THE SOLUTION OF TRIANGLE ELEMENT APPROXIMATION
FOR 2D HELMHOLTZ EQUATIONS USING QSGS METHOD
Mohd Kamalrulzaman Md Akhir1, Jumat Sulaiman2
1,2Faculty of Science and Natural Resources
Universiti Malaysia Sabah
Locked Bag 2073, 88400 Kota Kinabalu, Sabah, MALAYSIA
Abstract. This study aims to demonstrate the efficiency of the quarter-sweep Gauss Seidel (QSGS) method using the quarter-sweep approximation equation based on a Galerkin scheme in order to solve two-dimensional Helmholtz equations. Furthermore, the basic formulations of the Full-Sweep and Half-Sweep Gauss Seidel methods, namely FSGS and HSGS respectively are also presented. The numerical results of test examples are also included in order to verify the performance of the proposed method.
AMS Subject Classification: 41A55, 45A05, 45B05
Key Words and Phrases: Helmholtz equations, Galerkin scheme, triangle element, quarter-sweep iterations


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i6.5

Volume: 28
Issue: 6
Year: 2015