Iterative Solution Approaches for the Piezoelectric Forward Problem

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.

@inproceedings{id725,
  author = {Mohr, M.},
  booktitle = {Progress in Industrial Mathematics at ECMI 2004},
  doi = {10.1007/3-540-28073-1\_22},
  editor = {Bucchianico, A. Di and Mattheij, R. and Peletier, M.},
  isbn = {3-540-28072-3},
  language = {en},
  pages = {169-173},
  publisher = {Springer},
  series = {Mathematics in Industry},
  title = {Iterative Solution Approaches for the Piezoelectric Forward Problem},
  volume = {8},
  year = {2006},
}

%O Conference Proceedings
%A Mohr, M.
%B Progress in Industrial Mathematics at ECMI 2004
%R 10.1007/3-540-28073-1_22
%E Bucchianico, A. Di
%E Mattheij, R.
%E Peletier, M.
%@ 3-540-28072-3
%G en
%P 169-173
%I Springer
%S Mathematics in Industry
%T Iterative Solution Approaches for the Piezoelectric Forward Problem
%V 8
%D 2006