Yao, Qingyun; Wang, Haibing A numerical scheme for the time-fractional diffusion equation by layer potentials. (English) Zbl 07516835 J. Comput. Phys. 448, Article ID 110763, 20 p. (2022). MSC: 65Mxx 35Rxx 35Kxx PDF BibTeX XML Cite \textit{Q. Yao} and \textit{H. Wang}, J. Comput. Phys. 448, Article ID 110763, 20 p. (2022; Zbl 07516835) Full Text: DOI OpenURL
Apraiz, Jone; Cheng, Jin; Doubova, Anna; Fernández-Cara, Enrique; Yamamoto, Masahiro Uniqueness and numerical reconstruction for inverse problems dealing with interval size search. (English) Zbl 1487.35435 Inverse Probl. Imaging 16, No. 3, 569-594 (2022). MSC: 35R30 35K05 35K20 35L05 35L20 65M32 PDF BibTeX XML Cite \textit{J. Apraiz} et al., Inverse Probl. Imaging 16, No. 3, 569--594 (2022; Zbl 1487.35435) Full Text: DOI arXiv OpenURL
Wang, Yuchan; Chen, Qun; Liu, Jijun On the cavity detection in a heat conductive medium from time-average boundary temperature measurement. (English) Zbl 1473.35663 J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022). MSC: 35R30 35K05 35K20 47A52 41A60 65M32 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022; Zbl 1473.35663) Full Text: DOI OpenURL
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes On the numerical solution of a time-dependent shape optimization problem for the heat equation. (English) Zbl 1461.49051 SIAM J. Control Optim. 59, No. 2, 931-953 (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49Q10 49N45 35K05 65K10 PDF BibTeX XML Cite \textit{R. Brügger} et al., SIAM J. Control Optim. 59, No. 2, 931--953 (2021; Zbl 1461.49051) Full Text: DOI arXiv OpenURL
Kawakami, Hajime Stabilities of shape identification inverse problems in a Bayesian framework. (English) Zbl 1443.62064 J. Math. Anal. Appl. 486, No. 2, Article ID 123903, 14 p. (2020); addendum ibid. 490, No. 1, Article ID 124210, 5 p. (2020). MSC: 62F15 62H35 62P35 35K05 PDF BibTeX XML Cite \textit{H. Kawakami}, J. Math. Anal. Appl. 486, No. 2, Article ID 123903, 14 p. (2020; Zbl 1443.62064) Full Text: DOI arXiv OpenURL
Chapko, Roman; Mindrinos, Leonidas On the non-linear integral equation approach for an inverse boundary value problem for the heat equation. (English) Zbl 1436.65133 J. Eng. Math. 119, 255-268 (2019). MSC: 65M32 65M30 33C45 44A12 35K05 65R20 65H10 65D30 65F22 35R30 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{L. Mindrinos}, J. Eng. Math. 119, 255--268 (2019; Zbl 1436.65133) Full Text: DOI arXiv OpenURL
Etling, Tommy; Herzog, Roland; Siebenborn, Martin Optimum experimental design for interface identification problems. (English) Zbl 1433.62211 SIAM J. Sci. Comput. 41, No. 6, A3498-A3523 (2019). Reviewer: Fabio Rapallo (Alessandria) MSC: 62K05 35K20 60J60 PDF BibTeX XML Cite \textit{T. Etling} et al., SIAM J. Sci. Comput. 41, No. 6, A3498--A3523 (2019; Zbl 1433.62211) Full Text: DOI arXiv OpenURL
Wang, Haibing; Li, Yi Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions. (English) Zbl 1395.65060 J. Comput. Phys. 369, 1-15 (2018). MSC: 65M32 35K05 35R30 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Li}, J. Comput. Phys. 369, 1--15 (2018; Zbl 1395.65060) Full Text: DOI OpenURL
Wang, Yuchan; Liu, Jijun On the simultaneous recovery of boundary heat transfer coefficient and initial heat status. (English) Zbl 1375.35239 J. Inverse Ill-Posed Probl. 25, No. 5, 597-616 (2017). MSC: 35K20 35K05 35Q79 35R25 35R30 65M32 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Liu}, J. Inverse Ill-Posed Probl. 25, No. 5, 597--616 (2017; Zbl 1375.35239) Full Text: DOI OpenURL
Yan, Wenjing; Jing, Feifei; Hou, Jiangyong Shape inverse problem of thermodynamic equations based on domain derivative method. (English) Zbl 1372.49053 Math. Methods Appl. Sci. 40, No. 13, 4937-4947 (2017). MSC: 49Q10 35Q79 49J35 49N45 PDF BibTeX XML Cite \textit{W. Yan} et al., Math. Methods Appl. Sci. 40, No. 13, 4937--4947 (2017; Zbl 1372.49053) Full Text: DOI OpenURL
Ikehata, Masaru; Kwon, Kiwoon Trusted frequency region of convergence for the enclosure method in thermal imaging. (English) Zbl 1355.65125 J. Inverse Ill-Posed Probl. 25, No. 1, 81-97 (2017). MSC: 65M32 80A23 PDF BibTeX XML Cite \textit{M. Ikehata} and \textit{K. Kwon}, J. Inverse Ill-Posed Probl. 25, No. 1, 81--97 (2017; Zbl 1355.65125) Full Text: DOI arXiv OpenURL
Nakamura, Gen; Wang, Haibing Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor. (English) Zbl 1330.35541 Inverse Probl. 31, No. 12, Article ID 125001, 31 p. (2015). MSC: 35R30 35K05 35B40 PDF BibTeX XML Cite \textit{G. Nakamura} and \textit{H. Wang}, Inverse Probl. 31, No. 12, Article ID 125001, 31 p. (2015; Zbl 1330.35541) Full Text: DOI arXiv OpenURL
Kawakami, Hajime Reconstruction algorithm for unknown cavities via Feynman-Kac type formula. (English) Zbl 1311.65122 Comput. Optim. Appl. 61, No. 1, 101-133 (2015). MSC: 65M32 65K05 65C05 90C10 PDF BibTeX XML Cite \textit{H. Kawakami}, Comput. Optim. Appl. 61, No. 1, 101--133 (2015; Zbl 1311.65122) Full Text: DOI OpenURL
Yan, Wenjing; Su, Jian; Jing, Feifei Shape reconstruction for unsteady advection-diffusion problems by domain derivative method. (English) Zbl 1474.65335 Abstr. Appl. Anal. 2014, Article ID 673108, 7 p. (2014). MSC: 65M32 PDF BibTeX XML Cite \textit{W. Yan} et al., Abstr. Appl. Anal. 2014, Article ID 673108, 7 p. (2014; Zbl 1474.65335) Full Text: DOI OpenURL
Golovina, S. G.; Razborov, A. G. Reconstruction of the discontinuity line of a piecewise-constant coefficient in the two-dimensional internal initial-boundary value problem for the homogeneous heat equation. (English. Russian original) Zbl 1327.80011 Comput. Math. Model. 25, No. 1, 49-56 (2014); translation from Prikl. Mat. Inf. 42, 54-61 (2013). MSC: 80A23 35K05 35R30 PDF BibTeX XML Cite \textit{S. G. Golovina} and \textit{A. G. Razborov}, Comput. Math. Model. 25, No. 1, 49--56 (2014; Zbl 1327.80011); translation from Prikl. Mat. Inf. 42, 54--61 (2013) Full Text: DOI OpenURL
Nittka, Robin Inhomogeneous parabolic Neumann problems. (English) Zbl 1349.35154 Czech. Math. J. 64, No. 3, 703-742 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35K20 35B15 35B65 35D30 PDF BibTeX XML Cite \textit{R. Nittka}, Czech. Math. J. 64, No. 3, 703--742 (2014; Zbl 1349.35154) Full Text: DOI arXiv Link OpenURL
Dawson, Michael; Borman, Duncan; Hammond, Robert B.; Lesnic, Daniel; Rhodes, Dominic A meshless method for solving a two-dimensional transient inverse geometric problem. (English) Zbl 1357.65157 Int. J. Numer. Methods Heat Fluid Flow 23, No. 5, 790-817 (2013). MSC: 65M32 65M80 PDF BibTeX XML Cite \textit{M. Dawson} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 5, 790--817 (2013; Zbl 1357.65157) Full Text: DOI OpenURL
Yan, Wenjing; He, Yaling; Ma, Yichen An iterative method for the shape reconstruction of the inverse Euler problem. (English) Zbl 1411.76075 Numer. Methods Partial Differ. Equations 28, No. 2, 587-596 (2012). MSC: 76M10 76B75 PDF BibTeX XML Cite \textit{W. Yan} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 587--596 (2012; Zbl 1411.76075) Full Text: DOI OpenURL
Yan, Wenjing; He, Yaling; Ma, Yichen A numerical method for the viscous incompressible Oseen flow in shape reconstruction. (English) Zbl 1236.76020 Appl. Math. Modelling 36, No. 1, 301-309 (2012). MSC: 76D07 65J22 PDF BibTeX XML Cite \textit{W. Yan} et al., Appl. Math. Modelling 36, No. 1, 301--309 (2012; Zbl 1236.76020) Full Text: DOI OpenURL
Wang, Linjun; Han, Xu; Wei, Zhouchao Application of the discrete regularization method to the inverse of the chord vibration equation. (English) Zbl 1387.74056 Int. J. Mod. Phys. B 24, No. 32, 6335-6343 (2010). MSC: 74H45 65F22 74S30 45B05 PDF BibTeX XML Cite \textit{L. Wang} et al., Int. J. Mod. Phys. B 24, No. 32, 6335--6343 (2010; Zbl 1387.74056) Full Text: DOI OpenURL
Hu, Xiaoyi; Chen, Wenbin Determination of unknown boundary in the composite materials with Stefan-Boltzmann conditions. (English) Zbl 1211.35277 Chin. Ann. Math., Ser. B 31, No. 2, 145-162 (2010). MSC: 35R30 35K20 35Q20 80A22 80A23 PDF BibTeX XML Cite \textit{X. Hu} and \textit{W. Chen}, Chin. Ann. Math., Ser. B 31, No. 2, 145--162 (2010; Zbl 1211.35277) Full Text: DOI OpenURL
Hu, Xiaoyi; Xu, Xiang; Chen, Wenbin Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions. (English) Zbl 1207.65115 Adv. Comput. Math. 33, No. 4, 471-489 (2010). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M32 PDF BibTeX XML Cite \textit{X. Hu} et al., Adv. Comput. Math. 33, No. 4, 471--489 (2010; Zbl 1207.65115) Full Text: DOI OpenURL
Yan, Wenjing; He, Yaling; Ma, Yichen Shape inverse problem for the two-dimensional unsteady Stokes flow. (English) Zbl 1218.76018 Numer. Methods Partial Differ. Equations 26, No. 3, 690-701 (2010). MSC: 76D07 76M25 65M32 PDF BibTeX XML Cite \textit{W. Yan} et al., Numer. Methods Partial Differ. Equations 26, No. 3, 690--701 (2010; Zbl 1218.76018) Full Text: DOI OpenURL
Yan, Wenjing; He, Yaling; Ma, Yichen Shape reconstruction of an inverse boundary value problem of two-dimensional Navier-Stokes equations. (English) Zbl 1423.76104 Int. J. Numer. Methods Fluids 62, No. 6, 632-646 (2010). MSC: 76D05 65M32 76M25 76D55 PDF BibTeX XML Cite \textit{W. Yan} et al., Int. J. Numer. Methods Fluids 62, No. 6, 632--646 (2010; Zbl 1423.76104) Full Text: DOI OpenURL
Wei, T.; Li, Y. S. An inverse boundary problem for one-dimensional heat equation with a multilayer domain. (English) Zbl 1244.80005 Eng. Anal. Bound. Elem. 33, No. 2, 225-232 (2009). MSC: 80A23 80A20 65M80 PDF BibTeX XML Cite \textit{T. Wei} and \textit{Y. S. Li}, Eng. Anal. Bound. Elem. 33, No. 2, 225--232 (2009; Zbl 1244.80005) Full Text: DOI OpenURL
Yan, Wenjing; Ma, Yichen The application of domain derivative of the nonhomogeneous Navier-Stokes equations in shape reconstruction. (English) Zbl 1242.76037 Comput. Fluids 38, No. 6, 1101-1107 (2009). MSC: 76D05 76M25 65N21 PDF BibTeX XML Cite \textit{W. Yan} and \textit{Y. Ma}, Comput. Fluids 38, No. 6, 1101--1107 (2009; Zbl 1242.76037) Full Text: DOI OpenURL
Yan, Wen-Jing; Ma, Yi-Chen A numerical method for heat conduction in shape reconstruction. (English) Zbl 1165.80313 Appl. Math. Lett. 22, No. 4, 574-580 (2009). MSC: 80A23 80A20 80M10 80M50 PDF BibTeX XML Cite \textit{W.-J. Yan} and \textit{Y.-C. Ma}, Appl. Math. Lett. 22, No. 4, 574--580 (2009; Zbl 1165.80313) Full Text: DOI OpenURL
Wei, T.; Yamamoto, M. Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation. (English) Zbl 1165.65387 Inverse Probl. Sci. Eng. 17, No. 4, 551-567 (2009). MSC: 65M32 35K05 35R30 65F22 PDF BibTeX XML Cite \textit{T. Wei} and \textit{M. Yamamoto}, Inverse Probl. Sci. Eng. 17, No. 4, 551--567 (2009; Zbl 1165.65387) Full Text: DOI Link OpenURL
Chaji, K.; El Bagdouri, M. Identification of an internal material boundary. (English) Zbl 1258.80006 Inverse Probl. Sci. Eng. 16, No. 4, 511-522 (2008). MSC: 80A23 80M10 80A20 PDF BibTeX XML Cite \textit{K. Chaji} and \textit{M. El Bagdouri}, Inverse Probl. Sci. Eng. 16, No. 4, 511--522 (2008; Zbl 1258.80006) Full Text: DOI OpenURL
Yan, Wenjing; Ma, Yichen Shape reconstruction of an inverse Stokes problem. (English) Zbl 1138.76031 J. Comput. Appl. Math. 216, No. 2, 554-562 (2008). MSC: 76D07 76M25 PDF BibTeX XML Cite \textit{W. Yan} and \textit{Y. Ma}, J. Comput. Appl. Math. 216, No. 2, 554--562 (2008; Zbl 1138.76031) Full Text: DOI OpenURL