Solution of the Helmholz equation with controllability and spectral element methods

Erkki Heikkola, Sanna Mönkkölä, Anssi Pennanen, Tuomo Rossi

Research output: Contribution to journalArticle in a proceedings journalScientificpeer-review


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 languageEnglish
Pages (from-to)121-124
JournalJournal of Structural Mechanics
Issue number3
Publication statusPublished - 2005
MoE publication typeA4 Article in a conference publication


Cite this