Zobrazeno 1 - 10
of 618
pro vyhledávání: '"65n21"'
This work introduces a method for preprocessing measurements of electrical impedance tomography to considerably reduce the effect uncertainties in the electrode contacts have on the reconstruction quality, without a need to explicitly estimate the co
Externí odkaz:
http://arxiv.org/abs/2412.15009
Autor:
Schlüter, Hjørdis
Hybrid inverse problems such as Acousto-Electric Tomography, Current Density Imaging or Magnetic Resonance Electric Impedance Tomography are concerned with reconstructing the electrical conductivity from interior measurements. For a two-dimensional o
Externí odkaz:
http://arxiv.org/abs/2411.06246
Autor:
Sun, Shiwei, Alberti, Giovanni S.
We consider the inverse problem consisting of the reconstruction of an inclusion $B$ contained in a bounded domain $\Omega\subset\mathbb{R}^d$ from a single pair of Cauchy data $(u|_{\partial\Omega},\partial_\nu u|_{\partial\Omega})$, where $\Delta u
Externí odkaz:
http://arxiv.org/abs/2411.00463
Autor:
Kuijpers, Safiere, Scarabosio, Laura
We consider the Bayesian approach to the inverse problem of recovering the shape of an object from measurements of its scattered acoustic field. Working in the time-harmonic setting, we focus on a Helmholtz transmission problem and then extend our re
Externí odkaz:
http://arxiv.org/abs/2410.23100
Autor:
Dou, Fangfang, Lü, Peimin
In this paper, we investigate an inverse Cauchy problem for a stochastic hyperbolic equation. A Lipschitz type observability estimate is established using a pointwise Carleman identity. By minimizing the constructed Tikhonov-type functional, we obtai
Externí odkaz:
http://arxiv.org/abs/2410.12370
Autor:
Maes, Frederick, Van Bockstal, Karel
This paper investigates the inverse problems of determining a space-dependent source for thermoelastic systems of type III under adequate time-averaged or final-in-time measurements and conditions on the time-dependent part of the sought source. Seve
Externí odkaz:
http://arxiv.org/abs/2410.05775
Numerically the reconstructability of unknown parameters in inverse problems heavily relies on the chosen data. Therefore, it is crucial to design an experiment that yields data that is sensitive to the parameters. We approach this problem from the p
Externí odkaz:
http://arxiv.org/abs/2409.15906
This work focuses on developing and motivating a stochastic version of a wellknown inverse problem methodology. Specifically, we consider the iteratively regularized Gauss-Newton method, originally proposed by Bakushinskii for infinite-dimensional pr
Externí odkaz:
http://arxiv.org/abs/2409.12381
This work is devoted to inverse problems for elliptic partial differential equations in an Euclidean domain, in which the boundary and/or interior conditions are given merely on some accessible portion of the boundary and/or inside the domain, the go
Externí odkaz:
http://arxiv.org/abs/2409.03686
Autor:
Taghizadeh, Leila, Jüngel, Ansgar
A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is given. The goal is to estimate the posterior probability distribution
Externí odkaz:
http://arxiv.org/abs/2408.11485