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Study of fourthorder boundary value problem based on Volterra–Fredholm equation: numerical treatment Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210722
This paper presents a study of the performance of the Tau method using Chebyshev basis functions for solving fourthorder differential equation with boundary conditions. Existence and uniqueness of the solution of this equation are investigated transforming it into the Volterra–Fredholm integral equation. We use the operational Tau matrix representation with Chebyshev basis functions for constructing

Solution of the Cauchy problem for the wave equation using iterative regularization Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210720
We propose a regularization method based on the iterative conjugate gradient method for the solution of a Cauchy problem for the wave equation in one dimension. This linear but illposed Cauchy problem consists of finding the displacement and flux on a hostile and inaccessible part of the medium boundary from Cauchy data measurements of the same quantities on the remaining friendly and accessible part

Enhanced features in principal component analysis with spatial and temporal windows for damage identification Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210720
Principal component analysis (PCA) methods have been widely applied to damage identification in the longterm structural health monitoring (SHM) of infrastructure. Usually, the first few eigenvector components derived by PCA methods are treated as damagesensitive features. In this paper, the effective method of doublewindow PCA (DWPCA) and novel features are proposed for better damage identification

Fault identification in cracked rotorAMB system using magnetic excitations based on multi harmonic influence coefficient method Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210717
Onsite estimation of multiple fault parameters has been performed in a rotor integrated with activemagnetic bearing (AMB) with a cracked shaft supported on flexible conventional bearings. In addition to external viscous damping (at flexible bearings), internal damping (at transverse crack) is considered to show its influence on the dynamics of the cracked system. The instability generated in the

A homogenization method to solve inverse Cauchy–Stefan problems for recovering nonsmooth moving boundary, heat flux and initial value Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210708
CheinShan Liu, JiangRen ChangIn the paper, we solve two Stefan problems. The first problem recovers an unknown moving boundary by specifying the Cauchy boundary conditions on a fixed leftend. The second problem finds a timedependent heat flux on the leftend, such that a desired moving boundary can be achieved. Then, we solve an inverse CauchyStefan problem, using the overspecified Cauchy boundary conditions on a given moving

Thermal characterization of complex shape composite materials using Karhunen–Loève decomposition techniques Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210707
M. Mint Brahim, A. Godin, M. Azaïez, E. Palomo Del BarrioA new method for estimating the thermal properties of composite materials is proposed. It uses a previously developed thermal characterization method that is based on Karhunen–Loève decomposition (KLD) techniques in association with infrared thermography experiments or any other kind of experimental device providing dense data in spatial coordinates. The novelty of this work lies in the introduction

A locally sequential refinement of the growth dynamics identification Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210702
M. RomanovskiThe approach is developed to specify a reconstruction of complicated functions using samples of limited size with invariant properties regarding the desired parameters. The idea is based on solutions to inverse problems, which should identify various representations of unknown parameters of a mathematical model and do so in a series. The sequential solutions to inverse problems ensure the identifiability

Reconstruction of refractive index maps using photogrammetry Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210701
A. Miller, A.J. Mulholland, K.M.M. Tant, S.G. Pierce, B. Hughes, A.B. ForbesLarge volume metrology is a key enabler of autonomous precision manufacturing. For component positioning, the opticalbased metrology technique of photogrammetry could be used more widely if its accuracy was improved. These positional measurements are subject to uncertainties which can be greater than manufacturing tolerances. One source of uncertainty is due to thermal gradients, which cause the refraction

Regularization for the inversion of fibre Bragg grating spectra Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210626
Daniel Gerth, Susann Hannusch, Oliver G. Ernst, Jörn IhlemannFibre Bragg Gratings have become widespread measurement devices in engineering and other fields of application. In all but a few cases, the relation between cause and effect is simplified to a proportional model. However, at its mathematical core lies a nonlinear inverse problem which appears not to have received much attention in the literature. In this paper, we present this core problem to the mathematical

Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210624
Trung Truong, DinhLiem Nguyen, Michael V. KlibanovThis paper is concerned with the inverse scattering problem which aims to determine the spatially distributed dielectric constant coefficient of the 2D Helmholtz equation from multifrequency backscatter data associated with a single direction of the incident plane wave. We propose a globally convergent convexification numerical algorithm to solve this nonlinear and illposed inverse problem. The key

Quasi3D inverse design of Sshaped diffuser with specified crosssection distribution; superellipse, eggshaped, and ellipse Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210622
Ali Madadi, Mahdi NiliAhmadabadi, Mohammad Jafar KermaniRecently, an inverse design method called the ball spine algorithm (BSA) is introduced to design Sduct diffusers with elliptic crosssections. The technique is developed for the 3D design of Sshaped ducts with special crosssectional profiles in the present work. The upper and lower lines of the Sduct symmetric section are modified under the BSA. Two types of special crosssection profiles are

Damage diagnosis of highrise buildings under variable ambient conditions using subdomain approach Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210622
K. Lakshmi, M. KeerthivasTall structures, during their service lifetime, face many scenarios and are often prone to damages. Generally, static or dynamic measurements from the entire structure are used while formulating the Structural Health Monitoring (SHM) techniques for damage diagnosis. In this paper, an outputonly damage diagnostic technique using the decentralized concept (subdomainbased) for highrise buildings, employing

Localization of impact on box mechanical structure by the method of modal parameters extraction combined with Kmeans clustering Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210614
Zhenfeng Huang, Dahuan Wei, Hanling Mao, Xinxin Li, Weili Tang, Kuangchi Sun, Xun QianIn structural health monitoring, the localization of impact is one of the most basic and challenging problems. However, existing technologies are only suitable for obtaining the impact position of plate structures, which hinder their engineering applications. Here, we propose a new method to study the impact position of complex box structures. The proposed method is based on modal parameters and kmeans

New method to interpret the ‘canister test’ data for determining kinetic parameters of coalbed gas: theory and experiment Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210606
A. L. Karchevsky, L. A. Nazarov, L. A. NazarovaThe nonlinear model has been developed and implemented to describe gas emission from coal slack placed in a sealed container (‘canister test’). The model accounts for initial gas content S, coefficients of diffusion D, mass transfer β and desorption kinetics γ, as well as for fractional composition of the sample. Using the developed analytical method of the initial boundary value problem solution,

An extended samplingensemble Kalman filter approach for partial data inverse elastic problems Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210606
Zhaoxing Li, Jiguang Sun, Liwei XuInverse problems are more challenging when only partial data are available in general. In this paper, we propose a twostep approach combining the extended sampling method and the ensemble Kalman filter to reconstruct an elastic rigid obstacle using partial data. In the first step, the approximate location of the unknown obstacle is obtained by the extended sampling method. In the second step, the

Inverse estimation of temperaturedependent refractive index profile in conductiveradiative media Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210606
H. Shafiee, S. M. Hosseini SarvariThe aim of this paper is to retrieve the temperaturedependent refractive index distribution in parallelplane semitransparent media with combined conductionradiation heat transfer, by the measurement of exit intensities over the boundaries. The finite volume method in combination with the discrete ordinates method is used to solve the energy equation. The results of the direct solution for both

Evaluation of lightning location using measured induced voltage obtained from distribution power networks Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210512
Mahdi Izadi, Mohd Zainal Abidin Ab Kadir, Miszaina Osman, Maryam HajikhaniLightning location is a significant issue in the protection of transmission lines, renewable energy sources, and electrical equipment. In this article, a new technique for the determination of lightning striking points is been proposed. This method is depending on measured values of lightninginduced voltage obtained from distribution power lines in the vicinity of the lightning channel. The proposed

Active manipulation of Helmholtz scalar fields in an ocean of two homogeneous layers of constant depth Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210509
Neil Jerome A. Egarguin, Daniel Onofrei, Chaoxian Qi, Jiefu ChenIn this work, we prove the possibility of actively controlling the acoustic field in an ocean consisting of two homogeneous layers of constant depth using a surface source embedded in one of the layers. For a class of prescribed fields on some bounded control regions in either layer, we show the existence of a boundary input on the source, either acoustic pressure or normal velocity so that the propagated

Cornering stiffness estimation using Levenberg–Marquardt approach Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210504
Camila Leão Pereira, Ricardo Teixeira da Costa Neto, Bruna Rafaella LoiolaStudy of vehicle dynamics aggregates possibilities to enhance performance, safety and reliability, such as the integration of control systems, usually requiring knowledge on vehicle's states and parameters. However, some critical values are difficult to measure or are not disclosed. For this reason, dynamics and stability analysis of sixwheeled vehicles are compromised, and available information on

Noncontact detection of singlecell leadacid battery electrodes’ defects through conductivity reconstruction by magnetic induction tomography Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210504
Shujian Tang, Guogang Zhang, Lijia Ge, Zhengxiang Song, Yingsan Geng, Jianhua WangThe change of electrodes’ conductivity is a crucial parameter during battery aging process, noncontact detection of battery electrodes’ defects through conductivity reconstruction is an innovative technology. In this paper, the magnetic induction tomography (MIT) was applied to reconstruct the conductivity of electrodes, the simplified battery models with complete and broken electrodes were chosen

Projected finite dimensional iteratively regularized Gauss–Newton method with a posteriori stopping for the ionospheric radiotomography problem Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210429
M. Yu. Kokurin, A. E. Nedopekin, A. V. SemenovaWe investigate a class of finite dimensional iteratively regularized Gauss–Newton methods for solving nonlinear irregular operator equations in a Hilbert space. The developed technique allows to investigate in a uniform style various discretization methods such as projection, quadrature and collocation schemes and to take into account available restrictions on the solution. We propose an a posteriori

Inverse shape design method based on pressure and shear stress for separated flow via Elastic Surface Algorithm Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210428
Mohammad Hossein Noorsalehi, Mahdi NiliAhmadabadi, Kyung Chun KimElastic Surface Algorithm (ESA), which was proposed for the inverse design in external flows, substitutes the airfoil wall by an elastic curved beam that deforms due to a difference between the target and current pressure distributions. The original ESA, such as all inverse design methods, which use only pressure as the target parameter, cannot converge in separated flows because of an almost constant

An inverse problem to simulate the transport of chloride in concrete by time–space fractional diffusion model Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210419
Chenqing Feng, Xinhui Si, Botong Li, Limei Cao, Jing ZhuIn this paper, we proposed a fractional diffusion model to simulate the movement of chloride in concrete. In such complex porous structure some of the free chlorides, which are affected by the surrounding heterogeneous physical environment, will be bounded physically and chemically. Furthermore, experiments reveal that the interesting heavytailed phenomena appear in diffusion process. The time and

An identification problem related to mud filtrate invasion phenomenon during drilling operations Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210419
Tudor BoacaIn this paper, we study two identification problems related to the mud filtrate invasion phenomenon. We want to determine a parameter (the invasion rate) in the coefficients of the parabolic equation that describes the mud filtrate invasion phenomenon. In the first problem, we determine this parameter starting from the observed values of the mud filtrate dispersion. We reduce the problem to an optimal

Three Landweber iterative methods for solving the initial value problem of timefractional diffusionwave equation on spherically symmetric domain Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210417
Fan Yang, QiaoXi Sun, XiaoXiao LiIn this paper, the inverse problem for identifying the initial value of timefractional diffusion wave equation on spherically symmetric region is considered. The exact solution of this problem is obtained by using the method of separating variables and the property the Mittag–Leffler functions. This problem is illposed, i.e. the solution(if exists) does not depend on the measurable data. Three different

An inverse source identification by nonlinear optimization in a twodimensional hyperbolic problem Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210411
Murat Subaşı, Faika Derya Şendur, Cavide YaşarThis study deals with the identification of source function from final time state observation in a twodimensional hyperbolic problem. The solution to the direct problem is obtained by the weak solution approach and finite element method. In the part of the inverse problem, the trustregion method and Levenberg–Marquardt method, which are nonlinear leastsquares optimization methods, are used for the

State estimation problem for the detection of valve closure in gas pipelines Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210409
Italo M. Madeira, Mabel A. R. Lucumi, Helcio R. B. OrlandeThe undesired and unexpected closure of valves in pipelines is the most frequent failure that causes interruptions in the transport of natural gas. This work aims at the detection of valve closures by solving a state estimation problem with the Particle Filter method. The gas flow problem in the duct is solved with a Weighted Average Flux – Total Variation Diminishing scheme, while state variables

A Bayesian method for an inverse transmission scattering problem in acoustics Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210409
Jiangfeng Huang, Zhaoxing Li, Bo WangIn this paper, we study an inverse transmission scattering problem of a timeharmonic acoustic wave from the viewpoint of Bayesian statistics. In Bayesian inversion, the solution of the inverse problem is the posterior distribution of the unknown parameters conditioned on the observational data. The shape of the scatterer will be reconstructed from fullaperture and limitedaperture farfield measurement

Forcebased stiffness mapping for early detection of breast cancer Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210407
Lorraine G. Olson, Robert D. Throne, Emily I. Rusnak, Jonathan P. GannonABSTRACT Early detection of breast cancer will continue to be crucial in improving patient survival rates for the foreseeable future. Our longterm goal is to automate and refine the manual breast exam process using measured data on the breast surface in combination with formal inverse techniques to generate threedimensional maps of the stiffness inside the breast tissue. In this paper, we report

Nonlinear conjugate gradient method for identifying Young's modulus of the elasticity imaging inverse problem Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210402
Talaat Abdelhamid, Rongliang Chen, Md. Mahbub AlamApplication of elasticity imaging inverse problem to identify Young's modulus in the elasticity problems in human's life is an interesting research area. In this study, we identify the modulus of elasticity for solving elasticity imaging inverse problem using a modified output leastsquares method. Numerical convergence in the displacements of the direct problem for elasticity is investigated. To study

Estimation method for inverse problems with linear forward operator and its application to magnetization estimation from magnetic force microscopy images using deep learning Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210329
Hajime Kawakami, Hajime KudoABSTRACT This study considers an inverse problem, where the corresponding forward problem is given by a finitedimensional linear operator T. The inverse problem has the following form: (data)=T(unknown). It is assumed that the number of patterns that the unknown quantity can take is finite. Then, even if Ker T≠{0}, the unknown quantity may be uniquely determined from the data. This case is the subject

Inverse singular value problem for nonsymmetric ahead arrow matrix Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210329
F. Fathi, M. A. Fariborzi Araghi, S. A. Shahzadeh FazeliABSTRACT Constructing a matrix by its spectral information including singular values is called inverse singular value problem (ISVP). In this paper, an ISVP for nonsymmetric ahead arrow matrix by two eigenpairs of the required matrix and one singular value of each leading principal submatrices is investigated. To solve the problem, the recurrence relation of characteristic polynomial of the block Jordan–Weilant

A modified quasireversibility method for inverse source problem of Poisson equation Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210322
Jin Wen, LiMing Huang, ZhuanXia LiuABSTRACT In this article, we consider an inverse source problem for Poisson equation in a strip domain. That is to determine source term in the Poisson equation from a noisy boundary data. This is an illposed problem in the sense of Hadamard, i.e., small changes in the data can cause arbitrarily large changes in the results. Before we give the main results about our proposed problem, we display some

Unknown source identification problem for spacetime fractional diffusion equation: optimal error bound analysis and regularization method Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210319
Fan Yang, QianChao Wang, XiaoXiao LiIn this paper, the problem of unknown source identification for the spacetime fractional diffusion equation is studied. In this equation, the time fractional derivative used is a new fractional derivative, namely, CaputoFabrizio fractional derivative. We have illustrated that this problem is an illposed problem. Under the assumption of a priori bound, we obtain the optimal error bound analysis of

The generalized flexibility matrix method for structural damage detection with incomplete mode shape data Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210315
Haifeng Liu, Baisheng Wu, Zhengguang LiAchieving complete data of measured mode shapes is costly during the process of structural dynamic test. This results in a challenge for the damage detection. This paper concentrates on structural damage detection problem with incomplete mode shape data. An efficient method to deal with this problem is proposed. The generalized flexibility matrix (GFM) is employed. By introducing a few new variables

Inverse source problem of heat conduction equation with timedependent diffusivity on a spherical symmetric domain Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210313
Xiaoxiao Geng, Hao Cheng, Mian LiuIn this paper, we consider the inverse source problem of heat conduction equation with timedependent diffusivity on a spherical symmetric domain. This problem is illposed, i.e. the solution of the problem does not depend continuously on the measured data. To solve this problem, we propose an iterative regularization method and obtain the Hölder type error estimates. Numerical examples are presented

Sequential estimation of creatinine removal by a haemodialyser Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210311
Felipe Y. Magalhães, Helcio R. B. Orlande, José H. R. SuassunaThis work is focused on the transient analysis of a haemodialyser. The objective is to sequentially estimate the concentration of creatinine in the blood returning to the patient, by solving a state estimation problem with measurements of the outflow creatinine concentration in the dialysate. Simulated measurements containing Gaussian errors were used in the inverse analysis, which was based on the

Identification of the air gap thermal resistance in the model of binary alloy solidification including the macrosegregation and the material shrinkage phenomena Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210305
Adam Zielonka, Edyta Hetmaniok, Damian SłotaGoal of this elaboration is to investigate the mathematical model of the inverse problem of binary alloy solidification within the casting mould, with the material shrinkage and the macrosegregation phenomena included simultaneously. Major result of this paper is the solution of the inverse problem consisting in reconstruction of the following elements: the thermal resistance of the air gap created

Inverse design of 3D curved ducts using a 3Dupgraded ballspine algorithm Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210301
Atefeh Kariminia, Mahdi NiliAhmadabadi, Kyung Chun KimABSTRACT Achieving a unique solution for the 3D inverse design of a curved duct is a challenging problem in aerodynamic design. The centreline curvature, and crosssections’ area and shape of a 3D curved duct influence the wall pressure distribution. All the previous developments on the ballspine method were limited to 2D and quasi3D ducts, in which only the upper and lower lines of the symmetry

Analysis for twodimensional inverse quasilinear parabolic problem by Fourier method Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210225
Fatma Kanca, Irem BaglanIn this work, twodimensional inverse quasilinear parabolic problem with periodic boundary and integral overdetermination conditions is investigated. The formal solution is obtained by the Fourier approximation. Under some natural regularity and consistency conditions on the input data,the existence, uniqueness and continuously dependence upon the data of the solution are proved by iteration method

Bayesian estimation and uncertainty quantification in models of urea hydrolysis by E. coli biofilms Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210224
Benjamin D. Jackson, James M. Connolly, Robin Gerlach, Isaac Klapper, Albert E. ParkerABSTRACT Ureahydrolysing biofilms are crucial to applications in medicine, engineering, and science. Quantitative information about ureolysis rates in biofilms is required to model these applications. We formulate a novel model of urea consumption in a biofilm that allows different kinetics, for example either first order or Michaelis–Menten. The model is fit to synthetic data to validate and compare

Approximation error model (AEM) approach with hybrid methods in the forwardinverse analysis of the transesterification reaction in 3Dmicroreactors Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210222
P. C. Pontes, J. M. Costa Junior, C. P. NaveiraCotta, M. K. TiwariThis work advances the approximation error model approach for the inverse analysis of the biodiesel synthesis using soybean oil and methanol in 3Dmicroreactors. Two hybrid numericalanalytical approaches of reduced computational cost are considered to offer an approximate forward problem solution for a threedimensional nonlinear coupled diffusiveconvectivereactive model. First, the Generalized

Experimental static data based damage localization of beamlike structures considering axial load Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210217
M.S. Hashemi, R.A. Izadifard, O. YazdanpanahIn this research work, a crack diagnosis method for beamcolumn structures is proposed considering axial load effects through experimental data. The proposed method is employed for the detection of damage locations including single and multiple damage scenarios considering four cases of simply supported beamcolumn. The results show that the locations of single and multiple damage scenarios can be

Inverse scattering problem for detecting a defect in a magnetoelastic layer Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210209
Khaled M. Elmorabie, Rania YahyaABSTRACT This work is devoted to studying a direct and inverse scattering problem for a magnetoelastic layer having a defect, in the frame of the electromagnetic theory. In terms of the displacement field over the defect's contour, a coupled system of boundary integral equations is formulated, for magnetically permeable and impermeable defects. To identify the position and size of the defect, an efficient

A simple method of reconstructing a pointlike scatterer according to timedependent acoustic wave propagation Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210209
Bo Chen, Yao SunThis paper investigates the approximate solutions to the timedependent acoustic scattering problem with a pointlike scatterer under some basic assumptions and provides a simple method to reconstruct the location of the scatterer. The approximations of the solution to the forward scattering problem are analysed utilizing Green's function and the retarded singlelayer potential. Then, based on the

Inverse eigenvalue problems for discrete gyroscopic systems Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210208
Hairui Zhang, Yongxin YuanA discrete gyroscopic system is characterized by 2 n firstorder ordinary differential equations defined by one symmetric and one skewsymmetric, which system describes the motion of a spinning body containing elastic parts. In this paper, we consider the inverse problems of such system: Given partial spectral data, find a system such that it is of the desired spectral data. The general solution of

A blocking scheme for dimensionrobust Gibbs sampling in largescale image deblurring Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210205
Jesse Adams, Matthias Morzfeld, Kevin Joyce, Marylesa Howard, Aaron LuttmanABSTRACT Among the most significant challenges with using Markov chain Monte Carlo (MCMC) methods for sampling from the posterior distributions of Bayesian inverse problems is the rate at which the sampling becomes computationally intractable, as a function of the number of estimated parameters. In image deblurring, there are many MCMC algorithms in the literature, but few attempt reconstructions for

Solution of the symmetric band partial inverse eigenvalue problem for the damped mass spring system Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210203
Suman Rakshit, Biswa Nath DattaABSTRACT The structured partial quadratic inverse eigenvalue problem (SPQIEP) is to construct the structured quadratic matrix polynomial using the partial eigendata. The structures arising in physical applications include symmetry, band (tridiagonal, diagonal, pentagonal) etc. The construction of the structured matrix polynomial is the most difficult aspect of this problem and the research on structured

A blocking scheme for dimensionrobust Gibbs sampling in largescale image deblurring Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210205
Jesse Adams, Matthias Morzfeld, Kevin Joyce, Marylesa Howard, Aaron LuttmanABSTRACT Among the most significant challenges with using Markov chain Monte Carlo (MCMC) methods for sampling from the posterior distributions of Bayesian inverse problems is the rate at which the sampling becomes computationally intractable, as a function of the number of estimated parameters. In image deblurring, there are many MCMC algorithms in the literature, but few attempt reconstructions for

Simultaneous reconstruction of optical absorption property and speed of sound in intravascular photoacoustic tomography Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210131
Zheng Sun, Lishuang SunIntravascular photoacoustic tomography (IVPAT) is a newly developed imaging modality for the diagnosis and intervention of coronary artery diseases. It is an illposed nonlinear least squares (NLS) problem to recover the absorbed optical energy density (AOED) and optical absorption coefficient (OAC) distribution in the vascular cross sections from pressure photoacoustically generated by tissues with

Foreword Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210118
George S. Dulikravich(2021). Foreword. Inverse Problems in Science and Engineering: Vol. 29, No. 1, pp. 11.

Function estimation and regularization in the SIRD model applied to the COVID19 pandemics Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210117
C. C. Pacheco, C. R. de LacerdaABSTRACT This paper deals with the quantification of the different rates in epidemiological models from a function estimation framework, with the objective of identifying the desired unknowns without defining a priori basis functions for describing its behaviour. This approach is used to analyze data for the Covid19 pandemic in Italy and Brazil. The forward problem is written in terms of the SIRD

Inverse problem techniques for multiple crack detection in 2D elastic continua based on extended finite element concepts Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210113
P. BroumandTwo efficient methods are presented to detect multiple cracks in 2D elastic bodies, based on the insights from Extended Finite Element. Adetection mesh is assigned to the cracked body and the responses are measured at the nodes. A finite element model with the same mesh is used to represent the uncracked state of the physical body. In the first method which is called Crack Detection based on Residual

Free vibration of the double tapered cracked beam Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210113
Mehmet Haskul, Murat KisaThis study presents the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element and component mode synthesis methods. To determine the natural frequency and mode shape of the double tapered cracked beam, the stiffness and mass matrices of the beam have been obtained. The crack in the beam is modeled as a massless spring, and the beam

Inverse analysis for rock mechanics based on a high dimensional model representation Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210111
Hongbo Zhao, Bingrui ChenMechanical parameters of rock mass are essential in rock engineering for stability analysis, supporting design, and safety construction. The inverse analysis has been commonly used in rock engineering to determine the mechanical parameters of the rock mass. In this study, a novel inverse analysis approach was proposed through combing high dimensional model representation (HDMR), Excel solver, and numerical

Grid methods for Bayesoptimal continuousdiscrete filtering and utilizing a functional tensor train representation Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210106
Colin Fox, Sergey Dolgov, Malcolm E. K. Morrison, Timothy C. A. MoltenoOptimal continuousdiscrete filtering for a nonlinear system requires evolving the forward Kolmogorov equation, that is a Fokker–Planck equation, in alternation with Bayes' conditional updating. We present two numerical gridmethods that represent density functions on a mesh, or grid. For lowdimensional, smooth systems the finitevolume method is an effective solver that gives estimates that converge

Grid methods for Bayesoptimal continuousdiscrete filtering and utilizing a functional tensor train representation Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20210106
Optimal continuousdiscrete filtering for a nonlinear system requires evolving the forward Kolmogorov equation, that is a Fokker–Planck equation, in alternation with Bayes' conditional updating. We present two numerical gridmethods that represent density functions on a mesh, or grid. For lowdimensional, smooth systems the finitevolume method is an effective solver that gives estimates that converge

A high order PDEconstrained optimization for the image denoising problem Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20201230
Lekbir Afraites, Aissam Hadri, Amine Laghrib, Mourad NachaouiIn the present work, we investigate the inverse problem of identifying simultaneously the denoised image and the weighting parameter that controls the balance between two diffusion operators for an evolutionary partial differential equation (PDE). The problem is formulated as a nonsmooth PDEconstrained optimization model. This PDE is constructed by second and fourthorder diffusive tensors that

Nonlocal viscoelastic EulerBernoulli beam model: a Bayesian approach for parameter estimation using the delayed rejection adaptive metropolis algorithm Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20201228
D. S. Faria, L. T. Stutz, D. A. CastelloThe present work presents a model for nonlocal and viscoelastic EulerBernoulli beams and aspects of its calibration are addressed. The nonlocal feature of the model is described by the nonlocal elasticity theory proposed by Eringen and its viscoelastic behaviour is modelled by means of internal variables. Parametric analyses are performed to determine the impact of the nonlocal and viscoelastic parameters

Adaptative regularization parameter for poisson noise with a bilevel approach: application to spectral computerized tomography Inverse Probl. Sci. Eng. (IF 1.95) Pub Date : 20201222
B. SixouIn this paper, we present a method of choice of an adaptative regularization parameter for data corrupted by Poisson noise based on a bilevel approach. The forward operator considered is nonlinear. The existence and unicity of the smoothed lower level problem, the differentiability properties of the constraint, and the adjoint method used to calculate the gradient of the reduced functional are studied