Inverse Problems in Science and Engineering最新文献

筛选
英文 中文
Nonlinear conjugate gradient method for identifying Young's modulus of the elasticity imaging inverse problem 弹性成像反问题杨氏模量的非线性共轭梯度辨识方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-04-02 DOI: 10.1080/17415977.2021.1905638
Talaat Abdelhamid, Rongliang Chen, M. Alam
{"title":"Nonlinear conjugate gradient method for identifying Young's modulus of the elasticity imaging inverse problem","authors":"Talaat Abdelhamid, Rongliang Chen, M. Alam","doi":"10.1080/17415977.2021.1905638","DOIUrl":"https://doi.org/10.1080/17415977.2021.1905638","url":null,"abstract":"Application 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 least-squares method. Numerical convergence in the displacements of the direct problem for elasticity is investigated. To study the elasticity imaging inverse problem in an optimization framework, we utilize the sensitivity and adjoint problems to conceptualize a new model for computing the gradient of the minimizer. Discrete formulae in the model are then used to devise a scheme for an efficient computation gradient of the modified output least-squares objective function using the nonlinear conjugate gradient method. Numerical experiments demonstrate the effectiveness of the proposed technique.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2165 - 2185"},"PeriodicalIF":1.3,"publicationDate":"2021-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1905638","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46418448","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
Estimation method for inverse problems with linear forward operator and its application to magnetization estimation from magnetic force microscopy images using deep learning 线性正演算子反问题估计方法及其在深度学习磁力显微镜图像磁化估计中的应用
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-29 DOI: 10.1080/17415977.2021.1905637
Hajime Kawakami, H. Kudo
{"title":"Estimation method for inverse problems with linear forward operator and its application to magnetization estimation from magnetic force microscopy images using deep learning","authors":"Hajime Kawakami, H. Kudo","doi":"10.1080/17415977.2021.1905637","DOIUrl":"https://doi.org/10.1080/17415977.2021.1905637","url":null,"abstract":"ABSTRACT This study considers an inverse problem, where the corresponding forward problem is given by a finite-dimensional linear operator T. The inverse problem has the following form: It is assumed that the number of patterns that the unknown quantity can take is finite. Then, even if the unknown quantity may be uniquely determined from the data. This case is the subject of this study. We propose a method for solving this inverse problem using numerical calculations. A famous inverse problem requires the estimation of the unknown magnetization distribution or magnetic charge distribution in an anisotropic permanent magnet sample from the magnetic force microscopy images. It is known that the solution of this problem is not unique in general. In this work, we consider the case where a magnetic sample comprises cubic cells, and the unknown magnetic moment is oriented either upward or downward in each cell. This discretized problem is an example of the above-mentioned inverse problem: Numerical calculations were carried out to solve this model problem employing our method and deep learning. The experimental results show that the magnetization can be estimated roughly up to a certain depth.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2131 - 2164"},"PeriodicalIF":1.3,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1905637","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42332185","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 singular value problem for nonsymmetric ahead arrow matrix 非对称前进箭头矩阵的奇异值逆问题
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-29 DOI: 10.1080/17415977.2021.1902515
F. Fathi, M. A. Fariborzi Araghi, S. A. Shahzadeh Fazeli
{"title":"Inverse singular value problem for nonsymmetric ahead arrow matrix","authors":"F. Fathi, M. A. Fariborzi Araghi, S. A. Shahzadeh Fazeli","doi":"10.1080/17415977.2021.1902515","DOIUrl":"https://doi.org/10.1080/17415977.2021.1902515","url":null,"abstract":"ABSTRACT 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 matrix associated with the aim matrix is obtained. The conditions of solvability of the problem are derived. Finally a numerical algorithm and an example are given.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2085 - 2097"},"PeriodicalIF":1.3,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1902515","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43699850","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
A modified quasi-reversibility method for inverse source problem of Poisson equation 泊松方程逆源问题的一种修正拟可逆性方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-22 DOI: 10.1080/17415977.2021.1902516
Jin Wen, Li-Ming Huang, Zhuan-Xia Liu
{"title":"A modified quasi-reversibility method for inverse source problem of Poisson equation","authors":"Jin Wen, Li-Ming Huang, Zhuan-Xia Liu","doi":"10.1080/17415977.2021.1902516","DOIUrl":"https://doi.org/10.1080/17415977.2021.1902516","url":null,"abstract":"ABSTRACT 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 ill-posed 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 useful lemmas at first. Then we propose a modified quasi-reversibility regularization method to deal with the inverse source problem and obtain a convergence rate by using an a priori regularization parameter choice rule. Numerical examples are provided to show the effectiveness of the proposed method.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2098 - 2109"},"PeriodicalIF":1.3,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1902516","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43792568","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
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method 时空分数阶扩散方程的未知源识别问题:最优误差界分析和正则化方法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-19 DOI: 10.1080/17415977.2021.1900841
Fan Yang, Qian-Chao Wang, Xiao-Xiao Li
{"title":"Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method","authors":"Fan Yang, Qian-Chao Wang, Xiao-Xiao Li","doi":"10.1080/17415977.2021.1900841","DOIUrl":"https://doi.org/10.1080/17415977.2021.1900841","url":null,"abstract":"In this paper, the problem of unknown source identification for the space-time fractional diffusion equation is studied. In this equation, the time fractional derivative used is a new fractional derivative, namely, Caputo-Fabrizio fractional derivative. We have illustrated that this problem is an ill-posed problem. Under the assumption of a priori bound, we obtain the optimal error bound analysis of the problem under the source condition. Moreover, we use a modified quasi-boundary regularization method and Landweber iterative regularization method to solve this ill-posed problem. Based on a priori and a posteriori regularization parameter selection rules, the corresponding convergence error estimates of the two regularization methods are obtained, respectively. Compared with the modified quasi-boundary regularization method, the convergence error estimate of Landweber iterative regularization method is order-optimal. Finally, the advantages, stability and effectiveness of the two regularization methods are illustrated by examples with different properties.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2040 - 2084"},"PeriodicalIF":1.3,"publicationDate":"2021-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1900841","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45951997","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
The generalized flexibility matrix method for structural damage detection with incomplete mode shape data 不完全振型数据下结构损伤检测的广义柔度矩阵法
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-15 DOI: 10.1080/17415977.2021.1900840
Haifeng Liu, Baisheng Wu, Zhengguang Li
{"title":"The generalized flexibility matrix method for structural damage detection with incomplete mode shape data","authors":"Haifeng Liu, Baisheng Wu, Zhengguang Li","doi":"10.1080/17415977.2021.1900840","DOIUrl":"https://doi.org/10.1080/17415977.2021.1900840","url":null,"abstract":"Achieving 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 and partitioning the involved matrices, a nonnegative linear least square model is derived. Most of the variables in the model are the damage extents of structural elements. Our method does not involve mode shape expansion or reduction technique. Three numerical examples show that the performance of the proposed method is superior to that of the GFM method combining with mode shape expansion, it is almost the same as that of the GFM approach with complete mode shapes data.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2019 - 2039"},"PeriodicalIF":1.3,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1900840","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47779282","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
Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain 球对称域上含时扩散率热传导方程的反源问题
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-13 DOI: 10.1080/17415977.2021.1899172
Xiaoxiao Geng, Hao Cheng, Mian Liu
{"title":"Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain","authors":"Xiaoxiao Geng, Hao Cheng, Mian Liu","doi":"10.1080/17415977.2021.1899172","DOIUrl":"https://doi.org/10.1080/17415977.2021.1899172","url":null,"abstract":"In this paper, we consider the inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain. This problem is ill-posed, 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 to demonstrate the effectiveness of the proposed method.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1653 - 1668"},"PeriodicalIF":1.3,"publicationDate":"2021-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1899172","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45405823","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: 10
Sequential estimation of creatinine removal by a haemodialyser 血液透析器去除肌酸酐的顺序估计
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-11 DOI: 10.1080/17415977.2021.1897123
Felipe Y. Magalhães, H. Orlande, J. Suassuna
{"title":"Sequential estimation of creatinine removal by a haemodialyser","authors":"Felipe Y. Magalhães, H. Orlande, J. Suassuna","doi":"10.1080/17415977.2021.1897123","DOIUrl":"https://doi.org/10.1080/17415977.2021.1897123","url":null,"abstract":"This 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 Sampling Importance Resampling (SIR) algorithm of the Particle Filter method. Accurate results reveal that this technique may possibly be used for online monitoring and control of the haemodialysis therapy.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1981 - 2001"},"PeriodicalIF":1.3,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1897123","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44946070","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
Identification of the air gap thermal resistance in the model of binary alloy solidification including the macrosegregation and the material shrinkage phenomena 包含宏观偏析和材料收缩现象的二元合金凝固模型中气隙热阻的识别
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-05 DOI: 10.1080/17415977.2021.1897584
A. Zielonka, E. Hetmaniok, D. Słota
{"title":"Identification of the air gap thermal resistance in the model of binary alloy solidification including the macrosegregation and the material shrinkage phenomena","authors":"A. Zielonka, E. Hetmaniok, D. Słota","doi":"10.1080/17415977.2021.1897584","DOIUrl":"https://doi.org/10.1080/17415977.2021.1897584","url":null,"abstract":"Goal 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 between the cast and the mould in the course of solidification process and the heat transfer coefficient on the boundary of heat exchange between the mould and environment. The additional information, necessary to solve the inverse task, is delivered by the temperature measurements read in the control point located in the centre of the mould. The theoretical discussion is supported by the numerical examples executed for various sets of input data.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"2002 - 2018"},"PeriodicalIF":1.3,"publicationDate":"2021-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1897584","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48679046","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 design of 3D curved ducts using a 3D-upgraded ball-spine algorithm 使用三维升级的球脊算法进行三维弯曲管道的逆向设计
IF 1.3 4区 工程技术
Inverse Problems in Science and Engineering Pub Date : 2021-03-01 DOI: 10.1080/17415977.2021.1894143
A. Kariminia, M. Nili-Ahmadabadi, K. Kim
{"title":"Inverse design of 3D curved ducts using a 3D-upgraded ball-spine algorithm","authors":"A. Kariminia, M. Nili-Ahmadabadi, K. Kim","doi":"10.1080/17415977.2021.1894143","DOIUrl":"https://doi.org/10.1080/17415977.2021.1894143","url":null,"abstract":"ABSTRACT Achieving a unique solution for the 3D inverse design of a curved duct is a challenging problem in aerodynamic design. The centre-line curvature, and cross-sections’ area and shape of a 3D curved duct influence the wall pressure distribution. All the previous developments on the ball-spine method were limited to 2D and quasi-3D ducts, in which only the upper and lower lines of the symmetry plane were modified based on the target pressure distribution. In the present work, the ball-spine method was three-dimensionally developed for the design of curved ducts while considering the effects of cross-sectional shape and area. To validate the method, all the nodes of a 3D duct wall were iteratively corrected under the modified ball-spine method to reach the target geometry. The effects of the ball movement directions (spines) and the grid generation scheme in achieving the unique solution in inverse design were evaluated. The results showed that the new method converges to a unique solution only if the streamline-based grids are applied for the flow numerical solution, and the horizontal spines are considered as the directions for the displacement of the nodes. Finally, the wall pressure distribution of a high-deflected 3D S-shaped diffuser was three-dimensionally modified to reduce the separation, secondary flow, and flow distortion.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1946 - 1980"},"PeriodicalIF":1.3,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1894143","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49558023","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信