scholarly journals Matrix-iterative solution method for system of linear equations and its application in space tomography scanning using radar

Author(s):  
M.V. Samoilenko
2020 ◽  
Author(s):  
Mikhail Kruglyakov ◽  
Alexey Kuvshinov

<p> In this contribution, we present novel global 3-D electromagnetic forward solver based on a numerical solution of integral equation (IE) with contracting kernel. Compared to widely used x3dg code which is also based on IE approach, new solver exploits alternative (more efficient and accurate) numerical algorithms to calculate Green’s tensors, as well as an alternative (Galerkin) method to construct the system of linear equations (SLE). The latter provides guaranteed convergence of the iterative solution of SLE. The solver outperforms x3dg in terms of accuracy, and, in contrast to (sequential) x3dg, it allows for efficient parallel computations, meaning that the code has practically linear scalability up to the hundreds of processors.</p>


Author(s):  
Norainon Mohamed ◽  
Shaikh Nasir Shaikh Abd. Rahman ◽  
Muhamad Zahim Sujod ◽  
Mohd Shawal Jadin ◽  
Raja Mohd Taufika Raja Ismail

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