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A New Variational Approach for Inverse Source Problems 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 331-347
Authors:  Hu, Qiya;  Shu, Shi;  Zou, Jun
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Variational approach  inverse source problem  stability  convergence  
A Mixed Regularization Method for Ill-Posed Problems 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 1, 页码: 212-232
Authors:  Zheng, Hui;  Zhang, Wensheng
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Ill-posedness  continuous regularization  iterative regularization  mixed regularization  optimal order  
Inverse random source scattering for the Helmholtz equation in inhomogeneous media 期刊论文
INVERSE PROBLEMS, 2018, 卷号: 34, 期号: 1, 页码: 19
Authors:  Li, Ming;  Chen, Chuchu;  Li, Peijun
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inverse source scattering problem  the Helmholtz equation  stochastic partial differential equation  
Modulus-based iterative methods for constrained Tikhonov regularization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 1-13
Authors:  Bai, Zhong-Zhi;  Buccini, Alessandro;  Hayami, Ken;  Reichel, Lothar;  Yin, Jun-Feng;  Zheng, Ning
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Discrete ill-posed problem  Regularization method  Constrained minimization  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
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Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Reciprocity gap method for an interior inverse scattering problem 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2017, 卷号: 25, 期号: 1, 页码: 57-68
Authors:  Zeng, Fang;  Liu, Xiaodong;  Sun, Jiguang;  Xu, Liwei
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Interior inverse scattering  inhomogeneous medium  Dirichlet eigenvalue  reciprocity gap method  
INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 2616-2643
Authors:  Bao, Gang;  Chen, Chuchu;  Li, Peijun
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inverse source scattering problem  elastic wave equation  stochastic partial differential equation  Fredholm integral equation  
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 卷号: 23, 期号: 4, 页码: 339-353
Authors:  Feng, Pengbin;  Karimov, Erkinjon T.
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Inverse source problem  Caputo fractional derivative  mixed-type equation  orthonormal system of eigenfunctions  
PDE-CONSTRAINED OPTIMAL CONTROL APPROACH FOR THE APPROXIMATION OF AN INVERSE CAUCHY PROBLEM 期刊论文
INVERSE PROBLEMS AND IMAGING, 2015, 卷号: 9, 期号: 3, 页码: 791-814
Authors:  Chang, Lili;  Gong, Wei;  Sun, Guiquan;  Yan, Ningning
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Elliptic equation  Cauchy problem  Tikhonov regularization  PDE-constrained optimal control  finite element method  
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 19, 页码: 6979-6994
Authors:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
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Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning