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Advanced Modeling and Simulation in Engineering Sciences

Table 2 Proof of concept of hybrid preconditioner applied to the pressure wave example

From: A hybrid interface preconditioner for monolithic fluid–structure interaction solvers

# of GMRES iterations

Preconditioner

\({\varvec{\left\| \mathbf {r}_{\mathrm {lin}}^{i}\right\| _{2}/\left\| \mathbf {r}_{\mathrm {lin}}^{0}\right\| _{2}}}\)

Figure

\(i=3\)

BGS(LU):

\(5.2\cdot 10^{-2}\)

Figure 5a

\(i=1\)

H-BGS(LU):

\(6.9\cdot 10^{-3}\)

Figure 5b

  1. With comparable computational effort, the hybrid preconditioner achieves a better residual reduction than the pure physics-bases preconditioner
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