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Inverse Problems in Science and Engineering最新文献

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Projected finite dimensional iteratively regularized Gauss–Newton method with a posteriori stopping for the ionospheric radiotomography problem 电离层辐射成像问题的投影有限维迭代正则化高斯-牛顿后验停止方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-29 DOI: 10.1080/17415977.2021.1916818
M. Kokurin, A. E. Nedopekin, A. Semenova
{"title":"Projected finite dimensional iteratively regularized Gauss–Newton method with a posteriori stopping for the ionospheric radiotomography problem","authors":"M. Kokurin, A. E. Nedopekin, A. Semenova","doi":"10.1080/17415977.2021.1916818","DOIUrl":"https://doi.org/10.1080/17415977.2021.1916818","url":null,"abstract":"We 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 stopping rule for the iterative process and establish an accuracy estimate for obtained approximation. The regularized Gauss–Newton method combined with the quadrature discretization and the a posteriori iteration stopping is applied to a model ionospheric radiotomography problem. The problem is reduced to a nonlinear integral equation describing the phase shift of a sounding radio signal in dependence of the free electron concentration in the ionosphericplasma.Weestablish theunique solvability of the inverse problem in the class of analytic functions. ARTICLE HISTORY Received 19 September 2020 Accepted 5 April 2021","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"1 1","pages":"1-23"},"PeriodicalIF":1.3,"publicationDate":"2021-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1916818","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43148346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse shape design method based on pressure and shear stress for separated flow via Elastic Surface Algorithm 基于压力和剪应力的分离流弹性曲面反形状设计方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-28 DOI: 10.1080/17415977.2021.1914604
M. H. Noorsalehi, M. Nili-Ahmadabadi, K. Kim
{"title":"Inverse shape design method based on pressure and shear stress for separated flow via Elastic Surface Algorithm","authors":"M. H. Noorsalehi, M. Nili-Ahmadabadi, K. Kim","doi":"10.1080/17415977.2021.1914604","DOIUrl":"https://doi.org/10.1080/17415977.2021.1914604","url":null,"abstract":"Elastic 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 pressure inside the separated region. This study developed the ESA for the inverse design in external separated flows by considering a linear combination of normalized pressure and shear stress distribution as the target flow parameter. Removing the geometrical filtrations, the automatic determination of the beam elasticity modulus, and the definition of dynamic spines instead of the vertical spines were the other essential modifications to upgrade the ESA for separated flows. The method was verified for blunt-leading-edged airfoils in subsonic turbulent flow under different angles of attack, and different initially-guessed geometries. The method reduced the separation by modifying the wall shear stress along the separation region.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2357 - 2400"},"PeriodicalIF":1.3,"publicationDate":"2021-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1914604","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47358626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An inverse problem to simulate the transport of chloride in concrete by time–space fractional diffusion model 用时空分数扩散模型模拟氯离子在混凝土中的输运的反问题
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-19 DOI: 10.1080/17415977.2021.1914606
C. Feng, Xinhui Si, Botong Li, Limei Cao, Jing Zhu
{"title":"An inverse problem to simulate the transport of chloride in concrete by time–space fractional diffusion model","authors":"C. Feng, Xinhui Si, Botong Li, Limei Cao, Jing Zhu","doi":"10.1080/17415977.2021.1914606","DOIUrl":"https://doi.org/10.1080/17415977.2021.1914606","url":null,"abstract":"In 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 heavy-tailed phenomena appear in diffusion process. The time and spatial fractional derivatives are introduced to explain the anomalous diffusion and the dependence of medium properties. The numerical research shows that present model could better fit the experimental data and the diffusion of chloride in concrete is time-dependent and space-dependent.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2429 - 2445"},"PeriodicalIF":1.3,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1914606","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48704667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An identification problem related to mud filtrate invasion phenomenon during drilling operations 钻井作业中泥浆滤液侵入现象的识别问题
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-19 DOI: 10.1080/17415977.2021.1914605
T. Boaca
{"title":"An identification problem related to mud filtrate invasion phenomenon during drilling operations","authors":"T. Boaca","doi":"10.1080/17415977.2021.1914605","DOIUrl":"https://doi.org/10.1080/17415977.2021.1914605","url":null,"abstract":"In 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 control problem and prove the existence of the optimal control. In the second problem, we determine the invasion rate imposing the minimum condition of the quantity of mud filtrate that diffuses into the oil reservoir. We also reduce the identification problem to an optimal control problem. We prove the existence of the optimal control and we obtain a simple explicit form of this optimal control. A numerical example is presented for the second problem.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2401 - 2428"},"PeriodicalIF":1.3,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1914605","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43487826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain 球对称域上时间分数阶扩散波方程初值问题的三种Landweber迭代解法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-17 DOI: 10.1080/17415977.2021.1914603
Fan Yang, Qiao‐Xi Sun, Xiao-Xiao Li
{"title":"Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain","authors":"Fan Yang, Qiao‐Xi Sun, Xiao-Xiao Li","doi":"10.1080/17415977.2021.1914603","DOIUrl":"https://doi.org/10.1080/17415977.2021.1914603","url":null,"abstract":"In this paper, the inverse problem for identifying the initial value of time-fractional 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 ill-posed, i.e. the solution(if exists) does not depend on the measurable data. Three different kinds landweber iterative methods are used to solve this problem. Under the priori and the posteriori regularization parameters choice rules, the error estimates between the exact solution and the regularization solutions are obtained. Several numerical examples are given to prove the effectiveness of these regularization methods.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2306 - 2356"},"PeriodicalIF":1.3,"publicationDate":"2021-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1914603","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41600884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem 二维双曲型问题的非线性优化反源辨识
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-11 DOI: 10.1080/17415977.2021.1904235
M. Subaşi, Faika Derya Şendur, Cavide Yaşar
{"title":"An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem","authors":"M. Subaşi, Faika Derya Şendur, Cavide Yaşar","doi":"10.1080/17415977.2021.1904235","DOIUrl":"https://doi.org/10.1080/17415977.2021.1904235","url":null,"abstract":"This study deals with the identification of source function from final time state observation in a two-dimensional 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 trust-region method and Levenberg–Marquardt method, which are nonlinear least-squares optimization methods, are used for the identification of source function. The findings are presented with numerical examples.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2110 - 2130"},"PeriodicalIF":1.3,"publicationDate":"2021-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1904235","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48190243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Bayesian method for an inverse transmission scattering problem in acoustics 声学中反透射散射问题的贝叶斯方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-09 DOI: 10.1080/17415977.2021.1912744
Jiangfeng Huang, Zhao-Peng Li, Bo Wang
{"title":"A Bayesian method for an inverse transmission scattering problem in acoustics","authors":"Jiangfeng Huang, Zhao-Peng Li, Bo Wang","doi":"10.1080/17415977.2021.1912744","DOIUrl":"https://doi.org/10.1080/17415977.2021.1912744","url":null,"abstract":"In this paper, we study an inverse transmission scattering problem of a time-harmonic 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 full-aperture and limited-aperture far-field measurement data. We first prove a well-posedness result for the posterior distribution in the sense of the Hellinger metric. Then, we employ the Markov chain Monte Carlo method based on the preconditioned Crank-Nicolson algorithm to extract the posterior distribution information. Numerical results are given to demonstrate the effectiveness of the proposed method.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2274 - 2287"},"PeriodicalIF":1.3,"publicationDate":"2021-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1912744","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45035360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
State estimation problem for the detection of valve closure in gas pipelines 燃气管道阀门关闭检测的状态估计问题
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-09 DOI: 10.1080/17415977.2021.1910682
Italo M. Madeira, M. A. R. Lucumi, H. Orlande
{"title":"State estimation problem for the detection of valve closure in gas pipelines","authors":"Italo M. Madeira, M. A. R. Lucumi, H. Orlande","doi":"10.1080/17415977.2021.1910682","DOIUrl":"https://doi.org/10.1080/17415977.2021.1910682","url":null,"abstract":"The 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 are estimated with simulated measurements of pressure, velocity and temperature at different points along the pipeline. Two versions of the particle filter method are implemented in this work for the solution of the state estimation problem, namely, the Sampling Importance Resampling (SIR) and the Auxiliary Sampling Importance Resampling (ASIR) algorithms. Accurate estimations were obtained with both algorithms for configurations involving pipelines with one or three valves. On the other hand, the SIR algorithm required a larger number of particles than the ASIR algorithm for the same solution accuracy.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2186 - 2206"},"PeriodicalIF":1.3,"publicationDate":"2021-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1910682","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48958970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Force-based stiffness mapping for early detection of breast cancer 基于强迫刚度映射的癌症早期检测
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-07 DOI: 10.1080/17415977.2021.1912036
L. Olson, R. Throne, Emily I. Rusnak, J. P. Gannon
{"title":"Force-based stiffness mapping for early detection of breast cancer","authors":"L. Olson, R. Throne, Emily I. Rusnak, J. P. Gannon","doi":"10.1080/17415977.2021.1912036","DOIUrl":"https://doi.org/10.1080/17415977.2021.1912036","url":null,"abstract":"ABSTRACT Early detection of breast cancer will continue to be crucial in improving patient survival rates for the foreseeable future. Our long-term 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 three-dimensional maps of the stiffness inside the breast tissue. In this paper, we report on computational techniques that use force measurements to create the stiffness map and validate the computational techniques experimentally with silicone tissue phantom experiments. We conducted 16 tests on tumour-free phantom samples and 16 tests on tumour-containing phantoms. Our stiffness mapping approach resulted in one false positive and a correct identification of the remaining 31/32 samples.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2239 - 2273"},"PeriodicalIF":1.3,"publicationDate":"2021-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1912036","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49308060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Characterization of electromagnetic parameters through inversion using metaheuristic technique 利用元启发式技术通过反演表征电磁参数
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-03 DOI: 10.1080/17415977.2020.1797718
M. Elkattan, A. Kamel
{"title":"Characterization of electromagnetic parameters through inversion using metaheuristic technique","authors":"M. Elkattan, A. Kamel","doi":"10.1080/17415977.2020.1797718","DOIUrl":"https://doi.org/10.1080/17415977.2020.1797718","url":null,"abstract":"Inverse problems are of importance in many fields of science and engineering. Electromagnetic inversion deals with estimating information contained in electromagnetic measurements. The inversion scheme needs to be designed properly to compensate for Gibbs oscillations effects in the solution, and hence give better validation for the estimated quantities. In this paper an inversion methodology based on simulated annealing is presented that has the ability to extract information about electrical conductivity and dielectric permittivity of a vertically stratified medium using the scattered electric field. Furthermore, Gibbs phenomenon and its oscillation effect on the inversion solution have been studied, and an efficient approach has been developed to render more accurate estimations. Results of implementing the proposed approach and its resolution compared with the original methodology are presented.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"567 - 585"},"PeriodicalIF":1.3,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1797718","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45344689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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