Effect of finite precision on em simulations for high-contrast biological media at low frequencies

M.J.R.A. van Rossum; R. M.C. Mestrom; M.C. van Beurden

doi:10.1109/ICEAA.2019.8879369

Effect of finite precision on em simulations for high-contrast biological media at low frequencies

M.J.R.A. van Rossum, R. M.C. Mestrom, M.C. van Beurden

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

1 Citation (Scopus)

2 Downloads (Pure)

Abstract

At low frequencies, biological media are characterized by extremely high permittivities. As a result, the most commonly used simulation methods, i.e. finite-difference time domain (FDTD), finite element method (FEM), and domain integral equations (DIE), suffer from severe limitations in accuracy. These limitations are caused by the round-off errors in finite-precision floating point operations. Finite precision causes error accumulation in FDTD due to the large number of time steps required to simulate one period and to maintain stability. In FEM, finite precision causes the numerical derivative to collapse due to the dependence on the mesh size. While the DIE is hardly influenced by the mesh size, the extreme permittivities cause a large difference in the order of magnitude of the various terms in the DIE.

Original language	English
Title of host publication	Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	523-527
Number of pages	5
ISBN (Electronic)	978-1-7281-0563-5
DOIs	https://doi.org/10.1109/ICEAA.2019.8879369
Publication status	Published - Sept 2019
Event	21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain Duration: 9 Sept 2019 → 13 Sept 2019

Conference

Conference	21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Country/Territory	Spain
City	Granada
Period	9/09/19 → 13/09/19

Keywords

Biological media
Domain integral equation
Finite element method
Finite-difference time-domain
Low frequency

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10.1109/ICEAA.2019.8879369

Cite this

van Rossum, M. J. R. A., Mestrom, R. M. C., & van Beurden, M. C. (2019). Effect of finite precision on em simulations for high-contrast biological media at low frequencies. In Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 (pp. 523-527). Article 8879369 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA.2019.8879369

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title = "Effect of finite precision on em simulations for high-contrast biological media at low frequencies",

abstract = "At low frequencies, biological media are characterized by extremely high permittivities. As a result, the most commonly used simulation methods, i.e. finite-difference time domain (FDTD), finite element method (FEM), and domain integral equations (DIE), suffer from severe limitations in accuracy. These limitations are caused by the round-off errors in finite-precision floating point operations. Finite precision causes error accumulation in FDTD due to the large number of time steps required to simulate one period and to maintain stability. In FEM, finite precision causes the numerical derivative to collapse due to the dependence on the mesh size. While the DIE is hardly influenced by the mesh size, the extreme permittivities cause a large difference in the order of magnitude of the various terms in the DIE.",

keywords = "Biological media, Domain integral equation, Finite element method, Finite-difference time-domain, Low frequency",

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year = "2019",

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note = "21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 ; Conference date: 09-09-2019 Through 13-09-2019",

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van Rossum, MJRA, Mestrom, RMC & van Beurden, MC 2019, Effect of finite precision on em simulations for high-contrast biological media at low frequencies. in Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019., 8879369, Institute of Electrical and Electronics Engineers, Piscataway, pp. 523-527, 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019, Granada, Spain, 9/09/19. https://doi.org/10.1109/ICEAA.2019.8879369

Effect of finite precision on em simulations for high-contrast biological media at low frequencies. / van Rossum, M.J.R.A.; Mestrom, R. M.C.; van Beurden, M.C.
Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019. Piscataway: Institute of Electrical and Electronics Engineers, 2019. p. 523-527 8879369.

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

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van Rossum MJRA, Mestrom RMC , van Beurden MC. Effect of finite precision on em simulations for high-contrast biological media at low frequencies. In Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 523-527. 8879369 doi: 10.1109/ICEAA.2019.8879369

Effect of finite precision on em simulations for high-contrast biological media at low frequencies

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