Nguyen Thi Ngoc Oanh; Le Thi Thu Giang The necessary optimal condition of inverse heat source problem. (English) Zbl 07716447 Evol. Equ. Control Theory 12, No. 5, 1433-1446 (2023). MSC: 35R30 35K20 65J20 65N21 PDF BibTeX XML Cite \textit{Nguyen Thi Ngoc Oanh} and \textit{Le Thi Thu Giang}, Evol. Equ. Control Theory 12, No. 5, 1433--1446 (2023; Zbl 07716447) Full Text: DOI
Jiang, Yi; Liu, Jun; Wang, Xiang-Sheng A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. (English) Zbl 1505.65254 J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023). MSC: 65M32 65M30 65M12 65M15 65F35 65F05 65J20 65Y05 PDF BibTeX XML Cite \textit{Y. Jiang} et al., J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023; Zbl 1505.65254) Full Text: DOI arXiv
Umbricht, Guillermo Federico Identification of the source for full parabolic equations. (English) Zbl 1486.35475 Math. Model. Anal. 26, No. 3, 339-357 (2021). MSC: 35R30 35R25 35K20 47A52 58J35 65T50 PDF BibTeX XML Cite \textit{G. F. Umbricht}, Math. Model. Anal. 26, No. 3, 339--357 (2021; Zbl 1486.35475) Full Text: DOI
Bodaghi, Soheila; Zakeri, Ali; Amiraslani, Amir Regularization of a nonlinear inverse problem by discrete mollification method. (English) Zbl 1474.35687 Comput. Methods Differ. Equ. 9, No. 1, 313-326 (2021). MSC: 35R25 35R30 65M12 PDF BibTeX XML Cite \textit{S. Bodaghi} et al., Comput. Methods Differ. Equ. 9, No. 1, 313--326 (2021; Zbl 1474.35687) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan A Tikhonov regularization method for solving an inverse heat source problem. (English) Zbl 1431.65251 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 441-452 (2020). MSC: 65R32 35R30 PDF BibTeX XML Cite \textit{S. Yang} and \textit{X. Xiong}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 441--452 (2020; Zbl 1431.65251) Full Text: DOI
Wen, Jin; Cheng, Jun-Feng The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation. (English) Zbl 1409.65065 Inverse Probl. Sci. Eng. 26, No. 7, 925-941 (2018). MSC: 65M32 35R30 65M80 80A23 PDF BibTeX XML Cite \textit{J. Wen} and \textit{J.-F. Cheng}, Inverse Probl. Sci. Eng. 26, No. 7, 925--941 (2018; Zbl 1409.65065) Full Text: DOI
Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. (English) Zbl 1403.65039 Eng. Anal. Bound. Elem. 91, 73-81 (2018). MSC: 65M06 65M32 80A23 PDF BibTeX XML Cite \textit{Y. Gu} et al., Eng. Anal. Bound. Elem. 91, 73--81 (2018; Zbl 1403.65039) Full Text: DOI
Rostamian, Malihe; Shahrezaee, Alimardan A meshless method for solving 1D time-dependent heat source problem. (English) Zbl 1398.65281 Inverse Probl. Sci. Eng. 26, No. 1, 51-82 (2018). MSC: 65N21 35K05 35R30 PDF BibTeX XML Cite \textit{M. Rostamian} and \textit{A. Shahrezaee}, Inverse Probl. Sci. Eng. 26, No. 1, 51--82 (2018; Zbl 1398.65281) Full Text: DOI
Shidfar, A.; Darooghehgimofrad, Z. A numerical algorithm based on RBFs for solving an inverse source problem. (English) Zbl 1372.65287 Bull. Malays. Math. Sci. Soc. (2) 40, No. 3, 1149-1158 (2017). MSC: 65M80 35K05 35E05 65L09 PDF BibTeX XML Cite \textit{A. Shidfar} and \textit{Z. Darooghehgimofrad}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 3, 1149--1158 (2017; Zbl 1372.65287) Full Text: DOI
Rostamian, Malihe; Shahrezaee, Alimardan A meshless method to the numerical solution of an inverse reaction-diffusion-convection problem. (English) Zbl 1364.65186 Int. J. Comput. Math. 94, No. 3, 597-619 (2017). MSC: 65M32 35R30 35K57 35K05 PDF BibTeX XML Cite \textit{M. Rostamian} and \textit{A. Shahrezaee}, Int. J. Comput. Math. 94, No. 3, 597--619 (2017; Zbl 1364.65186) Full Text: DOI
Amirfakhrian, M.; Arghand, M.; Kansa, E. J. A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. (English) Zbl 1403.65051 Eng. Anal. Bound. Elem. 64, 278-289 (2016). MSC: 65M32 PDF BibTeX XML Cite \textit{M. Amirfakhrian} et al., Eng. Anal. Bound. Elem. 64, 278--289 (2016; Zbl 1403.65051) Full Text: DOI
Hazanee, A.; Lesnic, D. Reconstruction of multiplicative space- and time-dependent sources. (English) Zbl 1348.65132 Inverse Probl. Sci. Eng. 24, No. 9, 1528-1549 (2016). MSC: 65M32 65M30 65M38 PDF BibTeX XML Cite \textit{A. Hazanee} and \textit{D. Lesnic}, Inverse Probl. Sci. Eng. 24, No. 9, 1528--1549 (2016; Zbl 1348.65132) Full Text: DOI Link
Jia, Xianzheng A Lipschitz stability estimate for the inverse source problem and the numerical scheme. (English) Zbl 1416.65313 Adv. Math. Phys. 2016, Article ID 9504829, 5 p. (2016). MSC: 65M32 65M12 PDF BibTeX XML Cite \textit{X. Jia}, Adv. Math. Phys. 2016, Article ID 9504829, 5 p. (2016; Zbl 1416.65313) Full Text: DOI
Ngoc Oanh, Nguyen Thi; Huong, Bui Viet Determination of a time-dependent term in the right-hand side of linear parabolic equations. (English) Zbl 1347.65151 Acta Math. Vietnam. 41, No. 2, 313-335 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M32 35K05 35R30 65M30 35R25 65F10 PDF BibTeX XML Cite \textit{N. T. Ngoc Oanh} and \textit{B. V. Huong}, Acta Math. Vietnam. 41, No. 2, 313--335 (2016; Zbl 1347.65151) Full Text: DOI
Liu, Chein-Shan Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method. (English) Zbl 1403.65052 Eng. Anal. Bound. Elem. 50, 148-156 (2015). MSC: 65M32 65L80 PDF BibTeX XML Cite \textit{C.-S. Liu}, Eng. Anal. Bound. Elem. 50, 148--156 (2015; Zbl 1403.65052) Full Text: DOI
Cheng, Wei Regularization and stability estimates for an inverse source problem of the radially symmetric parabolic equation. (English) Zbl 1516.35502 J. Inequal. Appl. 2015, Paper No. 136, 10 p. (2015). MSC: 35R30 35B45 35K20 65J20 65M30 PDF BibTeX XML Cite \textit{W. Cheng}, J. Inequal. Appl. 2015, Paper No. 136, 10 p. (2015; Zbl 1516.35502) Full Text: DOI
Shidfar, Abdollah; Jazbi, Batool; Alinejadmofrad, Mohammad Numerical approximation of a non-linear source term for an inverse parabolic problem. (English) Zbl 1336.65158 Comput. Appl. Math. 34, No. 1, 363-373 (2015). MSC: 65M32 35R30 35K55 PDF BibTeX XML Cite \textit{A. Shidfar} et al., Comput. Appl. Math. 34, No. 1, 363--373 (2015; Zbl 1336.65158) Full Text: DOI
Nguyen, Van Thinh; Nguyen, Huy Tuan; Tran, Thanh Binh; Anh Khoa Vo On an inverse problem in the parabolic equation arising from groundwater pollution problem. (English) Zbl 1411.35284 Bound. Value Probl. 2015, Paper No. 67, 23 p. (2015). MSC: 35R30 35K20 47H10 47J06 PDF BibTeX XML Cite \textit{V. T. Nguyen} et al., Bound. Value Probl. 2015, Paper No. 67, 23 p. (2015; Zbl 1411.35284) Full Text: DOI arXiv
Zhao, Jingjun; Liu, Songshu Central difference regularization method for inverse source problem on the Poisson equation. (English) Zbl 1322.65100 Complex Var. Elliptic Equ. 60, No. 3, 405-415 (2015). Reviewer: Bangti Jin (London) MSC: 65N21 35J05 65N06 35R30 65N12 65N15 PDF BibTeX XML Cite \textit{J. Zhao} and \textit{S. Liu}, Complex Var. Elliptic Equ. 60, No. 3, 405--415 (2015; Zbl 1322.65100) Full Text: DOI
Liu, Chein-Shan An iterative algorithm for identifying heat source by using a DQ and a Lie-group method. (English) Zbl 1328.65198 Inverse Probl. Sci. Eng. 23, No. 1, 67-92 (2015). MSC: 65M32 35R30 35K05 65M20 PDF BibTeX XML Cite \textit{C.-S. Liu}, Inverse Probl. Sci. Eng. 23, No. 1, 67--92 (2015; Zbl 1328.65198) Full Text: DOI
Shi, Cong; Wang, Chen; Wei, Ting Numerical solution for an inverse heat source problem by an iterative method. (English) Zbl 1336.65157 Appl. Math. Comput. 244, 577-597 (2014). MSC: 65M32 80A23 PDF BibTeX XML Cite \textit{C. Shi} et al., Appl. Math. Comput. 244, 577--597 (2014; Zbl 1336.65157) Full Text: DOI
Rashedi, Kamal; Adibi, Hojatollah; Dehghan, Mehdi Determination of space-time-dependent heat source in a parabolic inverse problem via the Ritz-Galerkin technique. (English) Zbl 1321.65146 Inverse Probl. Sci. Eng. 22, No. 7, 1077-1108 (2014). MSC: 65M32 65M60 35R30 35K05 35K20 PDF BibTeX XML Cite \textit{K. Rashedi} et al., Inverse Probl. Sci. Eng. 22, No. 7, 1077--1108 (2014; Zbl 1321.65146) Full Text: DOI
Tuan, Nguyen Huy; Trong, Dang Duc; Thong, Ta Hoang; Minh, Nguyen Dang Identification of the pollution source of a parabolic equation with the time-dependent heat conduction. (English) Zbl 1309.65109 J. Inequal. Appl. 2014, Paper No. 161, 15 p. (2014). MSC: 65M32 65M30 35K05 35R25 35R30 65M15 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Inequal. Appl. 2014, Paper No. 161, 15 p. (2014; Zbl 1309.65109) Full Text: DOI
Yang, Fan; Fu, Chu-Li; Li, Xiao-Xiao A quasi-boundary value regularization method for determining the heat source. (English) Zbl 1310.35243 Math. Methods Appl. Sci. 37, No. 18, 3026-3035 (2014). MSC: 35R25 35R30 65M30 PDF BibTeX XML Cite \textit{F. Yang} et al., Math. Methods Appl. Sci. 37, No. 18, 3026--3035 (2014; Zbl 1310.35243) Full Text: DOI
Yang, Fan; Fu, Chu-Li A mollification regularization method for the inverse spatial-dependent heat source problem. (English) Zbl 1291.80010 J. Comput. Appl. Math. 255, 555-567 (2014). MSC: 80A23 80M25 65M32 35Q79 PDF BibTeX XML Cite \textit{F. Yang} and \textit{C.-L. Fu}, J. Comput. Appl. Math. 255, 555--567 (2014; Zbl 1291.80010) Full Text: DOI
Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Ivanchov, M. Determination of a source in the heat equation from integral observations. (English) Zbl 1294.35195 J. Comput. Appl. Math. 264, 82-98 (2014). MSC: 35R30 35K05 65M32 PDF BibTeX XML Cite \textit{D. N. Hào} et al., J. Comput. Appl. Math. 264, 82--98 (2014; Zbl 1294.35195) Full Text: DOI
Hasanov, Alemdar; Pektaş, Burhan A unified approach to identifying an unknown spacewise dependent source in a variable coefficient parabolic equation from final and integral overdeterminations. (English) Zbl 1284.65123 Appl. Numer. Math. 78, 49-67 (2014). MSC: 65M32 35K20 35R30 65F10 PDF BibTeX XML Cite \textit{A. Hasanov} and \textit{B. Pektaş}, Appl. Numer. Math. 78, 49--67 (2014; Zbl 1284.65123) Full Text: DOI
Erdem, A.; Lesnic, D.; Hasanov, A. Identification of a spacewise dependent heat source. (English) Zbl 1427.35355 Appl. Math. Modelling 37, No. 24, 10231-10244 (2013). MSC: 35R30 35K05 35K20 65M32 PDF BibTeX XML Cite \textit{A. Erdem} et al., Appl. Math. Modelling 37, No. 24, 10231--10244 (2013; Zbl 1427.35355) Full Text: DOI
Wen, Jin; Yamamoto, Masahiro; Wei, Ting Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem. (English) Zbl 1281.65126 Inverse Probl. Sci. Eng. 21, No. 3, 485-499 (2013). MSC: 65M32 35K05 35R30 80A20 80A23 65M80 PDF BibTeX XML Cite \textit{J. Wen} et al., Inverse Probl. Sci. Eng. 21, No. 3, 485--499 (2013; Zbl 1281.65126) Full Text: DOI
Zhang, Zheng Qiang; Wei, Ting Identifying an unknown source in time-fractional diffusion equation by a truncation method. (English) Zbl 1273.65134 Appl. Math. Comput. 219, No. 11, 5972-5983 (2013). MSC: 65M32 35R11 35R30 45K05 PDF BibTeX XML Cite \textit{Z. Q. Zhang} and \textit{T. Wei}, Appl. Math. Comput. 219, No. 11, 5972--5983 (2013; Zbl 1273.65134) Full Text: DOI
Zhao, Jingjun; Liu, Songshu; Liu, Tao Two Tikhonov-type regularization methods for inverse source problem on the Poisson equation. (English) Zbl 1294.47020 Math. Methods Appl. Sci. 36, No. 11, 1399-1408 (2013). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 35R30 65J22 PDF BibTeX XML Cite \textit{J. Zhao} et al., Math. Methods Appl. Sci. 36, No. 11, 1399--1408 (2013; Zbl 1294.47020) Full Text: DOI
Shidfar, A.; Babaei, A. The sinc-Galerkin method for solving an inverse parabolic problem with unknown source term. (English) Zbl 1255.65171 Numer. Methods Partial Differ. Equations 29, No. 1, 64-78 (2013). MSC: 65M32 65M60 PDF BibTeX XML Cite \textit{A. Shidfar} and \textit{A. Babaei}, Numer. Methods Partial Differ. Equations 29, No. 1, 64--78 (2013; Zbl 1255.65171) Full Text: DOI
Wei, T.; Wang, J. C. Simultaneous determination for a space-dependent heat source and the initial data by the MFS. (English) Zbl 1352.65316 Eng. Anal. Bound. Elem. 36, No. 12, 1848-1855 (2012). MSC: 65M32 35K20 PDF BibTeX XML Cite \textit{T. Wei} and \textit{J. C. Wang}, Eng. Anal. Bound. Elem. 36, No. 12, 1848--1855 (2012; Zbl 1352.65316) Full Text: DOI
Ma, Yun-Jie; Fu, Chu-Li; Zhang, Yuan-Xiang Identification of an unknown source depending on both time and space variables by a variational method. (English) Zbl 1252.65106 Appl. Math. Modelling 36, No. 10, 5080-5090 (2012). MSC: 65K10 49N45 PDF BibTeX XML Cite \textit{Y.-J. Ma} et al., Appl. Math. Modelling 36, No. 10, 5080--5090 (2012; Zbl 1252.65106) Full Text: DOI
Li, Xiuming; Qian, Suping Numerical solution of the inverse problem of determining an unknown source term in a heat equation. (English) Zbl 1251.80001 J. Appl. Math. 2012, Article ID 390876, 9 p. (2012). MSC: 80M25 80A22 35K99 PDF BibTeX XML Cite \textit{X. Li} and \textit{S. Qian}, J. Appl. Math. 2012, Article ID 390876, 9 p. (2012; Zbl 1251.80001) Full Text: DOI
Yang, Fan; Guo, Hengzhen; Li, Xiaoxiao The method of central difference for the inverse time-dependent heat source problem. (English) Zbl 1244.65135 Appl. Math. Comput. 218, No. 7, 3025-3034 (2011). MSC: 65M32 65M06 35K55 35R30 65M12 PDF BibTeX XML Cite \textit{F. Yang} et al., Appl. Math. Comput. 218, No. 7, 3025--3034 (2011; Zbl 1244.65135) Full Text: DOI
Tian, Na; Sun, Jun; Xu, Wenbo; Lai, Choi-Hong Estimation of unknown heat source function in inverse heat conduction problems using quantum-behaved particle swarm optimization. (English) Zbl 1219.80114 Int. J. Heat Mass Transfer 54, No. 17-18, 4110-4116 (2011). MSC: 80A23 90C59 90C52 65F22 68T05 PDF BibTeX XML Cite \textit{N. Tian} et al., Int. J. Heat Mass Transfer 54, No. 17--18, 4110--4116 (2011; Zbl 1219.80114) Full Text: DOI
Yang, Fan; Fu, Chu-Li Two regularization methods to identify time-dependent heat source through an internal measurement of temperature. (English) Zbl 1217.65183 Math. Comput. Modelling 53, No. 5-6, 793-804 (2011). MSC: 65M32 35R30 35K20 PDF BibTeX XML Cite \textit{F. Yang} and \textit{C.-L. Fu}, Math. Comput. Modelling 53, No. 5--6, 793--804 (2011; Zbl 1217.65183) Full Text: DOI
Qian, Ailin; Li, Yan Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation. (English) Zbl 1217.65182 J. Math. Chem. 49, No. 3, 765-775 (2011). MSC: 65M32 65J20 PDF BibTeX XML Cite \textit{A. Qian} and \textit{Y. Li}, J. Math. Chem. 49, No. 3, 765--775 (2011; Zbl 1217.65182) Full Text: DOI
Liu, Chein-Shan A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data. (English) Zbl 1211.80035 Int. J. Heat Mass Transfer 54, No. 7-8, 1305-1312 (2011). MSC: 80A23 80A20 80M25 PDF BibTeX XML Cite \textit{C.-S. Liu}, Int. J. Heat Mass Transfer 54, No. 7--8, 1305--1312 (2011; Zbl 1211.80035) Full Text: DOI Link
Yang, Fan; Fu, Chu-Li A simplified Tikhonov regularization method for determining the heat source. (English) Zbl 1201.65177 Appl. Math. Modelling 34, No. 11, 3286-3299 (2010). MSC: 65M32 80M25 35R30 PDF BibTeX XML Cite \textit{F. Yang} and \textit{C.-L. Fu}, Appl. Math. Modelling 34, No. 11, 3286--3299 (2010; Zbl 1201.65177) Full Text: DOI
Yang, Fan; Fu, Chu-Li The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem. (English) Zbl 1201.65176 Comput. Math. Appl. 60, No. 5, 1228-1236 (2010). MSC: 65M32 35K10 80A22 80M25 PDF BibTeX XML Cite \textit{F. Yang} and \textit{C.-L. Fu}, Comput. Math. Appl. 60, No. 5, 1228--1236 (2010; Zbl 1201.65176) Full Text: DOI
Shidfar, A.; Babaei, A.; Molabahrami, A. Solving the inverse problem of identifying an unknown source term in a parabolic equation. (English) Zbl 1201.65175 Comput. Math. Appl. 60, No. 5, 1209-1213 (2010). MSC: 65M32 35R30 PDF BibTeX XML Cite \textit{A. Shidfar} et al., Comput. Math. Appl. 60, No. 5, 1209--1213 (2010; Zbl 1201.65175) Full Text: DOI
Liu, Jinbo; Wang, Baiyu; Liu, Zhenhai Determination of a source term in a heat equation. (English) Zbl 1191.65127 Int. J. Comput. Math. 87, No. 5, 969-975 (2010). MSC: 65M32 35K05 35R30 65M06 PDF BibTeX XML Cite \textit{J. Liu} et al., Int. J. Comput. Math. 87, No. 5, 969--975 (2010; Zbl 1191.65127) Full Text: DOI
Geng, Fazhan; Lin, Yingzhen Application of the variational iteration method to inverse heat source problems. (English) Zbl 1189.65216 Comput. Math. Appl. 58, No. 11-12, 2098-2102 (2009). MSC: 65M32 PDF BibTeX XML Cite \textit{F. Geng} and \textit{Y. Lin}, Comput. Math. Appl. 58, No. 11--12, 2098--2102 (2009; Zbl 1189.65216) Full Text: DOI
Ahmadabadi, M. Nili; Arab, M.; Ghaini, F. M. Maalek The method of fundamental solutions for the inverse space-dependent heat source problem. (English) Zbl 1180.80054 Eng. Anal. Bound. Elem. 33, No. 10, 1231-1235 (2009). MSC: 80A23 35R30 58J35 58J90 PDF BibTeX XML Cite \textit{M. N. Ahmadabadi} et al., Eng. Anal. Bound. Elem. 33, No. 10, 1231--1235 (2009; Zbl 1180.80054) Full Text: DOI
Yang, Fan; Fu, Chu-Li Two regularization methods for identification of the heat source depending only on spatial variable for the heat equation. (English) Zbl 1181.35340 J. Inverse Ill-Posed Probl. 17, No. 8, 815-830 (2009). MSC: 35R30 35R25 65M30 65M32 65M15 PDF BibTeX XML Cite \textit{F. Yang} and \textit{C.-L. Fu}, J. Inverse Ill-Posed Probl. 17, No. 8, 815--830 (2009; Zbl 1181.35340) Full Text: DOI
Dou, Fang-Fang; Fu, Chu-Li; Yang, Fan Identifying an unknown source term in a heat equation. (English) Zbl 1183.65116 Inverse Probl. Sci. Eng. 17, No. 7, 901-913 (2009). Reviewer: Damian Słota (Gliwice) MSC: 65M32 80A23 35R30 35K05 PDF BibTeX XML Cite \textit{F.-F. Dou} et al., Inverse Probl. Sci. Eng. 17, No. 7, 901--913 (2009; Zbl 1183.65116) Full Text: DOI
Dou, Fang-Fang; Fu, Chu-Li Determining an unknown source in the heat equation by a wavelet dual least squares method. (English) Zbl 1172.35511 Appl. Math. Lett. 22, No. 5, 661-667 (2009). MSC: 35R30 35R25 65M15 65M30 65M60 PDF BibTeX XML Cite \textit{F.-F. Dou} and \textit{C.-L. Fu}, Appl. Math. Lett. 22, No. 5, 661--667 (2009; Zbl 1172.35511) Full Text: DOI
Liu, Chein-Shan A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature. (English) Zbl 1157.80395 Int. J. Heat Mass Transfer 52, No. 7-8, 1635-1642 (2009). MSC: 80A23 80M25 80M20 65L10 PDF BibTeX XML Cite \textit{C.-S. Liu}, Int. J. Heat Mass Transfer 52, No. 7--8, 1635--1642 (2009; Zbl 1157.80395) Full Text: DOI
Yan, Liang; Fu, Chu-Li; Yang, Feng-Lian The method of fundamental solutions for the inverse heat source problem. (English) Zbl 1244.80026 Eng. Anal. Bound. Elem. 32, No. 3, 216-222 (2008). MSC: 80M25 80A23 80A20 65M80 PDF BibTeX XML Cite \textit{L. Yan} et al., Eng. Anal. Bound. Elem. 32, No. 3, 216--222 (2008; Zbl 1244.80026) Full Text: DOI
Guo, J.; Le Masson, P.; Rouquette, S.; Loulou, T.; Artioukhine Estimation of a source term in a two-dimensional heat transfer problem: application to an electron beam welding, theoretical and experimental validations. (English) Zbl 1160.80002 Inverse Probl. Sci. Eng. 15, No. 7, 743-763 (2007). Reviewer: Damian Słota (Gliwice) MSC: 80A20 80A23 80M50 PDF BibTeX XML Cite \textit{J. Guo} et al., Inverse Probl. Sci. Eng. 15, No. 7, 743--763 (2007; Zbl 1160.80002) Full Text: DOI
Silva, Paulo M. P.; Orlande, Helcio R. B.; Colaço, Marcelo J.; Shiakolas, Panayiotis S.; Dulikravich, George S. Identification and design of source term in a two-region heat conduction problem. (English) Zbl 1158.80320 Inverse Probl. Sci. Eng. 15, No. 7, 661-677 (2007). MSC: 80A23 80A20 PDF BibTeX XML Cite \textit{P. M. P. Silva} et al., Inverse Probl. Sci. Eng. 15, No. 7, 661--677 (2007; Zbl 1158.80320) Full Text: DOI
Farcas, Adrian; Lesnic, Daniel The boundary-element method for the determination of a heat source dependent on one variable. (English) Zbl 1146.80007 J. Eng. Math. 54, No. 4, 375-388 (2006). Reviewer: Alain Brillard (Riedisheim) MSC: 80M15 65M32 80A23 80A20 PDF BibTeX XML Cite \textit{A. Farcas} and \textit{D. Lesnic}, J. Eng. Math. 54, No. 4, 375--388 (2006; Zbl 1146.80007) Full Text: DOI