Advances in Computational Electromagnetics and Its Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 10 April 2025 | Viewed by 413

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Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China
Interests: computational science; artificial intelligence; renewable energy
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Guest Editor
College of Architecture and Engineering, Huanghuai University, Zhumadian 463000, China
Interests: isogeometric analysis; boundary element analysis; coupled finite element and boundary element; structural optimization; topology optimization; stochastic analysis; deep learning engineering computation; fracture mechanics
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Special Issue Information

Dear Colleagues,

Electromagnetics finds important applications in a wide range of scientific and engineering fields. Analytical solutions in complex electromagnetics problems are difficult to obtain, and thus an effective numerical algorithm is needed in practise. Computational electromagnetics has played a key role in the modelling and design of antenna, radar, satellite, medical imaging, etc. For submission to this Special Issue, we invite original research articles and survey papers on the state-of-the-art theoretical research and applications of computational electromagnetics. Topics of interest include, but are not limited to, the following:

  • Finite Element Methods;
  • Methods of Moments/Boundary Element Methods;
  • Finite Difference Time Domain Methods;
  • Finite Difference Frequency Domain Methods;
  • High-frequency computational electromagnetic methods, such as multilevel fast physical optics methods and iterative physical optics methods;
  • Discontinuous Galerkin Methods;
  • Multi-physics coupling with electromagnetics;
  • Acceleration techniques such as Fast Multipole Algorithms;
  • Multiscale electromagnetic modelling;
  • Combing artificial intelligence with computational electromagnetics;
  • Electromagnetics in complex environments;
  • Optimization and inverse problems in electromagnetics.

Dr. Haojie Lian
Dr. Leilei Chen
Guest Editors

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Keywords

  • electromagnetics
  • simulation
  • multi-field coupling
  • artificial intelligence

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Published Papers (1 paper)

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Research

20 pages, 2676 KiB  
Article
A Parallel-GPU DGTD Algorithm with a Third-Order LTS Scheme for Solving Multi-Scale Electromagnetic Problems
by Marlon J. Lizarazo and Elson J. Silva
Mathematics 2024, 12(23), 3663; https://doi.org/10.3390/math12233663 - 22 Nov 2024
Abstract
This paper presents a novel parallel-GPU discontinuous Galerkin time domain (DGTD) method with a third-order local time stepping (LTS) scheme for the solution of multi-scale electromagnetic problems. The parallel-GPU implementations were developed based on NVIDIA’s recommendations to guarantee the optimal GPU performance, and [...] Read more.
This paper presents a novel parallel-GPU discontinuous Galerkin time domain (DGTD) method with a third-order local time stepping (LTS) scheme for the solution of multi-scale electromagnetic problems. The parallel-GPU implementations were developed based on NVIDIA’s recommendations to guarantee the optimal GPU performance, and an LTS scheme based on the third-order Runge–Kutta (RK3) method was used to accelerate the solution of multi-scale problems further. This LTS scheme used third-order interpolation polynomials to ensure the continuity of the time solution. The numerical results indicate that the strategy with the parallel-GPU DGTD and LTS maintains the order of precision of standard global time stepping (GTS) and reduces the execution time by about 78% for a complex multi-scale electromagnetic scattering problem. Full article
(This article belongs to the Special Issue Advances in Computational Electromagnetics and Its Applications)
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