Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems

Evgeny V. Chernokozhin; Amir Boag

doi:10.23919/AT-AP-RASC54737.2022.9814295

Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems

Evgeny V. Chernokozhin^*, Amir Boag

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A method for direct inversion of the EFIE operator is proposed. The method is based on the Multilevel Nonuniform Grid (MLNG) approach, which previously has been successfully used in fast iterative solvers. However, the MLNG approach is also suitable for direct solvers. The efficiency of the method stems from the fact that the direct inversion of MLNG-compressed integral operators reduces to the inversion of banded matrices.

Original language	English
Title of host publication	2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9789463968058
DOIs	https://doi.org/10.23919/AT-AP-RASC54737.2022.9814295
State	Published - 2022
Event	3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022 - Gran Canaria, Spain Duration: 30 May 2022 → 4 Jun 2022

Publication series

Name	2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022

Conference

Conference	3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022
Country/Territory	Spain
City	Gran Canaria
Period	30/05/22 → 4/06/22

Access to Document

10.23919/AT-AP-RASC54737.2022.9814295

Cite this

Chernokozhin, E. V., & Boag, A. (2022). Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems. In 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022 (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/AT-AP-RASC54737.2022.9814295

Chernokozhin, Evgeny V. ; Boag, Amir. / Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems. 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022).

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abstract = "A method for direct inversion of the EFIE operator is proposed. The method is based on the Multilevel Nonuniform Grid (MLNG) approach, which previously has been successfully used in fast iterative solvers. However, the MLNG approach is also suitable for direct solvers. The efficiency of the method stems from the fact that the direct inversion of MLNG-compressed integral operators reduces to the inversion of banded matrices.",

author = "Chernokozhin, {Evgeny V.} and Amir Boag",

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year = "2022",

doi = "10.23919/AT-AP-RASC54737.2022.9814295",

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series = "2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022",

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Chernokozhin, EV & Boag, A 2022, Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems. in 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022, Institute of Electrical and Electronics Engineers Inc., 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022, Gran Canaria, Spain, 30/05/22. https://doi.org/10.23919/AT-AP-RASC54737.2022.9814295

Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems. / Chernokozhin, Evgeny V.; Boag, Amir.
2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Chernokozhin EV, Boag A. Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems. In 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. Institute of Electrical and Electronics Engineers Inc. 2022. (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022). doi: 10.23919/AT-AP-RASC54737.2022.9814295

Direct Inversion of the MLNG Field Evaluation Operator for Fast Solution of Electromagnetic Scattering Problems

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