Inverse Problems in Science and Engineering最新文献

A New Approach to Analytical Modeling of Mars’s Magnetic Field 火星磁场分析建模的新方法

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2022-01-04 DOI: 10.1080/17415977.2021.2018427

I. E. Stepanova, T. Gudkova, A. Salnikov, A. Batov

引用次数: 1

Recovery of thermal load parameters by means of the Monte Carlo method with fixed and meshless random walks 用蒙特卡罗方法恢复固定和无网格随机漫步的热负荷参数

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-24 DOI: 10.1080/17415977.2021.2016738

S. Milewski

引用次数: 0

Solution of the Cauchy problem for the wave equation using iterative regularization 用迭代正则化方法求解波动方程的柯西问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-23 DOI: 10.1080/17415977.2021.1949590

M. Alosaimi, D. Lesnic, B. Johansson

{"title":"Solution of the Cauchy problem for the wave equation using iterative regularization","authors":"M. Alosaimi, D. Lesnic, B. Johansson","doi":"10.1080/17415977.2021.1949590","DOIUrl":"https://doi.org/10.1080/17415977.2021.1949590","url":null,"abstract":"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 ill-posed 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 of the boundary. This inverse boundary value problem is recast as a least-squares minimization problem that is solved by using the conjugate gradient method whose iterations are stopped according to the discrepancy principle for obtaining stable reconstructions. The objective functional associated is proved Fréchet differentiable and a formula for its gradient is derived. The well-posed direct, adjoint and sensitivity problems present in the conjugate gradient method are solved by using a finite-difference method. Two numerical examples to illustrate the accuracy and stability of the proposed numerical procedure are thoroughly presented and discussed.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"49 1","pages":"2757 - 2771"},"PeriodicalIF":1.3,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2021.1949590","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"59997975","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: 4

A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems 非线性逆问题迭代求解中Hessian的偏振张量近似

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-23 DOI: 10.1080/17415977.2021.1951722

F. Watson, M. G. Crabb, W. Lionheart

{"title":"A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems","authors":"F. Watson, M. G. Crabb, W. Lionheart","doi":"10.1080/17415977.2021.1951722","DOIUrl":"https://doi.org/10.1080/17415977.2021.1951722","url":null,"abstract":"For many inverse parameter problems for partial differential equations in which the domain contains only well-separated objects, an asymptotic solution to the forward problem involving ‘polarization tensors’ exists. These are functions of the size and material contrast of inclusions, thereby describing the saturation component of the non-linearity. In this paper, we show how such an asymptotic series can be applied to non-linear least-squares reconstruction problems, by deriving an approximate diagonal Hessian matrix for the data misfit term. Often, the Hessian matrix can play a vital role in dealing with the non-linearity, generating good update directions which accelerate the solution towards a global minimum, but the computational cost can make direct calculation infeasible. Since the polarization tensor approximation assumes sufficient separation between inclusions, our approximate Hessian does not account for non-linearity in the form of lack of superposition in the inverse problem. It does, however, account for the non-linear saturation of the change in the data with increasing material contrast. We, therefore, propose to use it as an initial Hessian for quasi-Newton schemes. We present numerical experimentation into the accuracy and reconstruction performance of the approximate Hessian for the case of electrical impedance tomography, providing a proof of principle of the reconstruction scheme.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"18 1","pages":"2804 - 2830"},"PeriodicalIF":1.3,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76842049","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

Influence of Doppler broadening model accuracy in Compton camera list-mode MLEM reconstruction 多普勒展宽模型对康普顿相机表模MLEM重建精度的影响

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-12 DOI: 10.1080/17415977.2021.2011863

Yuemeng Feng, J. Létang, D. Sarrut, Voichia Maxim

引用次数: 10

Data assimilation in 2D viscous Burgers equation using a stabilized explicit finite difference scheme run backward in time 利用稳定的显式有限差分格式对二维粘性Burgers方程进行数据同化

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-09 DOI: 10.1080/17415977.2021.2009476

A. Carasso

引用次数: 1

Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem 从边界测量识别可变形液滴：非平稳Stokes问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-12-09 DOI: 10.1080/17415977.2021.2009475

C. Daveau, S. Bornhofen, A. Khelifi, Brice Naisseline

引用次数: 0

Identification of stationary source in the anomalous diffusion equation 异常扩散方程中平稳源的识别

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-11-21 DOI: 10.1080/17415977.2021.2000609

L. Su, V. Vasil'ev, T. Jiang, G. Wang

引用次数: 5

Inverse problems for a multi-term time fractional evolution equation with an involution 具有对合的多项时间分数演化方程的反问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-11-18 DOI: 10.1080/17415977.2021.2000606

Asim Ilyas, S. Malik, Summaya Saif

引用次数: 7

Call For Papers 征稿

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2021-11-16 DOI: 10.1080/17415977.2021.2000666

G. Dulikravich

{"title":"Call For Papers","authors":"G. Dulikravich","doi":"10.1080/17415977.2021.2000666","DOIUrl":"https://doi.org/10.1080/17415977.2021.2000666","url":null,"abstract":"Inverse problems, design theories and multi-objective constrained optimization strategies are three areas of advanced research of great interest for practicing engineers and designers. These three major areas of research have a number of things in common. For example, manymethodologies for solving inverse problems employ optimization algorithms.On the other hand, optimization techniques generally do not employ methods of inverse design, although they could potentially reduce the number of time-consuming analysis required by the typical evolutionary optimization algorithms. Similarly, design theory is commonly not used by the optimization community, where formulation of the appropriate multiple objectives and system-of-systems design formulations are often performed using intuition and personal experience. The solution of inverse, design and optimization problems needs to cope with uncertainties in the mathematical model of the forward problem, in the numerical method of solution,metamodeling,measured data, boundary conditions, properties of themedia, and others. As a result, statistical techniques play a fundamental role in practical applications. The objective of this minisymposium is to offer a forum on inverse, design and optimization problems in heat transfer. Contributions are particularly welcome on novel applications, such as in biomedicine, small scale processes, high temperatures and high pressures, materials design, as well as on statistical solution techniques, like those within the Bayesian framework. DEADLINE FOR ABSTRACT SUBMISSION: December 10, 2021 George S. Dulikravich dulikrav@fiu.edu © 2021 Informa UK Limited, trading as Taylor & Francis Group","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1671 - 1671"},"PeriodicalIF":1.3,"publicationDate":"2021-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49182042","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