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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-29 DOI: 10.1080/17415977.2021.1916818
M. Kokurin, A. E. Nedopekin, A. Semenova
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
研究了一类求解Hilbert空间中非线性不规则算子方程的有限维迭代正则高斯-牛顿方法。所开发的技术允许以统一的方式研究各种离散化方法,如投影、正交和搭配方案,并考虑到解决方案的可用限制。我们提出了迭代过程的后验停止规则,并对得到的近似建立了精度估计。将正交离散和后验迭代停止相结合的正则化高斯-牛顿方法应用于模型电离层射线层析成像问题。该问题被简化为一个非线性积分方程,描述了探测无线电信号的相移与电离层等离子体中自由电子浓度的关系。建立了解析函数类反问题的唯一可解性。文章历史收稿2020年9月19日接收2021年4月5日
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-28 DOI: 10.1080/17415977.2021.1914604
M. H. Noorsalehi, M. Nili-Ahmadabadi, K. Kim
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.
弹性曲面算法(ESA)提出了一种用于外流反设计的弹性曲面算法,该算法用弹性弯曲梁代替翼型壁面,该梁由于目标和流压力分布的差异而变形。原有的反设计方法和所有反设计方法一样,只以压力为目标参数,由于分离区域内压力几乎恒定,因此无法在分离流动中收敛。将归一化压力和剪应力分布的线性组合作为目标流动参数,建立了用于外分离流反设计的ESA。去除几何过滤,自动确定梁弹性模量,定义动态脊而不是垂直脊是对分离流ESA进行升级的其他必要修改。对亚音速湍流中不同迎角和不同初始几何形状的钝前缘翼型进行了验证。该方法通过改变沿分离区的壁面剪应力来减小分离。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-19 DOI: 10.1080/17415977.2021.1914606
C. Feng, Xinhui Si, Botong Li, Limei Cao, Jing Zhu
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.
本文提出了一个分数扩散模型来模拟氯离子在混凝土中的运动。在这种复杂的多孔结构中,一些游离氯化物受到周围非均相物理环境的影响,在物理和化学上受到束缚。此外,实验还发现在扩散过程中出现了有趣的重尾现象。引入时间和空间分数阶导数来解释异常扩散和介质性质的依赖关系。数值研究表明,该模型能较好地拟合实验数据,氯离子在混凝土中的扩散具有时变和空变特性。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-19 DOI: 10.1080/17415977.2021.1914605
T. Boaca
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.
本文研究了与泥浆滤液侵入现象有关的两个识别问题。我们想在描述泥浆滤液侵入现象的抛物方程的系数中确定一个参数(侵入率)。在第一个问题中,我们从泥浆滤液分散的观测值开始确定该参数。我们将该问题简化为最优控制问题,并证明了最优控制的存在性。在第二个问题中,我们确定了泥浆滤液扩散到油藏中的最小条件下的侵入速率。我们还将辨识问题简化为最优控制问题。证明了最优控制的存在性,并得到了最优控制的简单显式形式。给出了第二个问题的数值算例。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-17 DOI: 10.1080/17415977.2021.1914603
Fan Yang, Qiao‐Xi Sun, Xiao-Xiao Li
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.
研究球对称区域上时间分数扩散波动方程初值的反演问题。利用分离变量法和Mittag-Leffler函数的性质,得到了该问题的精确解。这个问题是不适定的,即解决方案(如果存在)不依赖于可测量的数据。采用三种不同的landweber迭代法求解该问题。在先验和后验正则化参数选择规则下,得到了精确解与正则化解之间的误差估计。通过数值算例验证了这些正则化方法的有效性。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-11 DOI: 10.1080/17415977.2021.1904235
M. Subaşi, Faika Derya Şendur, Cavide Yaşar
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.
本文研究了二维双曲型问题的源函数的识别问题。直接问题的解是通过弱解方法和有限元方法得到的。在反问题部分,使用了非线性最小二乘优化方法——信赖域方法和Levenberg–Marquardt方法来识别源函数。文中给出了数值算例。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-09 DOI: 10.1080/17415977.2021.1912744
Jiangfeng Huang, Zhao-Peng Li, Bo Wang
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.
本文从贝叶斯统计的角度研究了一个时谐声波的反透射散射问题。在贝叶斯反演中,反演问题的解决方案是以观测数据为条件的未知参数的后验分布。散射体的形状将根据全孔径和有限孔径远场测量数据重建。我们首先在Hellinger度量的意义上证明了后验分布的适定性结果。然后,我们采用基于预处理Crank-Nicolson算法的马尔可夫链蒙特卡罗方法来提取后验分布信息。数值结果证明了该方法的有效性。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-09 DOI: 10.1080/17415977.2021.1910682
Italo M. Madeira, M. A. R. Lucumi, H. Orlande
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.
管道阀门意外关闭是导致天然气运输中断的最常见故障。本工作旨在通过粒子滤波方法解决状态估计问题来检测阀门关闭。采用加权平均通量-总变差递减法求解管道内的气体流动问题,并通过模拟测量管道不同位置的压力、速度和温度来估计状态变量。为了解决状态估计问题,本文实现了两种版本的粒子滤波方法,即采样重要性重采样(SIR)算法和辅助采样重要性重采样(ASIR)算法。两种算法对含一个或三个阀门的管道构型均获得了准确的估计。另一方面,在相同的解精度下,SIR算法比ASIR算法需要更多的粒子数。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-07 DOI: 10.1080/17415977.2021.1912036
L. Olson, R. Throne, Emily I. Rusnak, J. P. Gannon
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.
摘要在可预见的未来,癌症的早期检测将继续对提高患者生存率至关重要。我们的长期目标是使用乳房表面的测量数据,结合形式逆技术,自动化和改进手动乳房检查过程,以生成乳房组织内部硬度的三维图。在本文中,我们报告了使用力测量来创建刚度图的计算技术,并通过硅组织体模实验验证了计算技术。我们对无肿瘤体模样品进行了16次测试,对含肿瘤体模进行了16项测试。我们的刚度映射方法导致了一个假阳性,并正确识别了剩余的31/32个样本。
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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 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-04-03 DOI: 10.1080/17415977.2020.1797718
M. Elkattan, A. Kamel
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.
反问题在科学和工程的许多领域都很重要。电磁反演处理的是估计电磁测量中包含的信息。需要适当地设计反演方案来补偿溶液中的吉布斯振荡效应,从而更好地验证估计量。本文提出了一种基于模拟退火的反演方法,该方法能够利用散射电场提取垂直分层介质的电导率和介电常数信息。此外,本文还研究了Gibbs现象及其振荡对反演解的影响,并提出了一种有效的方法来提供更准确的估计。提出了实施该方法的结果,并与原方法进行了比较。
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引用次数: 2
期刊
Inverse Problems in Science and Engineering
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