Iterative Solution Approaches for the Piezoelectric Forward Problem

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 8)


One of the fields of engineering science in which numerical simulation is playing a role of increasing importance is the design of piezoelectric transducers. Efficient techniques to solve the forward problem of computing the mechanical displacements and electric potential for a given configuration play a crucial role in the design itself, but also in the related problem of identifying the correct material parameters. In this paper we consider the iterative solution of linear systems arising from a Finite-Element discretisation of the piezoelectric forward problem with the Generalised Minimal Residual method in combination with incomplete LU decomposition and inexact block diagonal preconditioning.

Key words

symmetric indefinite piezoelectricity iterative solver GMRES ILU inexact block preconditioner 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • M. Mohr
    • 1
  1. 1.Department of Sensor TechnologyUniversity of Erlangen-NurembergGermany

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