Inverse problems

In this report, we examine the unsteady Stokes equations with nonhomogeneous boundary conditions. As an application of a Carleman estimate, we first establish log type stabilities for the solution of the equations from either an interior measurement of the velocity, or a boundary observation depending on the trace of the velocity and of the Cauchy stress tensor measurements on a part of the boundary.

16p vibecca 01-10-2024 3 2   Download

Research purposes: We consider some inverse source problems for parabolic equations, focus on three topics: First, we give stability estimates. Second, we propose regularization methods to solve these problems. Third, we set up algorithms and give numerical examples to illustrate the performance of the proposed regularization methods in this thesis.

26p prisonbreak123 21-05-2021 23 4   Download

In this paper, source is considered as a single equivalent dipole and genetic algorithm, an efficient and robust optimization method, is proposed to estimate parameters of source. Some improvements are introduced to enhance performance of conventional genetic algorithm.

12p larachdumlanat127 20-12-2020 14 1   Download

In this article we present a complete classification for the parametric surfaces of bidegree (1, 2) over the real field. We also provide some results for the inverse problem: given a segment of a line or twisted cubic curve, we look for a patch (1, 2) which includes this segment as a subset of its singular locus.

15p tamynhan8 04-11-2020 6 2   Download

Convolution inequalities and inverse problems play an important role in mathematical analysis. This paper studies inverse inequalities for the Fourier cosine convolution and the backward heat problem.

12p tamynhan8 04-11-2020 10 1   Download

In this paper, efforts are made to develop suitable methods that can serve as the basis to detect crack location and to crack size from measured axial vibration data. This method is used to address the inverse problem of assessing the crack location and crack size in various beam structure.

8p tohitohi 19-05-2020 13 0   Download

Research objectives: Using boundary integral observations or observations on a part of the boundary instead of point-wise observations are new approaches to setting the inverse problem and have physical and practical meanings.

27p change03 06-05-2016 47 6   Download

Digital Image Processing: Image Restoration Matrix Formulation - Duong Anh Duc provides about matrix Formulation of Image Restoration Problem; constrained least squares filtering (restoration); a brief review of matrix differentiation; Pseudo-inverse Filtering; Minimum Mean Square Error (Wiener) Filter; Parametric Wiener Filter.

66p cocacola_08 21-11-2015 49 3   Download

We show that the Dirichlet to Neumann map for the equation ∇·σ∇u = 0 in a two-dimensional domain uniquely determines the bounded measurable conductivity σ. This gives a positive answer to a question of A. P. Calder´n o from 1980. Earlier the result has been shown only for conductivities that are sufficiently smooth. In higher dimensions the problem remains open. Contents Introduction and outline of the method

36p noel_noel 17-01-2013 70 6   Download

Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

35p noel_noel 17-01-2013 43 6   Download

We prove that knowing the lengths of geodesics joining points of the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the Riemannian metric up to the natural obstruction. 1. Introduction and statement of the results Let (M, g) be a compact Riemannian manifold with boundary ∂M . Let dg (x, y) denote the geodesic distance between x and y. The inverse problem we address in this paper is whether we can determine the Riemannian metric g knowing dg (x, y) for any x ∈ ∂M , y ∈ ∂M . ...

19p noel_noel 17-01-2013 41 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLET BOUNDARY VALUE PROBLEM WITH AN INVERSE SQUARE POTENTIAL

7p dauphong18 09-03-2012 37 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Review on solving the inverse problem in EEG source analysis

33p panasonic08 05-01-2012 45 8   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành y học dành cho các bạn tham khảo đề tài: Review on solving the inverse problem in EEG source analysis

33p panasonic01 13-12-2011 44 9   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: The inverse problem associated to the Davenport constant for C2 ⊕ C2 ⊕ C2n, and applications to the arithmetical characterization of class groups...

42p thulanh7 04-10-2011 52 4   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: The inverse Erd˝s-Heilbronn problem o...

8p thulanh8 19-09-2011 49 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Nhà điều hành với chức năng phân tích quang phổ nhỏ gọn. III. Trường hợp không gian Hilbert: ngược vấn đề và các ứng dụng...

32p matuot_266 27-08-2011 44 7   Download

is symmetric. However, since the weights wj are not equal for most quadrature rules, the matrix K (equation 18.1.5) is not symmetric. The matrix eigenvalue problem is much easier for symmetric matrices, and so we should restore the symmetry if possible.

4p babyuni 17-08-2010 68 5   Download

special quadrature rules, but they are also sometimes blessings in disguise, since they can spoil a kernel’s smoothing and make problems well-conditioned. In §§18.4–18.7 we face up to the issues of inverse problems.

4p babyuni 17-08-2010 57 7   Download