A hybrid DG-FE / SE region decomposition time-domain electromagnetic simulation method based on tree-cotree decomposition

The hybrid DG-FE/SE method based on Tree-Cotree decomposition solves the problems of geometric adaptability and low efficiency in electromagnetic simulation of multi-scale complex structures, and achieves efficient and accurate wideband time-domain simulation, which is suitable for simulation of multi-scale complex electromagnetic structures such as microwave devices and antenna arrays.

CN122333845APending Publication Date: 2026-07-03NINGBO ORIENTAL INST OF ADVANCED TECH +3
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
NINGBO ORIENTAL INST OF ADVANCED TECH
Filing Date
2026-03-17
Publication Date
2026-07-03

AI Technical Summary

Technical Problem

Existing electromagnetic simulation methods suffer from insufficient geometric adaptability, low computational efficiency, complex modeling of non-coordinated mesh coupling, and low-frequency collapse issues in time-domain simulation of multi-scale complex structures, making it difficult to balance accuracy and efficiency.

Method used

A hybrid DG-FE/SE domain decomposition method based on Tree-Cotree decomposition is adopted to divide the computational domain into tetrahedral finite element subdomains and hexahedral spectral element subdomains. By combining Gaussian divergence constraints and upwind flux, direct coupling between the finite element and spectral element subdomains is achieved. Non-common node meshes are processed through topology identification and polygon decomposition, and time propagation is completed using an explicit fourth-order Runge-Kutta scheme.

Benefits of technology

It improves the geometric adaptability and simulation efficiency of complex electromagnetic structures at multiple scales, avoids the accumulation of flux transfer errors and low-frequency collapse under non-coordinated grids, and achieves high-precision time-domain simulation in a wide frequency domain. The results are in good agreement with commercial software.

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Abstract

This invention relates to a time-domain electromagnetic simulation method based on Tree-Cotree decomposition and a hybrid DG-FE / SE domain decomposition. The method includes: dividing the computational domain into a tetrahedral finite element subdomain and a hexahedral spectral element subdomain according to geometric dimensions and electromagnetic properties; constructing a minimum spanning tree and cotree based on mesh edges to apply Gaussian divergence constraints; discretizing both the finite element and spectral element regions using scalar and vector basis functions to obtain Galerkin weak solutions; uniformly processing the interface between the finite element and spectral element subdomains using a topology identification-polygon decomposition-Gaussian integration method, and combining this with upwind flux to achieve continuous field transfer; assembling the spatial discretization matrix of the Galerkin weak solutions, and completing time propagation using an explicit fourth-order Runge-Kutta scheme. Compared with existing technologies, this invention systematically eliminates the low-frequency collapse problem, ensures the non-singularity of the system matrix, and guarantees solution accuracy and efficiency.
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Citation Information

Patent Citations

  • A domain decomposition electromagnetic simulation method and system

    CN115935671B