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Matrix Exponential Dimensionality Reduction Method of Exponential Time Integration Method in Complicated Dispersive Media

A technology of time integration and matrix exponent, which is applied in the field of numerical solution of three-dimensional electromagnetic analysis, can solve the problem of reducing the cost of matrix exponent calculation, achieve the effect of reducing the cost of computing and improving the efficiency of simulation analysis

Active Publication Date: 2020-12-04
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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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 for Exponential Time Integration Method in Complex Dispersive Media for Simulation Analysis Efficiency

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  • Matrix Exponential Dimensionality Reduction Method of Exponential Time Integration Method in Complicated Dispersive Media
  • Matrix Exponential Dimensionality Reduction Method of Exponential Time Integration Method in Complicated Dispersive Media
  • Matrix Exponential Dimensionality Reduction Method of Exponential Time Integration Method in Complicated Dispersive Media

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[0059] The technical solution of the present invention will be further described below in conjunction with the accompanying drawings.

[0060] Such as figure 1 As shown, the matrix exponential dimensionality reduction method of the exponential time integration method in complex dispersive media includes the following steps:

[0061] S1. Starting from the local semi-discrete scheme derived from the discontinuous Galerkin method in the time domain, construct a global semi-discrete exponential time integration scheme; the specific implementation method is: integrate all local field components into their corresponding global unknowns to construct The global semi-discrete scheme of the following form; then integrate all field components into an unknown vector, and construct an ordinary differential equation according to the semi-discrete scheme; then divide the grid into fine grid and rough grid, and according to this classification The obtained ordinary differential equation is s...

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Abstract

The invention discloses a matrix exponential dimensionality reduction method of the exponential time integration method in a complex dispersion medium, comprising the following steps: S1, constructing a global semi-discrete exponential time integration format; S2, classifying the global matrix according to fine and rough grids Separation of fine grid and coarse grid related information; S3, apply rearrangement to the global semi-discrete exponential time integration format; S4, simplify the rearranged exponential time integration format in step S3; S5, construct fine grid correlation coefficient Matrix; S6. Using the sparse structure of the matrix, transform the power operation of the global matrix into the power operation of the diagonal block matrix; S7. Transform the exponential operation of the global large sparse matrix into the exponential operation of the diagonal block matrix. The invention converts large-scale matrix exponential calculation into matrix exponential calculation with small dimension, greatly reducing the cost of matrix exponential calculation, thereby effectively improving the simulation analysis efficiency of multi-scale complex dispersion medium problems.

Description

technical field [0001] The invention belongs to the technical field of three-dimensional electromagnetic analysis numerical solution, and relates to a matrix exponential dimension reduction method of an exponential time integration method in a complex dispersion medium. 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 for mult...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/16
CPCG06F17/16
Inventor 王浩徐立尹俊辉杨中海李斌
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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