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
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
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
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
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
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
Cho, M.; Jadamba, B.; Kahler, R.; Khan, A. A.; Sama, M. First-order and second-order adjoint methods for the inverse problem of identifying non-linear parameters in pdes. (English) Zbl 1396.49028 Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 147-163 (2017). MSC: 49M30 65M32 49J40 PDFBibTeX XMLCite \textit{M. Cho} et al., in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 147--163 (2017; Zbl 1396.49028) 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
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
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
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
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