Work

Recycling of Krylov Subspaces in the Simulation of Nonlinear Dynamic Systems

Year: 2024
Type: article
Abstract: ABSTRACT The paper deals with the implementation of a Krylov subspace recycling method into the solution of a nonlinear system of equations that arises during the time integration of the equations of motion of a hydrodynamically supported rotor system. The recycling BiCGStab algorithm is used in order to speed up the calculation. Different methods for generating the necessary subspace are pointed out. Additionally, a new method for the approximate determination of the subspace is presented and discussed in the context of the numerical effort and usability w.r.t. the established methods.
Source: PAMM
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4405963314
FWCI: 0.401
Cites: 9
Cited by: 2
Related to: 10