Nondestructive evaluation using a reduced-order computational methodology

DOI10.1088/0266-5611/16/4/304zbMath0960.35107OpenAlexW2063826866MaRDI QIDQ4507839

William P. Winfree, Buzz Wincheski, Michele L. Joyner, Harvey Thomas Banks

Publication date: 10 May 2001

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/48ec5b602d1dc88021db8a044de994c1e5ab86d2

zbMATH Keywords

Maxwell's equationsleast squaresoptimization algorithmforward algorithmeddy current based techniquesproper orthogonal decomposition reduced-order methodology

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Decomposition methods (49M27)

Related Items

Rapid inverse parameter estimation using reduced-basis approximation with asymptotic error estimation ⋮ Reduced order borehole induction modelling ⋮ Optimal control of water flooding reservoir using proper orthogonal decomposition ⋮ Non-uniform rational basis spline hyper-surfaces for metamodelling ⋮ Modeling the flash-heat experiment on porous domains ⋮ Uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the Burgers equation ⋮ Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair ⋮ Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition ⋮ Comparison of two techniques for implementing the proper orthogonal decomposition method in damage detection problems ⋮ Accurate Solution of Bayesian Inverse Uncertainty Quantification Problems Combining Reduced Basis Methods and Reduction Error Models ⋮ A numerical study of the POD method in NDE ⋮ Thermal-based damage detection in porous materials ⋮ Fast Bayesian approach for parameter estimation ⋮ POD-Galerkin approximations in PDE-constrained optimization ⋮ Proper orthogonal decomposition for optimality systems ⋮ A non-intrusive reduced basis EKI for time fractional diffusion inverse problems ⋮ HDG-POD reduced order model of the heat equation

This page was built for publication: Nondestructive evaluation using a reduced-order computational methodology