The solution of triangle element approximation for 2D Helmholtz equations using QSGS method. (English) Zbl 1343.65147
Summary: 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.
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.
MSC:
| 65R20 | Numerical methods for integral equations |
| 41A55 | Approximate quadratures |
| 45A05 | Linear integral equations |
| 45B05 | Fredholm integral equations |
