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Johan Helsing & B. Tomas Johansson. (2011) Fast reconstruction of harmonic functions from Cauchy data using the Dirichlet-to-Neumann map and integral equations. Inverse Problems in Science and Engineering 19:5, pages 717-727.
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Johan Helsing & B. Tomas Johansson. (2010) Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques. Inverse Problems in Science and Engineering 18:3, pages 381-399.
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Mihai Bucataru & Liviu Marin. (2023) Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. Numerical Algorithms.
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Karzan Berdawood, Abdeljalil Nachaoui, Rostam Saeed, Mourad Nachaoui & Fatima Aboud. (2022) An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation. Discrete & Continuous Dynamical Systems - S 15:1, pages 57.
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Abdellatif Ellabib, Abdeljalil Nachaoui & Abdessamad Ousaadane. (2021) Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity. Mathematics and Computers in Simulation 187, pages 231-247.
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Chein-Shan Liu & Fajie Wang. (2018) A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Computers & Mathematics with Applications 76:8, pages 1837-1852.
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George Baravdish, Ihor Borachok, Roman Chapko, B. Tomas Johansson & Marián Slodička. (2018) An iterative method for the Cauchy problem for second-order elliptic equations. International Journal of Mechanical Sciences 142-143, pages 216-223.
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Chakir Tajani, Houda Kajtih & Ali Daanoun. (2017) Iterative Method to Solve a Data Completion Problem for Biharmonic Equation for Rectangular Domain. Annals of West University of Timisoara - Mathematics and Computer Science 55:1, pages 129-147.
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Chein-Shan Liu. (2016) A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems. Engineering Analysis with Boundary Elements 62, pages 177-185.
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Lili Chang, Wei Gong, Guiquan Sun & Ningning Yan. (2015) PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem. Inverse Problems and Imaging 9:3, pages 791-814.
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Chein-Shan Liu. (2015) A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domain. Applied Mathematical Modelling 39:13, pages 3862-3875.
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Chein-Shan Liu & Satya N. Atluri. (2013) Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method. Engineering Analysis with Boundary Elements 37:1, pages 74-83.
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Chein-Shan Liu & Chih-Wen Chang. (2012) A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains. Engineering Analysis with Boundary Elements 36:2, pages 211-219.
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C.-S. Liu. (2011) An Analytical Method for the Inverse Cauchy Problem of Laplace Equation in a Rectangular Plate. Journal of Mechanics 27:4, pages 575-584.
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Liviu Marin & B. Tomas Johansson. (2010) A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity. Computer Methods in Applied Mechanics and Engineering 199:49-52, pages 3179-3196.
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A. Ellabib & A. Nachaoui. (2008) An iterative approach to the solution of an inverse problem in linear elasticity. Mathematics and Computers in Simulation 77:2-3, pages 189-201.
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Weimin Han, Jianguo Huang, Kamran Kazmi & Yu Chen. (2007) A numerical method for a Cauchy problem for elliptic partial differential equations. Inverse Problems 23:6, pages 2401-2415.
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Mejdi Azaïez, Faker Ben Belgacem & Henda El Fekih. (2006) On Cauchy's problem: II. Completion, regularization and approximation. Inverse Problems 22:4, pages 1307-1336.
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A Chakib & A Nachaoui. (2006) Convergence analysis for finite element approximation to an inverse Cauchy problem. Inverse Problems 22:4, pages 1191-1206.
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M. Essaouini, A. Nachaoui & S. El Hajji. (2004) Reconstruction of boundary data for a class of nonlinear inverse problems. Journal of Inverse and Ill-posed Problems 12:4, pages 369-385.
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M. Essaouini, A. Nachaoui & S. El Hajji. (2004) Numerical method for solving a class of nonlinear elliptic inverse problems. Journal of Computational and Applied Mathematics 162:1, pages 165-181.
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Abdeljalil Nachaoui. (2004) Numerical linear algebra for reconstruction inverse problems. Journal of Computational and Applied Mathematics 162:1, pages 147-164.
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