Search Results - Numerical methods for inverse problems for integral equations

Integral equations method for solving a Biharmonic inverse problem in detection of Robin coefficients by Hadj, Abdelhak, Saker, Hacene

“…In this paper, we are interested in an inverse problem for the biharmonic equation to recover the Robin coefficients on a non-accessible part of the boundary in simply connected planar domain…”
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Inverse Problem for the Integral Dynamic Models with Discontinuous Kernels by Tynda, Aleksandr N., Sidorov, Denis N.

“…The objective of this paper was to present a new inverse problem statement and numerical method for the Volterra integral equations with piecewise continuous kernels…”
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On an Approximate Method for Solving the Inverse Problem of Heat Transfer by Boykov, I. V., Ryazantsev, V. A.

“… The numerical method for solving the inverse problem of heat transfer uses the apparatus of hypersingular integral equations…”
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The numerical solution of forward and inverse Robin problems for Laplace’s equation by Qu, Dan, Ma, Yan-Bo

“…). We present a numerical solution of the forward problem that uses a boundary integral equation method, and we propose a fast solver based on one that reduces the computational complexity to O ( N log ( N…”
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Numerical solution of the variation boundary integral equation for inverse problems by Gallego, Rafael, Suárez, Javier

“… This equation is a linearization of the regular BIE for small changes in the geometry. The aim in the identification inverse problems is to find an unknown part…”
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Inverse Problem of Finding the Coefficient of the Lowest Term in Two-Dimensional Heat Equation with Ionkin-Type Boundary Condition by Ismailov, M. I., Erkovan, S.

“… The global well-posedness of the problem is obtained by generalized Fourier method combined with the unique solvability of the second kind Volterra integral equation…”
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On an approximate method for solving the inverse problem of heat transfer by Boykov, Il'ya, Ryazantsev, Vladimir

“… Materials and methods. In this research we use the framework of hypersingular integral equations to develop a numerical method for solution of inverse problem of heat conduction. To the authors…”
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Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements by Zaytsev, B. A., Medvedik, M. Yu

“… In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation…”
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Two-dimensional inverse heat conduction problem in a quarter plane: integral approach by Bel Hadj Hassin, Anis, Chorfi, Lahcène

“… The numerical solution of the direct problem is computed by a boundary integral equation method…”
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The Krein method and the globally convergent method for experimental data by Karchevsky, Andrey L., Klibanov, Michael V., Nguyen, Lam, Pantong, Natee, Sullivan, Anders

“…Comparison of numerical performances of two methods for coefficient inverse problems is described…”
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An inverse acoustic-elastic interaction problem with phased or phaseless far-field data by Dong, Heping, Lai, Jun, Li, Peijun

“… This paper concerns an inverse acoustic-elastic interaction problem, which is to determine the location and shape of the elastic obstacle by using either the phased or phaseless far-field data…”
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Numerical solution of an inverse conductive boundary value problem by Yaman, F.

“… A potential approach is used to obtain boundary layer integral equations both for the solution of the direct and the inverse problem…”
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A Vertex Function--Based Radial--Angular Quadrature for the Numerical Evaluation of Surface Test Integrals in the Method of Moments by Rivero, Javier, Martin, Victor F., Wilton, Donald R., Johnson, William A., Vipiana, Francesca

“…) integrals needed for solving complex direct or inverse electromagnetic problems using surface integral equation (SIE…”
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Advances in inverse problems for partial differential equations : AMS Special Session Recent Developments on Analysis and Computation for Inverse Problems for PDEs, March 13-14, 2021, virtual, AMS Special Session Recent Advances in Inverse Problems for PDEs, October 23-23 [i.e. 24], 2021, virtual by Nguyen, Dinh-Liem, Nguyen, Loc Hoang, Nguyen, Thi-Phong, AMS Special Session on Recent Developments on Analysis and Computation for Inverse Problems for PDEs, AMS Special Session on Recent Advances in Inverse Problems for PDEs

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Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis: Proceedings of the International Conference, Samarkand, Uzbekistan by Lavrent'ev, Mikhail M, Kabanikhin, Sergey I, Begmatov, Akbar H, Dzhuraev, Tukhtamurad D, Saitoh, Saburou, Yamamoto, Masahiro, Abdinazarov, S, Amonov, B. K, Ashurova, Z. R, Begmatov, Akram H, Cavus, Abdullah, Hamarik, Uno, Hashimov, A. R, Iskakov, Kazizat T, Khadjiev, Djavvat, Khaidarov, Akram, Kholboev, Bakhodir M, Kobilov, S. S, Ochilov, Zarif H, Rajabov, Nusrat, Shodiev, D, Tautenhahn, Ulrich, Yarmukhamedov, I, Yarmukhamedov, Sharov, Zhuraev, Yunusali Y

“… * boundary value problems for equations of mixed type * integral geometry * mathematical modelling and numerical methods in natural sciences…”
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Differential Equations and Inverse Problems

“… “Differential Equations and Inverse Problems” in MDPI’s Axioms journal. The articles cover a wide range of topics with respect to the theory and applications of differential equations and inverse problems…”
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On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region by Chapko, Roman

“…). The numerical solution of the direct problem is realized by a boundary integral equation method…”
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Numerical recovery of Robin boundary from boundary measurements for the Laplace equation by Fang, Weifu, Zeng, Suxing

“…Based on an integral equation formulation, we present numerical methods for the inverse problem of recovering part of the domain boundary from boundary measurements of solutions to the Laplace…”
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Inverse obstacle scattering for elastic waves in the time domain by Zhao, Lu, Dong, Heping, Ma, Fuming

“… Based on the convolution quadrature method for time discretization, the coupled boundary integral equations are reformulated…”
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A Numerical Method for a System of Integral Equations Determining the Boundaries of Local Nonhomogeneities by Golovina, S. G., Zakharov, E. V.

“…The article considers a numerical method for the inverse problem of determining the boundaries of nonhomogeneities from probe data…”
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