TY - GEN
T1 - Benchmark of Several Stochastic Finite Element Approach for the Poisson Equation
AU - Marquaille, Titouan
AU - Coatanhay, Arnaud
AU - Bonnafont, Thomas
N1 - Publisher Copyright:
© 2025 URSI.
PY - 2025/1/1
Y1 - 2025/1/1
N2 - This paper benchmarks stochastic finite element methods (SFEM) using Wiener-Askey polynomial chaos for solving the Poisson equation with uncertain permittivities in a biological cell model. We compare non-intrusive (leastsquares, projection) and spectral (SSFEM) methods, using uniform random variables for the permittivities. Results show that projection and SSFEM methods accurately estimate the electric potential at a significantly reduced computational cost compared to Monte Carlo, paving the way for efficient statistical analyses. This could for example be applied to model the electroporation phenomena.
AB - This paper benchmarks stochastic finite element methods (SFEM) using Wiener-Askey polynomial chaos for solving the Poisson equation with uncertain permittivities in a biological cell model. We compare non-intrusive (leastsquares, projection) and spectral (SSFEM) methods, using uniform random variables for the permittivities. Results show that projection and SSFEM methods accurately estimate the electric potential at a significantly reduced computational cost compared to Monte Carlo, paving the way for efficient statistical analyses. This could for example be applied to model the electroporation phenomena.
UR - https://www.scopus.com/pages/publications/105013774780
U2 - 10.46620/URSIEMTS25/KRBH5386
DO - 10.46620/URSIEMTS25/KRBH5386
M3 - Conference contribution
AN - SCOPUS:105013774780
T3 - 2025 URSI International Symposium on Electromagnetic Theory, EMTS 2025
BT - 2025 URSI International Symposium on Electromagnetic Theory, EMTS 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2025 URSI International Symposium on Electromagnetic Theory, EMTS 2025
Y2 - 23 June 2025 through 27 June 2025
ER -