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作者:Antholzer Stephan , Haltmeier Markus , Schwab Johannes
来源:[J].Inverse problems in science and engineering(IF 0.754), 2019, Vol.27 (7), pp.987-1005
摘要:The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper, we investigate this issue for the sparse data problem in photoacoustic tomography (PAT). We develop a direct and highly efficient reconstruction algorit...
作者:Babaniyi Olalekan A , Oberai Assad A , Barbone Paul E
来源:[J].Inverse problems in science and engineering(IF 0.754), 2017, Vol.25 (3), pp.326-362
摘要:We consider the problem of estimating the 2 D vector displacement field in a heterogeneous elastic solid deforming under plane stress conditions. The problem is motivated by applications in quasistatic elastography. From precise and accurate measurements of one component of the 2...
作者:Boiger R , Fiedler A , Hasenauer J ...
来源:[J].Inverse problems in science and engineering(IF 0.754), 2019, Vol.27 (6), pp.710-734
摘要:The parameters of many physical processes are unknown and have to be inferred from experimental data. The corresponding parameter estimation problem is often solved using iterative methods such as steepest descent methods combined with trust regions. For a few problem classes als...
作者:Banks H T , Hu Shuhua , Link Kathryn ...
来源:[J].Inverse problems in science and engineering(IF 0.754), 2016, Vol.24 (1), pp.127-152
摘要:In this paper we develop and validate with bootstrapping techniques a mechanistic mathematical model of immune response to both BK virus infection and a donor kidney based on known and hypothesized mechanisms in the literature. The model presented does not capture all the details...
作者:Su Jianzhong , Klibanov Michael V , Liu Yueming ...
来源:[J].Inverse problems in science and engineering(IF 0.754), 2013, Vol.21 (7)
摘要:A numerical method for an inverse problem for an elliptic equation with the running source at multiple positions is presented. This algorithm does not rely on a good first guess for the solution. The so-called "approximate global convergence" property of this method is shown here...
作者:Banks H T , Rehm K L
来源:[J].Inverse problems in science and engineering(IF 0.754), 2014, Vol.22 (4), pp.557-590
摘要:We formulate an optimal design problem for the selection of best states to observe and optimal sampling times for parameter estimation or inverse problems involving complex nonlinear dynamical systems. An iterative algorithm for implementation of the resulting methodology is prop...
作者:Albocher U , Barbone P E , Richards M S ...
来源:[J].Inverse problems in science and engineering(IF 0.754), 2014, Vol.22 (8), pp.1307-1328
摘要:We apply the adjoint weighted equation method (AWE) to the direct solution of inverse problems of incompressible plane strain elasticity. We show that based on untreated noisy displacements, the reconstruction of the shear modulus can be very poor. We link this poor performance t...

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