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.
|Journal||Journal of Structural Mechanics|
|Publication status||Published - 2005|
|MoE publication type||A4 Article in a conference publication|
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