Articlegreen2006

Computational Modeling of Uncertainty in Time-Domain Electromagnetics

Cédric Chauvière · Jan S. Hesthaven · Laura Lurati

119 citations0/0 files storedSIAM Journal on Scientific Computing

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Probabilistic and Robust Engineering Design Electromagnetic Scattering and Analysis Electromagnetic Simulation and Numerical Methods

Abstract

We discuss computationally efficient ways of accounting for the impact of uncertainty, e.g., lack of detailed knowledge about sources, materials, shapes, etc., in computational time-domain electromagnetics. In contrast to classic statistical Monte Carlo--based methods, we explore a probabilistic approach based on high-order accurate expansions of general stochastic processes. We show this to be highly efficient and accurate on both one- and two-dimensional examples, enabling the computation of global sensitivities of measures of interest, e.g., radar-cross-sections (RCS) in scattering applications, for a variety of types of uncertainties.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 119 citations exist upstream.

References

1991Stochastic Finite Elements: A Spectral Approach 2005High-Order Collocation Methods for Differential Equations with Random Inputs 2003Modeling uncertainty in flow simulations via generalized polynomial chaos

Cited by

2016Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations 2007An efficient SFE method using Lagrange polynomials: Application to nonlinear mechanical problems with uncertain parameters 2009Numerical analysis of the Burgers’ equation in the presence of uncertainty 2016Application of Different Methods to Quantify Uncertainty in Specific Absorption Rate Calculation Using a CAD-Based Mobile Phone Model 2011Uncertainty analysis of the specific absorption rate induced in a phantom using a stochastic spectral collocation method 2018Stochastic Polynomial Chaos Expansion Analysis of a Split-Ring Resonator at Terahertz Frequencies 2015Uncertainty Quantification for Electromagnetic Systems Using ASGC and DGTD Method 2019Controlled Stratification Based on Kriging Surrogate Model: An Algorithm for Determining Extreme Quantiles in Electromagnetic Compatibility Risk Analysis

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.