@Article{CiCP-11-335,
author = {Magdalena Grigoroscuta-Strugaru, Mohamed Amara, Henri Calandra and Rabia Djellouli},
title = {A Modified Discontinuous Galerkin Method for Solving Efficiently Helmholtz Problems},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {335--350},
abstract = {<p style="text-align: justify;">A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this method requires solving (a) <em>well-posed</em> local problems to determine the primal variable, and (b) a global positive <em>semi-definite Hermitian</em> system to evaluate the Lagrange multiplier needed to restore the continuity across the element edges. Illustrative numerical results obtained for two-dimensional interior Helmholtz problems are presented to assess the accuracy and the stability of the proposed solution methodology.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.081209.070710s},
url = {http://global-sci.org/intro/article_detail/cicp/7365.html}
}