Recovering the source and initial value simultaneously in a parabolic equation
In this paper, we consider an inverse problem to simultaneously reconstruct the source term
and initial data associated with a parabolic equation based on the additional temperature …
and initial data associated with a parabolic equation based on the additional temperature …
[HTML][HTML] Descent gradient methods for nonsmooth minimization problems in ill-posed problems
Descent gradient methods are the most frequently used algorithms for computing
regularizers of inverse problems. They are either directly applied to the discrepancy term …
regularizers of inverse problems. They are either directly applied to the discrepancy term …
[HTML][HTML] Identification of wind turbine main-shaft torsional loads from high-frequency SCADA (supervisory control and data acquisition) measurements using an …
WD Remigius, A Natarajan - Wind Energy Science, 2021 - wes.copernicus.org
To assess the structural health and remaining useful life of wind turbines within wind farms,
the site-specific structural response and modal parameters of the primary structures are …
the site-specific structural response and modal parameters of the primary structures are …
Matrix coefficient identification in an elliptic equation with the convex energy functional method
In this paper we study the inverse problem of identifying the diffusion matrix in an elliptic
PDE from measurements. The convex energy functional method with Tikhonov …
PDE from measurements. The convex energy functional method with Tikhonov …
[HTML][HTML] Variational method for multiple parameter identification in elliptic PDEs
TNT Quyen - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In the present paper we investigate the inverse problem of identifying simultaneously the
diffusion matrix, source term and boundary condition in the Neumann boundary value …
diffusion matrix, source term and boundary condition in the Neumann boundary value …
Dynamic force identification problem based on a novel improved Tikhonov regularization method
C Ren, N Wang, Q Liu, C Liu - Mathematical Problems in …, 2019 - Wiley Online Library
The main purpose of this paper is to identify the dynamic forces between the conical pick
and the coal‐seam. According to the theory of time domain method, the dynamic force …
and the coal‐seam. According to the theory of time domain method, the dynamic force …
Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type
Z Peng, Z Liu - Communications in Nonlinear Science and Numerical …, 2021 - Elsevier
In this paper we study an inverse problem governed by a constrained nonlinear elliptic quasi-
variational hemivariational inequality. The inequality involves two nondifferentiable functions …
variational hemivariational inequality. The inequality involves two nondifferentiable functions …
On two-coefficient identification in elliptic variational inequalities
J Gwinner - Optimization, 2018 - Taylor & Francis
This paper is concerned with elliptic variational inequalities that depend on two parameters.
First, we investigate the dependence of the solution of the forward problem on these …
First, we investigate the dependence of the solution of the forward problem on these …
Reconstructing conductivity coefficients based on sparsity regularization and measured data in electrical impedance tomography
QM Pham - Inverse Problems in Science and Engineering, 2015 - Taylor & Francis
In this paper, we investigate an inverse problem in electrical impedance tomography. Based
on measured data and the sparsity of conductivity coefficients, we use sparse regularization …
on measured data and the sparsity of conductivity coefficients, we use sparse regularization …
Finite element analysis for identifying the reaction coefficient in PDE from boundary observations
TNT Quyen - Applied Numerical Mathematics, 2019 - Elsevier
This work is devoted to the nonlinear inverse problem of identifying the reaction coefficient in
an elliptic boundary value problem from single Cauchy data on a part of the boundary. We …
an elliptic boundary value problem from single Cauchy data on a part of the boundary. We …