Solving of Two-Dimensional Unsteady Inverse Heat Conduction Problems Based on Boundary Element Method and Sequential Function Specification Method by Shoubin Wang, Yuanzheng Deng, Xiaogang Sun

“…The boundary element method (BEM) and sequential function specification method (SFSM) are used to research the inverse problem of boundary heat flux identification in the two-dimensional heat conduction system. …”
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Improved Error Reduction and Hybrid Input Output Algorithms for Phase Retrieval by including a Sparse Dictionary Learning-Based Inpainting Method by Jian-Jia Su, Chung-Hao Tien

“…The phase retrieval (PR), reconstructing an object from its Fourier magnitudes, is equivalent to a nonlinear inverse problem. In this paper, we proposed a two-step algorithm that traditional ER/HIO iteration plays as the coarse feature reconstruction, whereas the KSVD-based inpainting technique deals with the fine feature set accordingly. …”
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Refining potential energy surface through dynamical properties via differentiable molecular simulation by Bin Han, Kuang Yu

“…Essentially, this work contributes to the solution of the inverse problem of spectroscopy by extracting microscopic interactions from vibrational spectroscopic data.…”
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The Circulation Distribution on the Lifting Line for a Given Extracted Power by Ali Helali, Badreddine Kamoun, David Afungchui, Mohamed Jomaa Safi

“…Presently, there exist few numerical methods which treat the inverse problem for the determination of the geometry of wind turbine blades. …”
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Modified and Simplified Sectional Flexibility of a Cracked Beam by Chih-Shiung Wang, Lin-Tsang Lee

“…The natural frequencies measured from field can be used in solving the inverse problem to identify cracks in structures.…”
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On the Inverse EEG Problem for a 1D Current Distribution by George Dassios, George Fragoyiannis, Konstantia Satrazemi

“…The immediate representation of this problem refers to the inverse problem of electroencephalography (EEG) with a linear current distribution and the spherical model of the brain-head system. …”
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A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography by Yue Xiao

“…The minimization of the norm of this fictitious point source strength is as the criterion for choosing the optimal regularization parameter since the reconstructed value should tend to zero. The original inverse problem in calculating the source strengths is converted into a univariate optimization problem which is solved by a one-dimensional search technique. …”
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Random fields and up scaling, towards a more predictive probabilistic quantitative hydrogeology by Noetinger, Benoît

“…Those parameters are generally support-scale-dependent and uncertain, so some inverse problem and uncertainty analysis must be carried out in practical applications that involve generally some forward calculation for example a fluid flow simulation if one in interested in transfers in the subsurface. …”
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Residual stress determination by blind hole drilling and local displacement mapping in aluminium alloy aerospace components by Sviatoslav Eleonsky, Vladimir Pisarev, Eugene S. Statnik, Alexey I. Salimon, Alexander M. Korsunsky

“…It can be concluded from the analysis of the problem that the formulae connecting the raw experimental data and to the sought residual stress component values lead to a well-posed inverse problem. This makes it possible to obtain estimations of the measurement uncertainty. …”
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Model Modification of the Mill Transmission System Based on the PSO-BP Neural Network by Tao Zheng, Bao Xianle, Guo Qintao, Zhou Tianyang

“…Meanwhile, it does not need a large number of iterative solving steps, avoids the complex nonlinear optimization process of the traditional inverse problem model modification method, improves the efficiency, verifies the feasibility of the PSO-BP neural network method applied to the transmission system of large mill, and lays a foundation for the overall analysis of the subsequent transmission system.…”
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Pole Allocation Applied to Two Buildings Connected by Joint Damper by Yoshiki Ikeda, Yuki Matsumoto

“…For two adjacent buildings connected by a joint damper, an inverse problem is formulated based on the pole allocation method in control theory. …”
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CFD algorithm for moving boundary problems of isothermal drying and shrinkage: Case of prunes by Lentzou Diamanto, Templalexis Charalampos, Boudouvis Andreas G., Karathanos Vaios, Xanthopoulos Georgios

“…A moving-boundary FEM model describing isothermal drying of fruit was employed as an inverse problem to estimate water diffusivity and peel resistance, including shrinkage. …”
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Model-Corrected Microwave Imaging through Periodic Wall Structures by Paul C. Chang, Robert J. Burkholder, John L. Volakis

“…A linear back-projection solution and a nonlinear minimization solution are applied to solve the inverse problem. The model-based back-projection image corrects the distortion and has higher resolution compared with free space due to the inclusion of multipath propagation through the periodic wall, but considerable sidelobe clutter is present. …”
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The Lagrangian and Hamiltonian for the Two-Dimensional Mathews-Lakshmanan Oscillator by Wang Guangbao, Ding Guangtao

“…The purpose of this paper is to illustrate the theory and methods of analytical mechanics that can be effectively applied to the research of some nonlinear nonconservative systems through the case study of two-dimensionally coupled Mathews-Lakshmanan oscillator (abbreviated as M-L oscillator). (1) According to the inverse problem method of Lagrangian mechanics, the Lagrangian and Hamiltonian function in the form of rectangular coordinates of the two-dimensional M-L oscillator is directly constructed from an integral of the two-dimensional M-L oscillators. (2) The Lagrange and Hamiltonian function in the form of polar coordinate was rewritten by using coordinate transformation. (3) By introducing the vector form variables, the two-dimensional M-L oscillator motion differential equation, the first integral, and the Lagrange function are written. …”
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Residual stresses caused by static and dynamic contact interaction of composite plate and steel spherical indenter by Sviatoslav Eleonsky, Vladimir Pisarev

“…Data from interference measurements of in-plane displacement components are used to determine the principal components of residual stresses based on the unequivocally solution to the properly posed inverse problem. This procedure provides minimal possible errors inherent in a determination of residual stress components by measurements of local deformation response to small hole drilling in orthotropic plate. …”
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Elliptical Crack Identification in a Nonrotating Shaft by B. Muñoz-Abella, L. Rubio, P. Rubio, L. Montero

“…Second, once the direct problem is known, the inverse problem is approached. Genetic Algorithm technique has been used to estimate the crack parameters assuming known the natural frequencies of the cracked shaft.…”
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Geometrical-Feature-Preserving Adjoint Tomography of Near-Surface Structure with Seismic Early Arrival by Chao Zhang, Cheng Li, Jian Cai

“…Following the optimal transportation theory, we developed an EWI solution with a new objective function based on quadratic‐Wasserstein‐metric (W2-norm) to maintain the geometric characteristics of the distribution and improve the stability and convexity of the inverse problem. First, we gave the continuous form of the adjoint source and the Frechet gradient of the Wasserstein metric for seismic early arrival, which leads to an easy and efficient way to implement in the adjoint-state method. …”
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Brain Stroke Detection by Microwaves Using Prior Information from Clinical Databases by Natalia Irishina, Aurora Torrente

“…However, in case of brain lesion, the inverse problem is much more difficult due to the skull, which causes low microwave penetration and highly noisy data. …”
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Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm by Brihmat Chahira�, Nasreddine Amoura, Samir Lecheb, Hocine Kebir, Mohamed Abdessamed Ait Chikh, Bassima Tablit

“…In the first strategy, the inverse problem is solved using the natural frequencies of a plate with a known crack identity obtained through modal simulation in Abaqus. …”
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Force Magnitude Reconstruction Using the Force Transmissibility Concept by Y. E. Lage, N. M. M. Maia, M. M. Neves

“…This paper proposes the reconstruction of forces, based on the direct and inverse problems of transmissibility in multiple degree of freedom (MDOF) systems. …”
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