### Abstract

We formulate the Helmholz problem as an exact conrollability problem for
the time-dependent wave equation. The problem is then discretized in space
domain with spectral elements leading to high accuracy and diagonal mass
matrices. After discretization, exact controllability problem is reformulated
as a least-squares problem, which is solved by conjugate gradient method. We
illustrate the method with some numerical experiments on an acoustic
scattering simulation.

Original language | English |
---|---|

Pages (from-to) | 121-124 |

Journal | Journal of Structural Mechanics |

Volume | 38 |

Issue number | 3 |

Publication status | Published - 2005 |

MoE publication type | A4 Article in a conference publication |

## Fingerprint Dive into the research topics of 'Solution of the Helmholz equation with controllability and spectral element methods'. Together they form a unique fingerprint.

## Cite this

Heikkola, E., Mönkkölä, S., Pennanen, A., & Rossi, T. (2005). Solution of the Helmholz equation with controllability and spectral element methods.

*Journal of Structural Mechanics*,*38*(3), 121-124. http://rmseura.tkk.fi/rmlehti/2005/nro3/RakMek_38_3_2005.pdf