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|