Advanced efficient iterative methods to the Helmholtz equation

Abstract

Parallel computing has recently gained widespread acceptance as a means of handling very large computational data. Since iterative methods are appealing for large systems of equations, and they are the prime candidates for implementations on parallel architectures, We presented based on exploration, through virtual technology having 30 cores, in literature solutions of Helmholtz equation is available up to 12 cores by Jacobi method, here we increased the number of cores and virtual machine having 30 cores first time used to find the solution of Helmholtz equation, our findings are encouraging and found that parallel computing by OpenMP implementations is effective on current supercomputing as well as virtual machine platforms and that is an auspicious programming model to use for applications to be run on emerging and future platforms with accelerated nodes.