TY - JOUR
T1 - A Modified Discontinuous Galerkin Method for Solving Efficiently Helmholtz Problems
JO - Communications in Computational Physics
VL - 2
SP - 335
EP - 350
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.081209.070710s
UR - https://global-sci.org/intro/article_detail/cicp/7365.html
KW - 
AB - <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>