Method for decoupling matrix index time of index time integral method in complicated dispersive medium

Abstract

The invention discloses a method for decoupling matrix index time of an index time integral method in a complicated dispersive medium. The method comprises the following steps of: deducing a local semi-discrete format by adoption of a time domain discontinuous Galerkin method, and constructing an index time integral format; carrying out time discretion on the index time integral format by adoptionof a high-order low-storage Runge-Kutta time format so as to obtain a hybrid Runge-Kutta-index time format; constructing an index form vector and combining a matrix index item to process the hybrid Runge-Kutta-index time format; and constructing a decoupling vector to decouple the hybrid Runge-Kutta-index time format so as to obtain a matrix time-based decoupled hybrid Runge-Kutta-index time format. According to the method, the matrix index item and the time are decoupled, so that the condition of calculating the same matrix index in iteration at each time can be avoided, the calculation frequency of the matrix index can be greatly decreased, and the simulative analysis time of multi-scale complicated dispersive medium problems can be remarkably shortened.

Description

technical field [0001] The invention belongs to the technical field of three-dimensional electromagnetic analysis numerical solution, in particular to a matrix exponential time decoupling 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 multi-...

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Problems solved by technology

[0005] The purpose of the present invention is: in order to solve the problem that the traditional exponential time integration method is difficult to perform high-efficiency and high-precision three-dimensional electromagnetic simulation analysis on multi-scale targets containing complex dispersion media, the present invention proposes an exponential time integration method in complex dispersion media. Matrix Exponential Time Decoupling Method

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