Matrix index dimension reduction method of median index time integration method of complicated dispersive medium

Abstract

The invention discloses a matrix index dimension reduction method of a median index time integration method of a complicated dispersive medium. The matrix index dimension reduction method comprises the following steps that S1, the index time integration format of global semi discretion is constructed; S2, according to fine and coarse grid categories, relevant information of fine and coarse grids in a global matrix is separated; S3, rearrangement is applied to the global semi-discrete index time integration format; S4, the index time integration format rearranged in the step S3 is simplified; S5, a correlation coefficient matrix of the fine grid is constructed; S6, a sparse structure of the matrix is utilized to convert power operation of the global matrix into power operation of a diagonalblock matrix; S7, index operation of a global large sparse matrix is converted into index operation conducted on the diagonal block matrix. The large matrix index operation is converted into matrix index calculation having very small dimensionality, so that the expense for matrix index calculation is greatly reduced. Accordingly, the simulated analysis efficiency of the problem of multi-scale complicated dispersive medium can be effectively improved.

Description

technical field [0001] The invention belongs to the technical field of three-dimensional electromagnetic analysis numerical solution, and relates to a matrix exponential dimensionality reduction method of a medium exponential time integration method for complex dispersion media. Background technique [0002] With the development of stealth technology, Internet of Things electromagnetic compatibility and electromagnetic shielding technologies, various complex dispersion materials are getting more and more attention. From various stealth coating materials for different application environments such as radar, infrared and even visible light in military stealth technology, to anti-electromagnetic interference and electromagnetic shielding design of civilian Internet of Things equipment, solar thin-film batteries and other fields are widely used. As the electromagnetic environment becomes more complex, so does the need for multispectral performance of these materials. Especially...

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Problems solved by technology

[0011] The purpose of the present invention is to overcome the deficiencies of the prior art, and provide a method of converting large-scale matrix exponential calculations into matrix exponential calculations with small dimensions, so that the cost of matrix exponential calculations is greatly reduced, thereby effectively improving multi-scale complex dispersion media Matrix Exponential Dimensionality Reduction Method in Exponential Time Integration Method for Complex Dispersive Media in Efficient Simulation Analysis of Problems

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