New iterative OSMEI technique to decompose MoM matrix of 3D acoustic scattering problem

Jinping Ma, W. Che, K. Mei, Yaowu Liu
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Abstract

A new iterative technique on surface measured equation of invariance (OSMEI) is proposed for decomposing the method of moment (MoM) matrix of 3D acoustic scattering problem. Its' an extension of the matrix decomposition (MD) by the OSMEI method. In the iterative procedure, the structure and the sparsity rate of OSMEI coefficients remain invariant, and it results in a significant reduction in the memory requirement and computing time. Moreover, it provides a means for systematic improvement of the solution. The numerical results of 3D acoustic scattering of a soft sphere show that this technique takes the attractive features of high accuracy and fast convergence of iterative process.
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三维声散射问题中MoM矩阵分解的新迭代OSMEI技术
提出了一种基于表面测量不变性方程(OSMEI)的迭代方法,用于分解三维声散射问题的矩矩阵方法。它是用OSMEI方法对矩阵分解(MD)的扩展。在迭代过程中,OSMEI系数的结构和稀疏率保持不变,从而显著降低了内存需求和计算时间。此外,它还为系统地改进解决方案提供了一种手段。软球三维声散射的数值结果表明,该方法具有精度高、迭代过程收敛快等优点。
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