Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity
DOI10.1080/17415977.2020.1801675zbMath1473.65231OpenAlexW3048590148MaRDI QIDQ5152239
Vanda M. Luchesi, Everton Boos, Fermin S. Viloche Bazán
Publication date: 17 September 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2020.1801675
inverse problemMorozov's discrepancy principleChebyshev pseudospectral methodLevenberg-Marquardt methodorthotropic conductivity reconstruction
PDEs in connection with optics and electromagnetic theory (35Q60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Uses Software
Cites Work
- Nonmonotone algorithm for minimization on closed sets with applications to minimization on Stiefel manifolds
- Inverse problems with final overdetermination for parabolic equations with unknown coefficients multiplying the highest derivative
- Iterative regularization methods for nonlinear ill-posed problems
- Chebyshev pseudospectral method for wave equation with absorbing boundary conditions that does not use a first order hyperbolic system
- Spectral approximation for elliptic boundary value problems
- Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints
- Orthogonal collocation revisited
- Time-dependent perfusion coefficient estimation in a bioheat transfer problem
- Numerical study of a parametric parabolic equation and a related inverse boundary value problem
- The Finite Element Method: Theory, Implementation, and Applications
- Numerical study of anisotropic thermal conductivity fabrics with heating elements
- Conformal uniqueness results in anisotropic electrical impedance imaging
- On Uniqueness of Recovery of the Discontinuous ConductivityCoefficient of a Parabolic Equation
- Determining conductivity by boundary measurements II. Interior results
- A second order finite volume technique for simulating transport in anisotropic media
- A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction
- Spectral Methods in MATLAB
- Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
- Linear and Nonlinear Inverse Problems with Practical Applications
- Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane
- A spectral method for solving the sideways heat equation
- Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements
- Identification of thermal conductivity for orthotropic FGMs by DT-DRBEM and L-M algorithm
- Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
- Gradient-based estimation of uncertain parameters for elliptic partial differential equations
- Extension of GKB‐FP algorithm to large‐scale general‐form Tikhonov regularization
- Inverse problems for partial differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
