On Total Reuse of Krylov Subspaces for an iterative FETI-solver in multirate integration

[EN] In this work, we adapt a Total Reuse of Krylov Subspaces for usage in a GMRESsolver and apply it to nonlinear structural-dynamics examples. These examples are then solved by a multirate FETI-method, the nonlinear BGC-macro method, which allows local subcycling in time within substructures, such...

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Bibliographic Details
Authors: Seibold, Andreas, Rixen, Daniel, Fresno Zarza, Javier
Format: book part
Publication Date:2022
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/186548
Online Access:https://riunet.upv.es/handle/10251/186548
Access Level:Open access
Keyword:FETI
Structural dynamics
Krylov-Subspaces
Recycling
Multirate Time-Integration
Description
Summary:[EN] In this work, we adapt a Total Reuse of Krylov Subspaces for usage in a GMRESsolver and apply it to nonlinear structural-dynamics examples. These examples are then solved by a multirate FETI-method, the nonlinear BGC-macro method, which allows local subcycling in time within substructures, such that local time-stepping is performed between synchronizationtime-steps. In these proposed examples, we show that the reuse-method reduces the total number of GMRES-iterations and shifts the eigenvalue-spectrum of the global system towards smaller eigenvalues.