; Partitioned procedures; Transmission conditions; Robin boundary conditions; Added-mass effect; Hemodynamics”
Added-mass effect in the design of partitioned algorithms for fluid-structure problems (2005, methodology): “[21, 20, 17, 5, 4, 11, 12]) Although loosely coupled (explicit) algorithms are successfully used in aeroelasticity (see [5] and the references therein), it is common experience in other applications [19, 10, 16] that they feature instabilities under certain choices of the physical parameters, typica”
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, methodology): “Inexact Newton methods are addressed in [33, 35, 47, 31] by using finite difference approximations of the Jacobian, in [47, 48, 25, 26, 31] by replacing the coupled tangent operator by a simpler linear operator and, applied to complex geometries in [27].”