TY - GEN
T1 - A Finite Element Method to Solve the Maxwell Equations in Three-Dimensional Singular Geometry
AU - Assous, F.
AU - Raichik, I.
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - We propose to solve a three-dimensional time-dependent Maxwell equations in a singular axisymmetric domain with arbitrary data. Using the axisymmetric assumption, the singular computational domain is reduced to a subset of R2, but the electromagnetic field belong to R3. By performing a Fourier analysis in one dimension, we get a sequence of singular problems set in a 2D domain, and propose a new finite element approach to solve the problem. Numerical experiments illustrate the method.
AB - We propose to solve a three-dimensional time-dependent Maxwell equations in a singular axisymmetric domain with arbitrary data. Using the axisymmetric assumption, the singular computational domain is reduced to a subset of R2, but the electromagnetic field belong to R3. By performing a Fourier analysis in one dimension, we get a sequence of singular problems set in a 2D domain, and propose a new finite element approach to solve the problem. Numerical experiments illustrate the method.
UR - http://www.scopus.com/inward/record.url?scp=85171994012&partnerID=8YFLogxK
U2 - 10.1109/PIERS59004.2023.10221413
DO - 10.1109/PIERS59004.2023.10221413
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AN - SCOPUS:85171994012
T3 - 2023 Photonics and Electromagnetics Research Symposium, PIERS 2023 - Proceedings
SP - 263
EP - 271
BT - 2023 Photonics and Electromagnetics Research Symposium, PIERS 2023 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 Photonics and Electromagnetics Research Symposium, PIERS 2023
Y2 - 3 July 2023 through 6 July 2023
ER -