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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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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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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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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On Calibration and Direction Finding with Uniform Circular Arrays by Stephan Häfner, Martin Käske, Reiner Thomä

“…DF is stated as an inverse problem, which solution requires a parametric model of the array itself. …”
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Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii by Anzhou Cao, Haibo Chen, Jicai Zhang, Xianqing Lv

“…Based on the theory of inverse problem, the optimization of open boundary conditions (OBCs) in a 3D internal tidal model is investigated with the adjoint method. …”
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Optimal Multi-Physics Synthesis of a Dual-Frequency Power Inductor Using Deep Neural Networks and Gaussian Process Regression by Paolo Di Barba, Arash Ghafoorinejad, Maria Evelina Mognaschi, Fabrizio Dughiero, Michele Forzan, Elisabetta Sieni

“…In turn, to solve the inverse problem, i.e., to identify frequencies and currents of the two coils, given a prescribed temperature profile, two approaches have been implemented. …”
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Quantitative estimating size of deep defects in multi-layered structures from eddy current NDT signals using improved ant colony algorithm by Bo Ye, Ming Li, Gefei Qiu, Jun Dong, Fang Zeng, Tanghua Yang, Biao Bai

“…The method uses a finite element forward model to simulate the underlying physical process and an improved ant colony algorithm (IACA) to solve the inverse problem. Experiments are carried out. The performance comparison between the IACA method and the least square method is shown. …”
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A physiologically-based pharmacokinetic model for the antibiotic ertapenem by Michele L. Joyner, Cammey C. Manning, Whitney Forbes, Michelle Maiden, Ariel N. Nikas

“…Parameters in the model were estimated using a least squares inverse problem formulation with published data for blood concentrations of ertapenem for normal height, normal weight males. …”
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Damage Identification in Bars with a Wave Propagation Approach and a Hybrid Optimization Method by R.A. Tenenbaum, K.M. Fernandes, L.T. Stutz, A.J. Silva Neto

“…The formulation and solution of the inverse problem of damage identification based on wave propagation approach are presented. …”
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Monte Carlo modeling of temporal point spread functions and sensitivity functions for mesoscopic time-resolved fluorescence molecular tomography by S.I. Samarin, A.B. Konovalov, V.V. Vlasov, I.D. Solovyev, A.P. Savitsky, V.V. Tuchin

“…The method solves the inverse problem first for a generalized fluorescence parameter distribution function and then calculates separate distributions for the fluorophore absorption coefficient and the fluorescence lifetime. …”
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