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
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
Gibali, A.; Jadamba, B.; Khan, A. A.; Raciti, F.; Winkler, B. Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: a comparative numerical study. (English) Zbl 1354.92041 Mordukhovich, Boris S. (ed.) et al., Nonlinear analysis and optimization. IMU/AMS special session on nonlinear analysis and optimization, Bar-Ilan and Tel-Aviv Universities, Israel, June 16–19, 2014. Workshop on nonlinear analysis and optimization, Technion-Israel Institute of Technology, Haifa, Israel, June 12, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1736-9/pbk; 978-1-4704-1736-9/pbk/ebook). Contemporary Mathematics 659, 65-89 (2016). MSC: 92C55 65N21 90C33 90C29 90C30 PDFBibTeX XMLCite \textit{A. Gibali} et al., Contemp. Math. 659, 65--89 (2016; Zbl 1354.92041) 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
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
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