Isyaku, M.; Tammer, C.; Farajzadeh, A. Existence results and optimization over the set of efficient solutions in vector-valued approximation theory. (English) Zbl 07776544 J. Nonlinear Var. Anal. 7, No. 5, 743-767 (2023). MSC: 90C29 PDFBibTeX XMLCite \textit{M. Isyaku} et al., J. Nonlinear Var. Anal. 7, No. 5, 743--767 (2023; Zbl 07776544) Full Text: DOI
Dinh Nho Hào; Khan, Akhtar A.; Reich, Simeon Convergence rates for nonlinear inverse problems of parameter identification using Bregman distances. (English) Zbl 07776542 J. Nonlinear Var. Anal. 7, No. 5, 715-726 (2023). MSC: 49N45 35R30 PDFBibTeX XMLCite \textit{Dinh Nho Hào} et al., J. Nonlinear Var. Anal. 7, No. 5, 715--726 (2023; Zbl 07776542) Full Text: DOI
Dambrine, Marc; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jörg Stochastic elliptic inverse problems. Solvability, convergence rates, discretization, and applications. (English) Zbl 1522.35577 J. Convex Anal. 30, No. 3, 851-885 (2023). MSC: 35R30 35J25 35R60 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{M. Dambrine} et al., J. Convex Anal. 30, No. 3, 851--885 (2023; Zbl 1522.35577) Full Text: Link
Dippon, Jürgen; Gwinner, Joachim; Khan, Akhtar A.; Sama, Miguel A new regularized stochastic approximation framework for stochastic inverse problems. (English) Zbl 1519.35367 Nonlinear Anal., Real World Appl. 73, Article ID 103869, 29 p. (2023). MSC: 35R30 35J40 35R60 PDFBibTeX XMLCite \textit{J. Dippon} et al., Nonlinear Anal., Real World Appl. 73, Article ID 103869, 29 p. (2023; Zbl 1519.35367) Full Text: DOI
Zhu, Xiaopeng; Wu, Zhizhang; Huang, Zhongyi The direct method of lines for forward and inverse linear elasticity problems of composite materials in star-shaped domains. (English) Zbl 1524.65739 Numer. Math., Theory Methods Appl. 16, No. 1, 242-276 (2023). MSC: 65N21 65N40 74A40 74B05 74E30 65N15 65K10 74B10 35Q74 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 242--276 (2023; Zbl 1524.65739) Full Text: DOI
Awasthi, Chaitanya; Lamperski, Andrew; Kowalewski, Timothy M. Multi-material inverse design of soft deformable bodies via functional optimization. (English) Zbl 1507.35336 Inverse Probl. 39, No. 3, Article ID 035006, 34 p. (2023). MSC: 35R30 35J57 74B05 PDFBibTeX XMLCite \textit{C. Awasthi} et al., Inverse Probl. 39, No. 3, Article ID 035006, 34 p. (2023; Zbl 1507.35336) Full Text: DOI
Arias, J.; Khan, A. A.; Rodriguez-Uría, J.; Sama, M. Analysis of smart thermostat thermal models for residential building. (English) Zbl 1505.49029 Appl. Math. Modelling 110, 241-261 (2022). MSC: 49N90 49K15 49N30 PDFBibTeX XMLCite \textit{J. Arias} et al., Appl. Math. Modelling 110, 241--261 (2022; Zbl 1505.49029) Full Text: DOI
Hoffmann, Heiko; Wald, Anne; Nguyen, Tram Thi Ngoc Parameter identification for elliptic boundary value problems: an abstract framework and applications. (English) Zbl 1491.35458 Inverse Probl. 38, No. 7, Article ID 075005, 49 p. (2022). MSC: 35R30 35D30 35J25 PDFBibTeX XMLCite \textit{H. Hoffmann} et al., Inverse Probl. 38, No. 7, Article ID 075005, 49 p. (2022; Zbl 1491.35458) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Sama, Miguel A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. (English) Zbl 1489.35312 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106406, 11 p. (2022). MSC: 35R60 35J40 35R30 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106406, 11 p. (2022; Zbl 1489.35312) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan An iteratively regularized stochastic gradient method for estimating a random parameter in a stochastic PDE. A variational inequality approach. (English) Zbl 07557729 J. Nonlinear Var. Anal. 5, No. 6, 865-880 (2021). MSC: 65C30 35R30 60H15 PDFBibTeX XMLCite \textit{B. Jadamba} et al., J. Nonlinear Var. Anal. 5, No. 6, 865--880 (2021; Zbl 07557729) Full Text: DOI
Baiz, Othmane; Benaissa, Hicham; Faiz, Zakaria; El Moutawakil, Driss Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem. (English) Zbl 1481.35225 J. Inverse Ill-Posed Probl. 29, No. 6, 917-934 (2021). MSC: 35J87 35R30 47J20 49J40 74M10 74M15 PDFBibTeX XMLCite \textit{O. Baiz} et al., J. Inverse Ill-Posed Probl. 29, No. 6, 917--934 (2021; Zbl 1481.35225) Full Text: DOI
Haslinger, Jaroslav; Blaheta, Radim; Mäkinen, Raino A. E. Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals. (English) Zbl 07431478 Math. Comput. Simul. 189, 55-68 (2021). MSC: 49-XX 93-XX PDFBibTeX XMLCite \textit{J. Haslinger} et al., Math. Comput. Simul. 189, 55--68 (2021; Zbl 07431478) Full Text: DOI
Hawks, Rachel; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations. (English) Zbl 1472.35451 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 207-226 (2021). MSC: 35R30 35R60 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{R. Hawks} et al., Springer Optim. Appl. 167, 207--226 (2021; Zbl 1472.35451) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. (English) Zbl 1471.35332 SIAM/ASA J. Uncertain. Quantif. 9, 922-952 (2021). MSC: 35R30 35R60 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{B. Jadamba} et al., SIAM/ASA J. Uncertain. Quantif. 9, 922--952 (2021; Zbl 1471.35332) Full Text: DOI
Babaniyi, O.; Jadamba, B.; Khan, A. A.; Richards, M.; Sama, M.; Tammer, C. Three optimization formulations for an inverse problem in saddle point problems with applications to elasticity imaging of locating tumor in incompressible medium. (English) Zbl 1482.35271 J. Nonlinear Var. Anal. 4, No. 2, 301-318 (2020). MSC: 35R30 92C55 74G75 65N30 49N45 PDFBibTeX XMLCite \textit{O. Babaniyi} et al., J. Nonlinear Var. Anal. 4, No. 2, 301--318 (2020; Zbl 1482.35271) Full Text: DOI
Jiang, Caijing; Zeng, Biao Continuous dependence and optimal control for a class of variational-hemivariational inequalities. (English) Zbl 1454.49012 Appl. Math. Optim. 82, No. 2, 637-656 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 47J20 74M10 74M15 90C26 PDFBibTeX XMLCite \textit{C. Jiang} and \textit{B. Zeng}, Appl. Math. Optim. 82, No. 2, 637--656 (2020; Zbl 1454.49012) Full Text: DOI
Tyagi, Mohit; Barbone, Paul E.; Oberai, Assad A. Residual-based stabilized formulation for the solution of inverse elliptic partial differential equations. (English) Zbl 1447.65121 Comput. Math. Appl. 80, No. 5, 822-836 (2020). MSC: 65N21 35J57 35R30 65N30 74B10 65N12 PDFBibTeX XMLCite \textit{M. Tyagi} et al., Comput. Math. Appl. 80, No. 5, 822--836 (2020; Zbl 1447.65121) Full Text: DOI
Zeng, Biao; Migórski, Stanisław Variational-hemivariational inverse problems for unilateral frictional contact. (English) Zbl 1436.49050 Appl. Anal. 99, No. 2, 293-312 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49N45 49J40 49J53 74M10 74M15 47J20 47J22 90C26 PDFBibTeX XMLCite \textit{B. Zeng} and \textit{S. Migórski}, Appl. Anal. 99, No. 2, 293--312 (2020; Zbl 1436.49050) Full Text: DOI
Yun, Gun Jin; Shang, Shen On the existence of a global minimum in inverse parameters identification by self-optimizing inverse analysis method. (English) Zbl 1442.49002 Comput. Math. Appl. 77, No. 3, 803-814 (2019). MSC: 49J10 49N45 74G75 PDFBibTeX XMLCite \textit{G. J. Yun} and \textit{S. Shang}, Comput. Math. Appl. 77, No. 3, 803--814 (2019; Zbl 1442.49002) Full Text: DOI
Khan, Akhtar A.; Migorski, Stanislaw; Sama, Miguel Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data. (English) Zbl 1426.49040 Optimization 68, No. 10, 1897-1931 (2019). MSC: 49N45 35R30 65J20 65J22 65M30 49J40 PDFBibTeX XMLCite \textit{A. A. Khan} et al., Optimization 68, No. 10, 1897--1931 (2019; Zbl 1426.49040) Full Text: DOI
Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane Contingent derivatives and regularization for noncoercive inverse problems. (English) Zbl 1422.90060 Optimization 68, No. 7, 1337-1364 (2019). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Clason} et al., Optimization 68, No. 7, 1337--1364 (2019; Zbl 1422.90060) Full Text: DOI arXiv
Migórski, Stanisław; Zeng, Biao Convergence of solutions to inverse problems for a class of variational-hemivariational inequalities. (English) Zbl 1404.49005 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4477-4498 (2018). MSC: 49J40 49N45 35R30 47J20 35Q74 74G75 74M15 90C26 PDFBibTeX XMLCite \textit{S. Migórski} and \textit{B. Zeng}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4477--4498 (2018; Zbl 1404.49005) Full Text: DOI
Gwinner, Joachim On two-coefficient identification in elliptic variational inequalities. (English) Zbl 1397.49014 Optimization 67, No. 7, 1017-1030 (2018). MSC: 49J40 49N45 93B30 PDFBibTeX XMLCite \textit{J. Gwinner}, Optimization 67, No. 7, 1017--1030 (2018; Zbl 1397.49014) Full Text: DOI
Gwinner, Joachim An optimization approach to parameter identification in variational inequalities of second kind. (English) Zbl 1421.90146 Optim. Lett. 12, No. 5, 1141-1154 (2018). MSC: 90C33 PDFBibTeX XMLCite \textit{J. Gwinner}, Optim. Lett. 12, No. 5, 1141--1154 (2018; Zbl 1421.90146) Full Text: DOI arXiv
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel Identification in variational and quasi-variational inequalities. (English) Zbl 1391.49012 J. Convex Anal. 25, No. 2, 545-569 (2018). MSC: 49J40 49N45 90C26 49J20 49J52 PDFBibTeX XMLCite \textit{J. Gwinner} et al., J. Convex Anal. 25, No. 2, 545--569 (2018; Zbl 1391.49012) Full Text: Link
Khan, Akhtar A.; Motreanu, Dumitru Inverse problems for quasi-variational inequalities. (English) Zbl 1387.35620 J. Glob. Optim. 70, No. 2, 401-411 (2018). MSC: 35R30 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{A. A. Khan} and \textit{D. Motreanu}, J. Glob. Optim. 70, No. 2, 401--411 (2018; Zbl 1387.35620) Full Text: DOI
Liu, Tao A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation. (English) Zbl 1376.65125 J. Comput. Appl. Math. 330, 165-176 (2018). MSC: 65M32 35R30 35K57 65T60 76S05 76M20 PDFBibTeX XMLCite \textit{T. Liu}, J. Comput. Appl. Math. 330, 165--176 (2018; Zbl 1376.65125) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Oberai, Assad A.; Sama, Miguel First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. (English) Zbl 1387.92057 Inverse Probl. Sci. Eng. 25, No. 12, 1768-1787 (2017). MSC: 92C55 35R30 65J22 74G25 49N45 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Inverse Probl. Sci. Eng. 25, No. 12, 1768--1787 (2017; Zbl 1387.92057) Full Text: DOI
Nair, M. Thamban; Das Roy, Samprita A linear regularization method for a nonlinear parameter identification problem. (English) Zbl 1380.65385 J. Inverse Ill-Posed Probl. 25, No. 6, 687-701 (2017). MSC: 65N30 35R30 65J15 65J20 76S05 76M10 PDFBibTeX XMLCite \textit{M. T. Nair} and \textit{S. Das Roy}, J. Inverse Ill-Posed Probl. 25, No. 6, 687--701 (2017; Zbl 1380.65385) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics. (English) Zbl 1400.90303 Optimization 66, No. 6, 983-1012 (2017). MSC: 90C48 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Optimization 66, No. 6, 983--1012 (2017; Zbl 1400.90303) Full Text: DOI
Haslinger, J.; Blaheta, R.; Hrtus, R. Identification problems with given material interfaces. (English) Zbl 1347.49052 J. Comput. Appl. Math. 310, 129-142 (2017). MSC: 49N45 49J20 49M25 35R30 49K40 PDFBibTeX XMLCite \textit{J. Haslinger} et al., J. Comput. Appl. Math. 310, 129--142 (2017; Zbl 1347.49052) Full Text: DOI
Caya, P.; Jadamba, B.; Khan, A. A.; Raciti, F.; Winkler, B. An equation error approach for the identification of elastic parameters in beams and plates with \(H_1\) regularization. (English) Zbl 1382.74135 Kozubek, Tomáš (ed.) et al., High performance computing in science and engineering. Second international conference, HPCSE 2015, Soláň, Czech Republic, May 25–28, 2015. Revised selected papers. Cham: Springer (ISBN 978-3-319-40360-1/pbk; 978-3-319-40361-8/ebook). Lecture Notes in Computer Science 9611, 60-67 (2016). MSC: 74S30 74G75 74K10 74K20 PDFBibTeX XMLCite \textit{P. Caya} et al., Lect. Notes Comput. Sci. 9611, 60--67 (2016; Zbl 1382.74135) Full Text: DOI
Jadamba, B.; Kahler, R.; Khan, A. A.; Raciti, F.; Winkler, B. Identification of flexural rigidity in a Kirchhoff plates model using a convex objective and continuous Newton method. (English) Zbl 1394.74100 Math. Probl. Eng. 2015, Article ID 290301, 11 p. (2015). MSC: 74K20 35J40 35R30 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Math. Probl. Eng. 2015, Article ID 290301, 11 p. (2015; Zbl 1394.74100) Full Text: DOI
Khan, Akhtar A.; Tammer, Christiane; Zalinescu, Constantin Regularization of quasi-variational inequalities. (English) Zbl 1337.49005 Optimization 64, No. 8, 1703-1724 (2015). MSC: 49J20 90C33 90C51 PDFBibTeX XMLCite \textit{A. A. Khan} et al., Optimization 64, No. 8, 1703--1724 (2015; Zbl 1337.49005) Full Text: DOI
Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. (English) Zbl 1319.35297 Han, Weimin (ed.) et al., Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications. Cham: Springer (ISBN 978-3-319-14489-4/hbk; 978-3-319-14490-0/ebook). Advances in Mechanics and Mathematics 33, 173-197 (2015). MSC: 35R30 49J40 65N30 92C50 PDFBibTeX XMLCite \textit{M. S. Gockenbach} et al., Adv. Mech. Math. 33, 173--197 (2015; Zbl 1319.35297) Full Text: DOI
Crossen, E.; Gockenbach, M. S.; Jadamba, B.; Khan, A. A.; Winkler, B. An equation error approach for the elasticity imaging inverse problem for predicting tumor location. (English) Zbl 1352.92087 Comput. Math. Appl. 67, No. 1, 122-135 (2014). MSC: 92C55 92C50 35R30 PDFBibTeX XMLCite \textit{E. Crossen} et al., Comput. Math. Appl. 67, No. 1, 122--135 (2014; Zbl 1352.92087) Full Text: DOI
Zhao, Jingjun; Liu, Tao; Liu, Songshu Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method. (English) Zbl 1308.65162 Inverse Probl. Sci. Eng. 22, No. 4, 507-529 (2014). MSC: 65M32 65M06 65T60 PDFBibTeX XMLCite \textit{J. Zhao} et al., Inverse Probl. Sci. Eng. 22, No. 4, 507--529 (2014; Zbl 1308.65162) Full Text: DOI
Doyley, M. M.; Jadamba, B.; Khan, A. A.; Sama, M.; Winkler, B. A new energy inversion for parameter identification in saddle point problems with an application to the elasticity imaging inverse problem of predicting tumor location. (English) Zbl 1296.49032 Numer. Funct. Anal. Optim. 35, No. 7-9, 984-1017 (2014). MSC: 49N45 35R30 65N30 92C50 92C55 PDFBibTeX XMLCite \textit{M. M. Doyley} et al., Numer. Funct. Anal. Optim. 35, No. 7--9, 984--1017 (2014; Zbl 1296.49032) Full Text: DOI
Banerjee, Biswanath; Walsh, Timothy F.; Aquino, Wilkins; Bonnet, Marc Large scale parameter estimation problems in frequency-domain elastodynamics using an error in constitutive equation functional. (English) Zbl 1297.74052 Comput. Methods Appl. Mech. Eng. 253, 60-72 (2013). MSC: 74G75 65N21 PDFBibTeX XMLCite \textit{B. Banerjee} et al., Comput. Methods Appl. Mech. Eng. 253, 60--72 (2013; Zbl 1297.74052) Full Text: DOI Link
Cahill, Nathan D.; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Winkler, Brian C. A first-order adjoint and a second-order hybrid method for an energy output least-squares elastography inverse problem of identifying tumor location. (English) Zbl 1292.35323 Bound. Value Probl. 2013, Paper No. 263, 19 p. (2013). MSC: 35R30 49N45 65N21 65N30 92C55 PDFBibTeX XMLCite \textit{N. D. Cahill} et al., Bound. Value Probl. 2013, Paper No. 263, 19 p. (2013; Zbl 1292.35323) Full Text: DOI
Zhao, Jingjun; Liu, Tao; Liu, Songshu An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation. (English) Zbl 1279.35063 Inverse Probl. Sci. Eng. 21, No. 4, 585-604 (2013). MSC: 35K60 35R30 65M32 76S05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Inverse Probl. Sci. Eng. 21, No. 4, 585--604 (2013; Zbl 1279.35063) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel Generalized solutions of quasi variational inequalities. (English) Zbl 1259.90143 Optim. Lett. 6, No. 7, 1221-1231 (2012). MSC: 90C33 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Optim. Lett. 6, No. 7, 1221--1231 (2012; Zbl 1259.90143) Full Text: DOI
Dinh Nho Hào; Quyen, Tran Nhan Tam Convergence rates for total variation regularization of coefficient identification problems in elliptic equations. II. (English) Zbl 1235.35099 J. Math. Anal. Appl. 388, No. 1, 593-616 (2012). MSC: 35J25 35R30 35R25 47A52 PDFBibTeX XMLCite \textit{Dinh Nho Hào} and \textit{T. N. T. Quyen}, J. Math. Anal. Appl. 388, No. 1, 593--616 (2012; Zbl 1235.35099) Full Text: DOI
Gockenbach, Mark S.; Khan, Akhtar A. An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. (English) Zbl 1197.74048 Math. Mech. Solids 14, No. 6, 517-539 (2009). MSC: 74G75 74B05 74S05 35R30 PDFBibTeX XMLCite \textit{M. S. Gockenbach} and \textit{A. A. Khan}, Math. Mech. Solids 14, No. 6, 517--539 (2009; Zbl 1197.74048) Full Text: DOI
Gockenbach, M. S.; Jadamba, B.; Khan, A. A. Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. (English) Zbl 1258.74087 Inverse Probl. Sci. Eng. 16, No. 3, 349-367 (2008). MSC: 74G75 74B05 PDFBibTeX XMLCite \textit{M. S. Gockenbach} et al., Inverse Probl. Sci. Eng. 16, No. 3, 349--367 (2008; Zbl 1258.74087) Full Text: DOI
Jadamba, B.; Khan, A. A.; Raciti, F. On the inverse problem of identifying Lamé coefficients in linear elasticity. (English) Zbl 1155.74352 Comput. Math. Appl. 56, No. 2, 431-443 (2008). MSC: 74G75 35Q72 35R30 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Comput. Math. Appl. 56, No. 2, 431--443 (2008; Zbl 1155.74352) Full Text: DOI
Khan, A. A.; Rouhani, B. D. Iterative regularization for elliptic inverse problems. (English) Zbl 1151.35102 Comput. Math. Appl. 54, No. 6, 850-860 (2007). MSC: 35R30 65N21 PDFBibTeX XMLCite \textit{A. A. Khan} and \textit{B. D. Rouhani}, Comput. Math. Appl. 54, No. 6, 850--860 (2007; Zbl 1151.35102) Full Text: DOI