Explicit Solution of Time Domain Scalar Potential Surface Integral Equations for Penetrable Scatterers

Rui Chen; Hakan Bagci

doi:10.1109/IEEECONF35879.2020.9329824

Explicit Solution of Time Domain Scalar Potential Surface Integral Equations for Penetrable Scatterers

Rui Chen, Hakan Bagci

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

3 Scopus citations

Abstract

An explicit time marching scheme is developed to solve a system of time domain surface integral equations enforced on homogeneous penetrable objects for scalar potential and its normal derivative. This system is cast in the form of an ordinary differential equation (ODE) and unknowns are expanded using high-order nodal functions. Inserting these expansions into the ODE and applying point-testing (Nyström method) yield a system in time-dependent coefficients of the unknown expansions. This system is integrated in time using a predictor-corrector algorithm to yield the expansion coefficients. The resulting explicit time marching scheme uses the same time step size as its implicit counterpart without sacrificing the stability of the solution and is almost three times faster for low frequency excitations.

Original language	English (US)
Title of host publication	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
Publisher	IEEE
ISBN (Print)	978-1-7281-6671-1
DOIs	https://doi.org/10.1109/IEEECONF35879.2020.9329824
State	Published - 2020

Access to Document

10.1109/IEEECONF35879.2020.9329824

Cite this

@inproceedings{bf327afd6ee04fe89504e8d2ab3662fd,

title = "Explicit Solution of Time Domain Scalar Potential Surface Integral Equations for Penetrable Scatterers",

abstract = "An explicit time marching scheme is developed to solve a system of time domain surface integral equations enforced on homogeneous penetrable objects for scalar potential and its normal derivative. This system is cast in the form of an ordinary differential equation (ODE) and unknowns are expanded using high-order nodal functions. Inserting these expansions into the ODE and applying point-testing (Nystr{\"o}m method) yield a system in time-dependent coefficients of the unknown expansions. This system is integrated in time using a predictor-corrector algorithm to yield the expansion coefficients. The resulting explicit time marching scheme uses the same time step size as its implicit counterpart without sacrificing the stability of the solution and is almost three times faster for low frequency excitations.",

author = "Rui Chen and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2021-02-23",

year = "2020",

doi = "10.1109/IEEECONF35879.2020.9329824",

language = "English (US)",

isbn = "978-1-7281-6671-1",

booktitle = "2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting",

publisher = "IEEE",

}

TY - GEN

T1 - Explicit Solution of Time Domain Scalar Potential Surface Integral Equations for Penetrable Scatterers

AU - Chen, Rui

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2021-02-23

PY - 2020

Y1 - 2020

N2 - An explicit time marching scheme is developed to solve a system of time domain surface integral equations enforced on homogeneous penetrable objects for scalar potential and its normal derivative. This system is cast in the form of an ordinary differential equation (ODE) and unknowns are expanded using high-order nodal functions. Inserting these expansions into the ODE and applying point-testing (Nyström method) yield a system in time-dependent coefficients of the unknown expansions. This system is integrated in time using a predictor-corrector algorithm to yield the expansion coefficients. The resulting explicit time marching scheme uses the same time step size as its implicit counterpart without sacrificing the stability of the solution and is almost three times faster for low frequency excitations.

AB - An explicit time marching scheme is developed to solve a system of time domain surface integral equations enforced on homogeneous penetrable objects for scalar potential and its normal derivative. This system is cast in the form of an ordinary differential equation (ODE) and unknowns are expanded using high-order nodal functions. Inserting these expansions into the ODE and applying point-testing (Nyström method) yield a system in time-dependent coefficients of the unknown expansions. This system is integrated in time using a predictor-corrector algorithm to yield the expansion coefficients. The resulting explicit time marching scheme uses the same time step size as its implicit counterpart without sacrificing the stability of the solution and is almost three times faster for low frequency excitations.

UR - http://hdl.handle.net/10754/667544

UR - https://ieeexplore.ieee.org/document/9329824/

U2 - 10.1109/IEEECONF35879.2020.9329824

DO - 10.1109/IEEECONF35879.2020.9329824

M3 - Conference contribution

SN - 978-1-7281-6671-1

BT - 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting

PB - IEEE

ER -

Explicit Solution of Time Domain Scalar Potential Surface Integral Equations for Penetrable Scatterers

Abstract

Access to Document

Other files and links

Fingerprint

Cite this