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HSGS Method for the Finite Element Solution of Two-Dimensional Helmholtz Equations
Journal: Global Journal of Mathematics (GJM) (Vol.4, No. 1)Publication Date: 2015-09-01
Authors : Mohd Kamalrulzaman Md Akhir; J. Sulaiman;
Page : 367-373
Keywords : Partial Differential Equations (PDEs); Helmholtz; Galerkin scheme; Triangle Element; half-sweep iteration.;
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Abstract
This paper deliberates the use of the Half-sweep Gauss Seidel (HSGS) method to solve 2D Helmholtz equations by using the half-sweep triangle finite element (FE) approximation equation based on the Galerkin scheme. In fact, formulations of the full sweep Gauss Seidel (FSGS) triangle finite element (FE) approaches are also shown. Some numerical experiments are steered to show that the HSGS method is loftier to the existing FSGS method.
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Last modified: 2015-08-26 16:50:25