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On a Hybrid method for shape reconstruction of a buried object in an elastostatic half plane
1.  Faculty of Applied Mathematics and Computer Science, Ivan Franko National University of Lviv, 79000 Lviv 
[1] 
Noui Djaidja, Mostefa Nadir. Comparison between Taylor and perturbed method for Volterra integral equation of the first kind. Numerical Algebra, Control and Optimization, 2021, 11 (4) : 487493. doi: 10.3934/naco.2020039 
[2] 
Zhousheng Ruan, Sen Zhang, Sican Xiong. Solving an inverse source problem for a time fractional diffusion equation by a modified quasiboundary value method. Evolution Equations and Control Theory, 2018, 7 (4) : 669682. doi: 10.3934/eect.2018032 
[3] 
YuFeng Sun, Zheng Zeng, Jie Song. Quasilinear iterative method for the boundary value problem of nonlinear fractional differential equation. Numerical Algebra, Control and Optimization, 2020, 10 (2) : 157164. doi: 10.3934/naco.2019045 
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Gen Nakamura, Michiyuki Watanabe. An inverse boundary value problem for a nonlinear wave equation. Inverse Problems and Imaging, 2008, 2 (1) : 121131. doi: 10.3934/ipi.2008.2.121 
[5] 
Bastian Gebauer, Nuutti Hyvönen. Factorization method and inclusions of mixed type in an inverse elliptic boundary value problem. Inverse Problems and Imaging, 2008, 2 (3) : 355372. doi: 10.3934/ipi.2008.2.355 
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Thorsten Hohage, Mihaela Pricop. Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Inverse Problems and Imaging, 2008, 2 (2) : 271290. doi: 10.3934/ipi.2008.2.271 
[7] 
Panagiotis Stinis. A hybrid method for the inviscid Burgers equation. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 793799. doi: 10.3934/dcds.2003.9.793 
[8] 
Roman Chapko, B. Tomas Johansson. An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semiinfinite regions. Inverse Problems and Imaging, 2008, 2 (3) : 317333. doi: 10.3934/ipi.2008.2.317 
[9] 
Yun Chen, Jiasheng Huang, Si Li, Yao Lu, Yuesheng Xu. A contentadaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction. Inverse Problems and Imaging, 2020, 14 (1) : 2752. doi: 10.3934/ipi.2019062 
[10] 
Vladimir V. Varlamov. On the initial boundary value problem for the damped Boussinesq equation. Discrete and Continuous Dynamical Systems, 1998, 4 (3) : 431444. doi: 10.3934/dcds.1998.4.431 
[11] 
Yones Esmaeelzade Aghdam, Hamid Safdari, Yaqub Azari, Hossein Jafari, Dumitru Baleanu. Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. Discrete and Continuous Dynamical Systems  S, 2021, 14 (7) : 20252039. doi: 10.3934/dcdss.2020402 
[12] 
Masaru Ikehata, Mishio Kawashita. An inverse problem for a threedimensional heat equation in thermal imaging and the enclosure method. Inverse Problems and Imaging, 2014, 8 (4) : 10731116. doi: 10.3934/ipi.2014.8.1073 
[13] 
Lekbir Afraites. A new coupled complex boundary method (CCBM) for an inverse obstacle problem. Discrete and Continuous Dynamical Systems  S, 2022, 15 (1) : 2340. doi: 10.3934/dcdss.2021069 
[14] 
Beatrice Bugert, Gunther Schmidt. Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures. Discrete and Continuous Dynamical Systems  S, 2015, 8 (3) : 435473. doi: 10.3934/dcdss.2015.8.435 
[15] 
Olusola Kolebaje, Ebenezer Bonyah, Lateef Mustapha. The first integral method for two fractional nonlinear biological models. Discrete and Continuous Dynamical Systems  S, 2019, 12 (3) : 487502. doi: 10.3934/dcdss.2019032 
[16] 
Armin Lechleiter, Tobias Rienmüller. Factorization method for the inverse Stokes problem. Inverse Problems and Imaging, 2013, 7 (4) : 12711293. doi: 10.3934/ipi.2013.7.1271 
[17] 
Alexander Arguchintsev, Vasilisa Poplevko. An optimal control problem by parabolic equation with boundary smooth control and an integral constraint. Numerical Algebra, Control and Optimization, 2018, 8 (2) : 193202. doi: 10.3934/naco.2018011 
[18] 
Jussi Korpela, Matti Lassas, Lauri Oksanen. Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Inverse Problems and Imaging, 2019, 13 (3) : 575596. doi: 10.3934/ipi.2019027 
[19] 
Changming Song, Hong Li, Jina Li. Initial boundary value problem for the singularly perturbed Boussinesqtype equation. Conference Publications, 2013, 2013 (special) : 709717. doi: 10.3934/proc.2013.2013.709 
[20] 
Jun Zhou. Initial boundary value problem for a inhomogeneous pseudoparabolic equation. Electronic Research Archive, 2020, 28 (1) : 6790. doi: 10.3934/era.2020005 
2020 Impact Factor: 1.639
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