### Abstract

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 |

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### Cite this

*Journal of Structural Mechanics*,

*38*(3), 121-124.

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*Journal of Structural Mechanics*, vol. 38, no. 3, pp. 121-124.

**Solution of the Helmholz equation with controllability and spectral element methods.** / Heikkola, Erkki; Mönkkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo.

Research output: Contribution to journal › Article in a proceedings journal › Scientific › peer-review

TY - JOUR

T1 - Solution of the Helmholz equation with controllability and spectral element methods

AU - Heikkola, Erkki

AU - Mönkkölä, Sanna

AU - Pennanen, Anssi

AU - Rossi, Tuomo

N1 - Project code: C3SU00713

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

M3 - Article in a proceedings journal

VL - 38

SP - 121

EP - 124

JO - Rakenteiden Mekaniikka

JF - Rakenteiden Mekaniikka

SN - 0783-6104

IS - 3

ER -