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A Parallel-GPU DGTD Algorithm with a Third-Order LTS Scheme for Solving Multi-Scale Electromagnetic Problems

Author

Listed:
  • Marlon J. Lizarazo

    (Graduate Program in Electrical Engineering, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Belo Horizonte 31270-901, MG, Brazil)

  • Elson J. Silva

    (Department of Electrical Engineering, Universidade Federal de Minas Gerais, Belo Horizonte 31270-901, MG, Brazil)

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 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.

Suggested Citation

  • Marlon J. Lizarazo & Elson J. Silva, 2024. "A Parallel-GPU DGTD Algorithm with a Third-Order LTS Scheme for Solving Multi-Scale Electromagnetic Problems," Mathematics, MDPI, vol. 12(23), pages 1-20, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3663-:d:1527273
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    References listed on IDEAS

    as
    1. Ying Sheng & Tie Zhang, 2022. "A Finite Volume Method to Solve the Ill-Posed Elliptic Problems," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    2. Xianqi Fang & Wenbin Zhang & Meiling Zhao, 2024. "A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media," Mathematics, MDPI, vol. 12(2), pages 1-16, January.
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