3 edition of **A Boundary integral method for an inverse problem in thermal imaging** found in the catalog.

A Boundary integral method for an inverse problem in thermal imaging

Kurt Bryan

- 189 Want to read
- 7 Currently reading

Published
**1992** by ICASE, National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va.? .

Written in English

- Heat -- Conduction.,
- Inverse problems (Differential equations)

**Edition Notes**

Statement | Kurt Bryan. |

Series | ICASE report -- no. 92-38., NASA contractor report -- 189693., NASA contractor report -- NASA CR-189693. |

Contributions | Langley Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15365111M |

or a Newton cooling condition. The problem is analysed using similarity solutions, integral momentum and energy equations and an approximation technique which is a form of the Heat Balance Integral Method. The ﬂuid properties are assumed to be independent of temperature, hence the momentum equa-tion uncouples from the thermal by: This paper investigates the inverse problem of finding a time-dependent coefficient in a heat equation with nonlocal boundary and integral overdetermination conditions. Under some regularity and consistency conditions on the input data, the existence, uniqueness and continuous dependence upon the data of the solution are shown by using the generalized Fourier by: The linear sampling method in inverse obstacle scattering for impedance boundary conditions The linear sampling method in inverse obstacle scattering for impedance boundary conditions Grinberg, N.; Kirsch, A. In this paper we study the inverse scattering problem to determine the shape of a scatterer from either far field data for .

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Get this from a library. A Boundary integral method for an inverse problem in thermal imaging. [Kurt Bryan; Langley Research Center.]. This lecture covers the following topics: 1. Derivation of energy integral equation 2. Determination of thermal boundary layer thickness for Pr much less than 1 3.

Determination of Nusselt number. “A boundary integral method for an inverse problem in thermal imaging,” ICASE reportsubmitted to the Journal of Mathematical Systems, Estimation and Control.

Google Scholar [6]Cited by: It is based on a system of nonlinear boundary integral equations associated with a single-layer potential approach to solve the forward scattering problem which extends the integral equation method proposed by Cakoni and Kress (Inverse Prob.

29(1), ) for a related boundary value problem for the Laplace by: 1. This study deals with the numerical implementation of a formula in the enclosure method as applied to a prototype inverse initial boundary value problem for. A Boundary integral method for an inverse problem in thermal imaging book Element Method for Impedance and Optical Tomography.

The forward problem is a part of the inverse task. A boundary integral formulation is used for the Author: Jan Sikora. Advanced Heat and Mass Transfer by Amir Faghri, Yuwen Zhang, and John R.

Howell Integral Method 2 In integral methods, one usually integrates the conservative differential boundary layer equation over the boundary layer thickness by assuming a profile for velocity, temperature and concentration, as needed. This chapter introduces the boundary element method through solving a relatively simple boundary value problem governed by the two-dimensional Laplace's equation.

A derivation of the boundary integral equation needed for solving the boundary value problem is given. The boundary element method (BEM) is a numerical method essentially based on the integral formulation of the problem under consideration, see e.g. Brebbia et al., and it is now a well established technique in computational electromagnetics and particularly in magnetostatics, see e.g.

Adriaens et al., Nicolet et al., and Nicolet. In this Cited by: 7. This paper examines uniqueness and stability results for an inverse problem in thermal imaging.

Thegoal is to identify anunknownboundaryofanobject byapplying aheat flux and measuringthe induced temperature onthe boundaryofthe sample. Theproblem is studied in both the case in which one has data at every point on the boundary ofthe region and the. Boundary Element Methods in Applied Mechanics It is shown that the near tip behavior of the solution is derived from the boundary integral equation itself.

The method is applied to the analysis of fracture process zone problems. The inverse problem under consideration is defined such that the shape of an internal flaw or defect in a. () A boundary integral method for solving inverse heat conduction problem. Journal of Inverse and Ill-posed Problems() Approximate solution of a Cauchy problem for the Helmholtz by: Numerical solution of an inverse problem in magnetic resonance imaging using a regularized higher-order boundary element method L.

Marin1,1,l2, C. Cobos Sanchez2, A. Becker1,2 & I. Jones1 1Schoolof Mechanical, Materials and ManufacturingEngineering, The University of Nottingham, Nottingham, UK.

In this paper, we give an effective numerical method for the heat conduction problem connected with the Laplace equation. Through the use of a single-layer potential approach to the solution, we get the boundary integral equation about the density function.

In order to deal with the weakly singular kernel of the integral equation, we give the projection method to deal with this part, i.e Author: Yao Sun, Xiaoliang Wei, Zibo Zhuang, Tian Luan.

The thermal quadrupole method allows this often painful iterative procedure to be removed by allowing only one calculation. A Boundary integral method for an inverse problem in thermal imaging book chapters in this book increase in complexity from a rapid presentation of the method for one dimensional transient problems in chapter one, to non uniform boundary conditions or inhomogeneous media in chapter : Denis Maillet.

The linearized inverse scattering problem is formulated in terms of an integral equation in a form which covers wave propagation in fluids with constant and variable densities and in elastic solids.

This integral equation is connected with the causal generalized Radon transform (GRT), and an asymptotic expansion of the solution of the integral Cited by: into inverse boundary spectral problems and xed frequency inverse problems.

Fixed frequency inverse problems use boundary measure-ments at a nite number of frequencies. Moreover, the vast majority ofresults forthese problemsare obtainedwhenthe frequencyisequal to 0, i.e., for the static case. These problems go back to the famous.

Hazanee, A. and Lesnic, D. () The boundary element method for solving an inverse time-dependent source problem,Proceedings of the 9th UK Conference on Boundary Integral Methods, (ed. Menshykov), UniPrint, University of Aberdeen, pp– iii.

For the two dimensional inverse electrical impedance problem in the case of piecewise constant conductivities with the currents injected at adjacent point electrodes and the resulting voltages measured between the remaining electrodes, in [3] the authors proposed a nonlinear integral equation approach that extends a method that has been suggested by Kress and Rundell [10] Cited by: 6.

() The mollification method and the numerical solution of the inverse heat conduction problem by finite differences. Computers & Mathematics with Applications() Stability estimates and regularization for an inverse heat conduction prolem in semi - infinite and finite time by: The research goal is to create an entirely new class of imaging devices and a novel theoretical framework for inverse problems in space-time analysis of light transport.

Two novel forms of imaging show great potential for research and practical applications: (i) time resolved transient imaging that exploits multi-path analysis and (ii) angle resolved imaging without lenses for. Intro to Inverse Problems p Singularity and ill-posedness Under the finite-dimensional object assumption, the linear inverse problem is converted from an integral equation to a matrix equation ()() y x y y x x h y x f y x g d d, − ′ − ′ = ′ ′ ∫ ⇔ f g H = • If the matrix H File Size: KB.

ELECTRICAL CONDUCTIVITY IMAGING VIA BOUNDARY VALUE PROBLEMS FOR THE 1-LAPLACIAN by JOHANN VERAS B.S. University of Central Florida, M.S. University of Central Florida, A dissertation submitted in partial fulﬁlment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics in the College of SciencesCited by: 2.

This paper considers an inverse problem for a reaction diffusion equation from overposed final time data. Specifically, we assume that the reaction term is known but modified by a space-dependent coefficient to obtain. Thus the strength of the reaction can vary with location. The inverse problem is to recover this by: 6.

From the definition of the semigroup T (t), we can say that the null space of it consists of only zero function, i.e., N (T) = {0}.This result is very important for the uniqueness of the unknown boundary condition u (1, t).

The unique solution of the initial-boundary value problem (7) in terms of the semigroup T (t) can be represented in the following form:Cited by: 3. inverse problem for a sound-soft or perfectly conducting scatterer. It is based on a system of nonlinear boundary integral equations associated with a single-layer po-tential approach to solve the forward scattering problem which extends the integral equation method proposed by Cakoni and Kress [5] for a related boundary value.

Introduction: In this study, we intend to use diffuse optical Tomography (DOT) as a noninvasive, safe and low cost technique that can be considered as a functional imaging method and mention the importance of image reconstruction in accuracy and procession of image.

One of the most important and fastest methods in image reconstruction is the boundary element method (BEM).Author: Mohammad Ali Ansari, Mohsen Erfanzadeh, Zeinab Hosseini, Ezzedin Mohajerani.

On characterization of inverse data in the boundary control method Mikhail I. Belishev and Aleksei F. Vakulenko Dedicated to the th jubilee of Giovanni Alessandrini Abstract.

We deal with a dynamical system u tt −∆u+qu=0 inΩ×(0,T) u t=0 = u t t=0 =0 inΩ ∂ νu = f in ∂Ω×[0,T], where Ω ⊂ Rn is a bounded Cited by: 1. The thermal boundary conductance (TBC) of materials pairs in atomically intimate contact is reviewed as a practical guide for materials scientists.

First, analytical and computational models of TBC are reviewed. Five measurement methods are then compared in terms of their sensitivity to TBC: the 3 method, frequency- and time-domain thermoreflectance, the cut-bar method, and a Cited by: Inverse scattering.

Even though maximal (5-dimensional) surface data seem to define an overdetermined inverse problem, this is, in fact, not the case in the presence of caustics. In reality, this inverse problem is further complicated by the availability of data (for example, linear arrays) often constituting a lower-dimensional set.

unknown temperature gradient, thermal stresses and deflection when the boundary conditions are known. Integral transform techniques are used to obtain the solution of the problem. 0 KEY WORDS: Thin rectangular plate, transient problem, inverse thermo elastic problem, deflection.

INTRODUCTION. We consider the problem of reconstruction of an unknown characteristic transient thermal source inside a domain. By introducing the definition of an extended dirichlet-to-Neumann map in the time-space cylinder and the adoption of the anisotropic Sobolev-Hilbert spaces, we can treat the problem with methods similar to those used in the analysis of the stationary source Cited by: 5.

The ML method in the case of Poisson noise Bayesian methods The Wiener filter PART 2 Linear inverse imaging problems Examples of linear inverse problems Space-variant imaging systems X-ray tomography Emission tomography Inverse diffraction and inverse source problems A boundary integral equation method in the frequency domain for cracks under transient loading Received: 3 December / Revised: 3 March / Published online: 28 January reduce the mixed boundary value problem to a set of dual integral equations.

The stress intensity factors were computed by applying an inverse Fourier. Inverse analysis is nowadays a common practice in which teams involved with experiments and numerical simulation synergistically collaborate throughout the research work, in order to obtain the maximum of information regarding the physical problem under by: boundary of the solution domain.

We employ a Landweber type method proposed in [2], where a sequence of mixed well-posed problems are solved at each iteration step to obtain a stable approximation to the original Cauchy problem.

We develop an eﬃcient boundary integral equation method for the numerical solution of theseCited by: 4. Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems.

Covering a range of subjects from new developments on the applie. Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse : Hardcover.

UNDERSTANDING THE IMPACT OF BOUNDARY AND INITIAL CONDITION ERRORS ON THE SOLUTION TO A THERMAL DIFFUSIVITY INVERSE PROBLEM 1,HAL2 1 DepartmentofMathematics,ClarksonUniversity,[email protected];2 DepartmentofMath-ematics,ClarksonUniversity,[email protected] ABSTRACT.

A major problem of ﬂuid dynamics is that the equations of moti on are non-linear. This implies that an exact general solution of these equations is not available. Acoustics is a ﬁrst order approximation in which non-linear effects are neglected.

In classical acoustics the generation of sound is considered to be a boundary condition problem. B. Inverse Problem. The inverse problem involves determination of the surface heat flux q(t) from the measured values of the temperature at x = L.

The first step in the inverse problem is to express the problem in state space form by spatially discretising the governing differential equation as shown in Fig.

1(b). The discretised equations, after.The mentioned boundary-initial problem was solved by a modified Green’s method, adapted to the layered structure of the system. For this purpose, Green’s functions, as the kernels of integral operators inverse to differential ones, were determined.

Aluminum resistivity and heat transfer coefficient change significantly with : Jerzy Gołębiowski, Marek Zaręba.An inverse method for determin-ing small variations in propagation speed, SIAM J. Appl.

Math. 32,pp. Rakesh: A linearized inverse problem for the wave equation, Comm.pp. Beylkin, G.: Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform.