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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Solution of the Helmholz equation with controllability and spectral element methods. / Heikkola, Erkki; Mönkkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo.
In: Journal of Structural Mechanics, Vol. 38, No. 3, 2005, p. 121-124.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 -