Bradji, Abdallah; Lesnic, Daniel Steady-state inhomogeneous diffusion with generalized oblique boundary conditions. (English) Zbl 07787594 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701-2733 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N08 65N21 65M12 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{D. Lesnic}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701--2733 (2023; Zbl 07787594) Full Text: DOI
Sun, Shiwei; Nakamura, Gen; Wang, Haibing Numerical studies of domain sampling methods for inverse boundary value problems by one measurement. (English) Zbl 07690208 J. Comput. Phys. 485, Article ID 112099, 18 p. (2023). MSC: 35Rxx 35Jxx 78Axx PDFBibTeX XMLCite \textit{S. Sun} et al., J. Comput. Phys. 485, Article ID 112099, 18 p. (2023; Zbl 07690208) Full Text: DOI
Fang, Weifu Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative. (English) Zbl 1491.35452 J. Comput. Appl. Math. 413, Article ID 114376, 13 p. (2022). MSC: 35R30 35J25 65N21 PDFBibTeX XMLCite \textit{W. Fang}, J. Comput. Appl. Math. 413, Article ID 114376, 13 p. (2022; Zbl 1491.35452) Full Text: DOI
Nicholson, Ruanui; Niskanen, Matti Joint estimation of Robin coefficient and domain boundary for the Poisson problem. (English) Zbl 1481.35404 Inverse Probl. 38, No. 1, Article ID 015008, 23 p. (2022). MSC: 35R30 35J25 65M32 PDFBibTeX XMLCite \textit{R. Nicholson} and \textit{M. Niskanen}, Inverse Probl. 38, No. 1, Article ID 015008, 23 p. (2022; Zbl 1481.35404) Full Text: DOI arXiv
Qin, Hai-Hua; Pang, Hong-Kui; Liu, Ji-Chuan Reconstruction for shape and impedance in an inverse scattering problem. (English) Zbl 1484.35414 Int. J. Comput. Math. 98, No. 5, 1015-1028 (2021). MSC: 35R30 35P25 35R25 49N45 65M32 65N20 PDFBibTeX XMLCite \textit{H.-H. Qin} et al., Int. J. Comput. Math. 98, No. 5, 1015--1028 (2021; Zbl 1484.35414) Full Text: DOI
Hu, Yuqing Integral equation method for inverse scattering problem from the far-field data. (English) Zbl 1488.35622 Adv. Appl. Math. Mech. 13, No. 6, 1558-1574 (2021). MSC: 35R30 65F22 65R20 65R32 PDFBibTeX XMLCite \textit{Y. Hu}, Adv. Appl. Math. Mech. 13, No. 6, 1558--1574 (2021; Zbl 1488.35622) Full Text: DOI
Hadj, Abdelhak; Saker, Hacene Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients. (English) Zbl 1459.31002 Appl. Numer. Math. 160, 436-450 (2021); corrigendum ibid. 161, 147 (2021). MSC: 31A30 35J40 35R30 PDFBibTeX XMLCite \textit{A. Hadj} and \textit{H. Saker}, Appl. Numer. Math. 160, 436--450 (2021; Zbl 1459.31002) Full Text: DOI
Hu, Yuqing; Wang, Bingxian; Li, Tongxing Corrosion shape reconstruction of the mixed boundary in electrostatic imaging. (English) Zbl 1486.65301 Adv. Difference Equ. 2020, Paper No. 405, 19 p. (2020). MSC: 65R32 65R20 35R30 78A46 PDFBibTeX XMLCite \textit{Y. Hu} et al., Adv. Difference Equ. 2020, Paper No. 405, 19 p. (2020; Zbl 1486.65301) Full Text: DOI
Aussal, Matthieu; Boukari, Yosra; Haddar, Houssem Data completion method for the Helmholtz equation via surface potentials for partial Cauchy data. (English) Zbl 1469.35243 Inverse Probl. 36, No. 5, Article ID 055012, 17 p. (2020). MSC: 35R30 35J05 35J25 65M32 PDFBibTeX XMLCite \textit{M. Aussal} et al., Inverse Probl. 36, No. 5, Article ID 055012, 17 p. (2020; Zbl 1469.35243) Full Text: DOI HAL
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell’s equations. (English) Zbl 1479.65019 Inverse Probl. Imaging 14, No. 6, 1107-1133 (2020). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N21 65N20 65N12 65J20 65N30 35B65 35A15 78A46 78M10 35Q61 PDFBibTeX XMLCite \textit{M. Darbas} et al., Inverse Probl. Imaging 14, No. 6, 1107--1133 (2020; Zbl 1479.65019) Full Text: DOI arXiv
Wang, Chunmei; Wang, Junping Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. (English) Zbl 1443.65374 Comput. Math. Appl. 79, No. 3, 746-763 (2020). MSC: 65N30 65N20 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wang}, Comput. Math. Appl. 79, No. 3, 746--763 (2020; Zbl 1443.65374) Full Text: DOI arXiv
Chapko, Roman; Johansson, B. Tomas; Mindrinos, Leonidas On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics. (English) Zbl 1437.65234 J. Comput. Appl. Math. 367, Article ID 112463, 16 p. (2020). MSC: 65R20 65R30 74B05 74B20 PDFBibTeX XMLCite \textit{R. Chapko} et al., J. Comput. Appl. Math. 367, Article ID 112463, 16 p. (2020; Zbl 1437.65234) Full Text: DOI arXiv Link
Khélifa, I.; Chorfi, L. Direct and inverse problem for geometric perturbation of the Laplace operator in a strip. (English) Zbl 1513.35202 Bound. Value Probl. 2019, Paper No. 132, 19 p. (2019). MSC: 35J25 35R30 65N21 65R32 PDFBibTeX XMLCite \textit{I. Khélifa} and \textit{L. Chorfi}, Bound. Value Probl. 2019, Paper No. 132, 19 p. (2019; Zbl 1513.35202) Full Text: DOI
Qu, Dan; Ma, Yan-Bo The numerical solution of forward and inverse Robin problems for Laplace’s equation. (English) Zbl 1524.65737 Bound. Value Probl. 2019, Paper No. 114, 13 p. (2019). MSC: 65N21 35J25 35R30 65N38 65F08 65F10 PDFBibTeX XMLCite \textit{D. Qu} and \textit{Y.-B. Ma}, Bound. Value Probl. 2019, Paper No. 114, 13 p. (2019; Zbl 1524.65737) Full Text: DOI
Fang, Weifu; Lin, Fu-Rong; Ma, Yan-Bo Fast algorithms for boundary integral equations on elliptic domains and related inverse problems. (English) Zbl 1462.65215 East Asian J. Appl. Math. 9, No. 3, 485-505 (2019). MSC: 65N38 65N21 PDFBibTeX XMLCite \textit{W. Fang} et al., East Asian J. Appl. Math. 9, No. 3, 485--505 (2019; Zbl 1462.65215) Full Text: DOI
Chapko, Roman; Johansson, B. Tomas; Muzychuk, Yuriy; Hlova, Andriy Wave propagation from lateral Cauchy data using a boundary element method. (English) Zbl 1524.35357 Wave Motion 91, Article ID 102385, 12 p. (2019). MSC: 35L20 35R25 44A15 65N38 PDFBibTeX XMLCite \textit{R. Chapko} et al., Wave Motion 91, Article ID 102385, 12 p. (2019; Zbl 1524.35357) Full Text: DOI
Rabago, Julius Fergy T.; Azegami, Hideyuki Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement. (English) Zbl 1410.49050 Japan J. Ind. Appl. Math. 36, No. 1, 131-176 (2019). MSC: 49Q10 49Q12 34A55 35Q93 PDFBibTeX XMLCite \textit{J. F. T. Rabago} and \textit{H. Azegami}, Japan J. Ind. Appl. Math. 36, No. 1, 131--176 (2019; Zbl 1410.49050) Full Text: DOI
Gintides, D.; Mindrinos, Leonidas The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence. (English) Zbl 1407.78020 Appl. Anal. 98, No. 4, 781-798 (2019). MSC: 78A46 35R30 45E05 45G15 65N21 65R32 PDFBibTeX XMLCite \textit{D. Gintides} and \textit{L. Mindrinos}, Appl. Anal. 98, No. 4, 781--798 (2019; Zbl 1407.78020) Full Text: DOI arXiv
Chapko, Roman; Johansson, B. Tomas A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems. (English) Zbl 1393.65025 Appl. Numer. Math. 129, 104-119 (2018). MSC: 65M38 65F22 35Q79 65M06 35Q60 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{B. T. Johansson}, Appl. Numer. Math. 129, 104--119 (2018; Zbl 1393.65025) Full Text: DOI Link
Ma, Yanbo Numerical methods for piecewise constant Robin coefficient. (English) Zbl 1427.65345 J. Math. Comput. Sci., JMCS 17, No. 1, 96-105 (2017). MSC: 65N21 35R30 45Q05 65R32 PDFBibTeX XMLCite \textit{Y. Ma}, J. Math. Comput. Sci., JMCS 17, No. 1, 96--105 (2017; Zbl 1427.65345) Full Text: DOI
Chapko, R.; Johansson, B. T. Boundary-integral approach to the numerical solution of the Cauchy problem for the Laplace equation. (English) Zbl 1490.65298 Ukr. Math. J. 68, No. 12, 1929-1948 (2017) and Ukr. Mat. Zh. 68, No. 12, 1665-1682 (2016). MSC: 65N38 35J25 35R25 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{B. T. Johansson}, Ukr. Math. J. 68, No. 12, 1929--1948 (2017; Zbl 1490.65298) Full Text: DOI Link
Fang, Xi-Ming; Lin, Fu-Rong; Wang, Chao Estimation of a regularisation parameter for a Robin inverse problem. (English) Zbl 1422.65066 East Asian J. Appl. Math. 7, No. 2, 325-342 (2017). MSC: 65F22 65R32 PDFBibTeX XMLCite \textit{X.-M. Fang} et al., East Asian J. Appl. Math. 7, No. 2, 325--342 (2017; Zbl 1422.65066) Full Text: DOI
Liu, Jijun; Nakamura, Gen Recovering the boundary corrosion from electrical potential distribution using partial boundary data. (English) Zbl 1372.35080 Inverse Probl. Imaging 11, No. 3, 521-538 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35J25 35R25 35R30 PDFBibTeX XMLCite \textit{J. Liu} and \textit{G. Nakamura}, Inverse Probl. Imaging 11, No. 3, 521--538 (2017; Zbl 1372.35080) Full Text: DOI
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations. (English) Zbl 1351.35257 J. Inverse Ill-Posed Probl. 24, No. 6, 711-725 (2016). MSC: 35R25 35J05 65R20 PDFBibTeX XMLCite \textit{I. Borachok} et al., J. Inverse Ill-Posed Probl. 24, No. 6, 711--725 (2016; Zbl 1351.35257) Full Text: DOI Link
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas Numerical solution of a Cauchy problem for Laplace equation in 3-dimensional domains by integral equations. (English) Zbl 1348.65130 Inverse Probl. Sci. Eng. 24, No. 9, 1550-1568 (2016). MSC: 65M32 35R30 35J05 65M12 PDFBibTeX XMLCite \textit{I. Borachok} et al., Inverse Probl. Sci. Eng. 24, No. 9, 1550--1568 (2016; Zbl 1348.65130) Full Text: DOI
Hu, Guanghui; Yamamoto, Masahiro Hölder stability estimate of Robin coefficient in corrosion detection with a single boundary measurement. (English) Zbl 1329.35352 Inverse Probl. 31, No. 11, Article ID 115009, 20 p. (2015). MSC: 35R30 35Q60 PDFBibTeX XMLCite \textit{G. Hu} and \textit{M. Yamamoto}, Inverse Probl. 31, No. 11, Article ID 115009, 20 p. (2015; Zbl 1329.35352) Full Text: DOI
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. Simultaneous numerical determination of a corroded boundary and its admittance. (English) Zbl 1326.65150 Inverse Probl. Sci. Eng. 23, No. 7, 1120-1137 (2015). MSC: 65N21 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 23, No. 7, 1120--1137 (2015; Zbl 1326.65150) Full Text: DOI Link
Cao, Hui; Pereverzev, Sergei V.; Sincich, Eva Discretized Tikhonov regularization for Robin boundaries localization. (English) Zbl 1372.35358 Appl. Math. Comput. 226, 374-385 (2014). MSC: 35R30 65F22 PDFBibTeX XMLCite \textit{H. Cao} et al., Appl. Math. Comput. 226, 374--385 (2014; Zbl 1372.35358) Full Text: DOI arXiv
Ma, Yan-Bo; Lin, Fu-Rong Conjugate gradient method for estimation of Robin coefficients. (English) Zbl 1309.65129 East Asian J. Appl. Math. 4, No. 2, 189-204 (2014). MSC: 65N21 35J05 35R30 65N38 65F10 PDFBibTeX XMLCite \textit{Y.-B. Ma} and \textit{F.-R. Lin}, East Asian J. Appl. Math. 4, No. 2, 189--204 (2014; Zbl 1309.65129) Full Text: DOI Link
Chapko, Roman; Johansson, B. Tomas; Savka, Yuriy On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain. (English) Zbl 1304.65240 Inverse Probl. Sci. Eng. 22, No. 1, 130-149 (2014). MSC: 65N21 35A35 65N80 65N20 35J05 65J20 PDFBibTeX XMLCite \textit{R. Chapko} et al., Inverse Probl. Sci. Eng. 22, No. 1, 130--149 (2014; Zbl 1304.65240) Full Text: DOI
Bacchelli, V.; Di Cristo, M.; Sincich, E.; Vessella, S. A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance. (English) Zbl 1317.35292 Trans. Am. Math. Soc. 366, No. 8, 3965-3995 (2014). Reviewer: Dinh Nho Hào (Hanoi) MSC: 35R30 35B35 35K05 PDFBibTeX XMLCite \textit{V. Bacchelli} et al., Trans. Am. Math. Soc. 366, No. 8, 3965--3995 (2014; Zbl 1317.35292) Full Text: DOI arXiv
Qin, Hai-Hua; Liu, Ji-Chuan Reconstruction for cavities with impedance boundary condition. (English) Zbl 1401.78011 J. Integral Equations Appl. 25, No. 3, 431-454 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 45Q05 65R30 PDFBibTeX XMLCite \textit{H.-H. Qin} and \textit{J.-C. Liu}, J. Integral Equations Appl. 25, No. 3, 431--454 (2013; Zbl 1401.78011) Full Text: DOI Euclid
Wei, T.; Chen, Y. G. Numerical identification for impedance coefficient by a MFS-based optimization method. (English) Zbl 1352.65449 Eng. Anal. Bound. Elem. 36, No. 10, 1445-1452 (2012). MSC: 65N21 65N06 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Y. G. Chen}, Eng. Anal. Bound. Elem. 36, No. 10, 1445--1452 (2012; Zbl 1352.65449) Full Text: DOI
Fang, Weifu; Zeng, Suxing Recovery of an interface from boundary measurement in an elliptic differential equation. (English) Zbl 1259.65164 Adv. Comput. Math. 36, No. 2, 201-220 (2012). Reviewer: Riikka Korte (Helsinki) MSC: 65N21 35J25 35R30 65N30 82D37 PDFBibTeX XMLCite \textit{W. Fang} and \textit{S. Zeng}, Adv. Comput. Math. 36, No. 2, 201--220 (2012; Zbl 1259.65164) Full Text: DOI
Lesnic, D.; Bin-Mohsin, B. Inverse shape and surface heat transfer coefficient identification. (English) Zbl 1275.65057 J. Comput. Appl. Math. 236, No. 7, 1876-1891 (2012). MSC: 65M32 35K05 35J05 35R30 65M80 PDFBibTeX XMLCite \textit{D. Lesnic} and \textit{B. Bin-Mohsin}, J. Comput. Appl. Math. 236, No. 7, 1876--1891 (2012; Zbl 1275.65057) Full Text: DOI
Yan, Guozheng The method of integral equation for scattering problem with a mixed crack. (English) Zbl 1228.35240 Math. Methods Appl. Sci. 34, No. 15, 1813-1821 (2011). MSC: 35Q60 35D30 35P25 35J05 78A45 PDFBibTeX XMLCite \textit{G. Yan}, Math. Methods Appl. Sci. 34, No. 15, 1813--1821 (2011; Zbl 1228.35240) Full Text: DOI
Cabib, Elio; Fasino, Dario; Sincich, Eva Linearization of a free boundary problem in corrosion detection. (English) Zbl 1211.35271 J. Math. Anal. Appl. 378, No. 2, 700-709 (2011). MSC: 35R30 35R35 35J25 35B35 31A25 PDFBibTeX XMLCite \textit{E. Cabib} et al., J. Math. Anal. Appl. 378, No. 2, 700--709 (2011; Zbl 1211.35271) Full Text: DOI
Fang, Weifu; Zeng, Suxing A direct solution of the Robin inverse problem. (English) Zbl 1204.65130 J. Integral Equations Appl. 21, No. 4, 545-557 (2009). MSC: 65N21 35J05 65N38 35R30 PDFBibTeX XMLCite \textit{W. Fang} and \textit{S. Zeng}, J. Integral Equations Appl. 21, No. 4, 545--557 (2009; Zbl 1204.65130) Full Text: DOI
Alves, Carlos J. S.; Martins, Nuno F. M. The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities. (English) Zbl 1166.74008 J. Integral Equations Appl. 21, No. 2, 153-178 (2009). MSC: 74G75 35R30 PDFBibTeX XMLCite \textit{C. J. S. Alves} and \textit{N. F. M. Martins}, J. Integral Equations Appl. 21, No. 2, 153--178 (2009; Zbl 1166.74008) Full Text: DOI
Alves, Carlos J. S.; Martins, Nuno F. M. On the determination of a Robin boundary coefficient in an elastic cavity using the MFS. (English) Zbl 1157.74015 Ferreira, A. J. M. (ed.) et al., Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9–11, 2007. Dordrecht: Springer (ISBN 978-1-4020-8820-9/hbk). Computational Methods in Applied Sciences (Springer) 11, 125-139 (2009). MSC: 74G75 74S30 74B05 74G30 PDFBibTeX XMLCite \textit{C. J. S. Alves} and \textit{N. F. M. Martins}, in: Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9--11, 2007. Dordrecht: Springer. 125--139 (2009; Zbl 1157.74015) Full Text: DOI
Fang, Weifu; Zeng, Suxing Numerical recovery of Robin boundary from boundary measurements for the Laplace equation. (English) Zbl 1158.65080 J. Comput. Appl. Math. 224, No. 2, 573-580 (2009). MSC: 65N21 65N38 35J05 PDFBibTeX XMLCite \textit{W. Fang} and \textit{S. Zeng}, J. Comput. Appl. Math. 224, No. 2, 573--580 (2009; Zbl 1158.65080) Full Text: DOI