Akhtar Khan

2015 Submissions

Journal Paper

Khan, Akhtar A. and Dumitru Motreanu. "Existence Theorems for Elliptic and Evolutionary." J Optim Theory Appl 167. (2015): 1136—1161. Print. *

Jadamba, B., et al. "Identification of Flexural Rigidity in a Kirchhoff Plates Model." Mathematical Problems in Engineering ID 290301. (2015): 1--11. Print. *

Khan, Akhtar A., Christiane Tammer, and Constantin Zalinescu. "Regularization of quasi-variational inequalities." Optimization 64. (2015): 1703--1724. Print. *

Bush, Nathan, et al. "Identification Of A Parameter in Fourth-Order Partial Differential Equations By An Equation Error Approach." Mathematica Slovaca 65. (2015): 1--13. Print. *

Book Chapter

Khan, Akhtar A., Elisabeth Koebis, and Christiane Tammer. "Scalarization Methods in Multiobjective Optimization, Robustness, Risk Theory and Finance." Multiple Criteria Decision Making in Finance. Ed. M. Al-Shammari. Berlin, Germany: Springer, 2015. 135-157. Print. *

Gockenbach, M., et al. "Proximal Methods for the Elastography Inverse Problem of Tumor Identification Using an Equation Error Approach." Advances in Variational and Hemivariational Inequalities. Berlin, Germany: Springer, 2015. 169--192. Print. *

Journal Editor

Grecksch, Wilfried, et al, ed. JOTA. New York: Springer, 2015. Print. *

Invited Keynote/Presentation

Khan, Akhtar A. "An Optimization Framework for the Elasticity." Variational Analysis And Applications. International Centre for Scientific Culture "E. Majorana" School of Mathematics "G. Stampacchia". Erice, Italy. 28 Aug. 2015. Conference Presentation. *

Khan, Akhtar A. "Stability of the Elasticity Imaging Inverse Problem." Applied Inverse Problems. Inverse Problems Society. Helsinki, Finland. 25 May 2015. Conference Presentation. *

Khan, Akhtar A. "Computational Methods for Elastography Inverse Problem,." High Performance Computing in Science and Engineering. University of Ostrava. Ostrava, zech Republic. 25 May 2015. Conference Presentation. *

Khan, Akhtar A. "On Evolutionary and Elliptic Quasi Variational Inequalities." The 22nd International Symposium on Mathematical Programming,. Carnegie Mellon University and University of Pittsburgh. Pittsburgh,, USA. 12 Jul. 2015. Conference Presentation. *

Khan, Akhtar A. "Some Aspects of Elastography Inverse Problem." The Modeling and Optimization: Theory and Applications (MOPTA). Lehigh University. Bethlehem, PA. 20 Jul. 2015. Conference Presentation. *

Khan, Akhtar A. "Parameter Identification in Variational Problems,." Recent Developments in Applied Mathematics. Palacky University Olomouc. Palacky, Czech Republic. 2 Feb. 2015. Conference Presentation. *

Khan, Akhtar A. "Heavy Ball with Friction Methods for Inverse Problems." Joint Mathematics Meetings. SIAM/MAA. San Antonio, USA. 10 Jan. 2015. Conference Presentation. *

2012 Submissions

Journal Paper

Khan, Akhtar A. and Doug Ward. "Toward Second-Order Sensitivity Analysis in Set-Valued Optimization." Journal of Nonlinear and Convex Analysis 13. (2012): 65-83. Print. *

Khan, Akhtar A. and M. Sama. "A Multiplier Rule for Stable Problems in Vector Optimization." Journal of Convex Analysis 19. (2012): 525-539. Print. *

Khan, Akhtar A. and M. Sama. "Optimal Control of Multivalued Quasi Variational Inequalities." Nonlinear Analysis 75. (2012): 1419-1428. Print. *

Khan, Akhtar A., B. Jadamba, and M. Sama. "Regularization for State Constrained Optimal Control Problems by Half Spaces Based Decoupling." Systems Control Letters 61. (2012): 707-713. Print. *

Khan, Akhtar A. and D. Motreanu. "Local Minimizers Versus X-Local Minimizers." Optimization Letters 10.1007/s11590-012-0474-8. (2012): 1-7. Web. *

Khan, Akhtar A. and C. Tammer. "Second-Order Optimality Conditions in Set-valued Optimization via Asymptotic Derivatives." Optimization 10.1080/02331934.2012.674948. (2012): 1-16. Web. *

Khan, Akhtar A., et al. "Proximal Point Methods for the Inverse Problem of Identifying Parameters in Beam Models." Emerging Applications of Wavelet Methods 1463. (2012): 16-38. Print. *

Khan, Akhtar A. and C. Tammer. "Generalized Dubovitskii-Milyutin Approach." Vietnam Journal of Mathematics 40. (2012): 285-304. Print. *

Invited Keynote/Presentation

Khan, Akhtar A. "A Convex Optimization Problem in Identifying Tumor Location." The 21st International Symposium on Mathematical Programming. N/A. Berlin, Germany. 19 Aug. 2012. Lecture. ∆

Khan, Akhtar A. "Ill Posed Quasi-Variational Inequalities with Multi-valued Maps." The 6th International Conference on Inverse Problems: Modeling and Simulation. IP. Antalya, Turkey. 21 May 2012. Lecture. ∆

Khan, Akhtar A. "Inverse Problems in Linear Elasticity: Compressible and Incompressible Cases." The fourth International Workshop on Variational Analysis and Applications. Stampacchia School of Mathematics, Erice. Sicily, Italy. 14 May 2012. Lecture. ∆

Khan, Akhtar A. "Conical Regularization for Optimal Control Problems." Invited Talk. University of Catania. Catania, Italy. 3 Mar. 2012. Lecture. ∆

Khan, Akhtar A. "Conical Regularization for Abstract Constrained Optimization Problems in Hilbert Spaces." Joint Mathematics Meetings. AMS/SIAM. Boston, MA. 4 Jan. 2012. Lecture. ∆

2011 Submissions

Journal Paper

Khan, Akhtar A., Baasansuren Jadamba, and Miguel Sama. "Generalized Solutions of Quasi Variational Inequalities." Optimization Letters doi:10.1007/s11590-011-0363-6. (2011): 1-11. Print. * £

Book Chapter

Khan, Akhtar A., Baasansuren Jadamba, and Miguel Sama. "Inverse Problems on Parameter Identification in Partial Differential Equations." Mathematical Methods, Models and Algorithms in Science and Technology. Singapore: World Scientific, 2011. 228- 258. Print. * ∆ £

Invited Keynote/Presentation

Khan, Akhtar A. "Conical Derivatives for Optimization Problems." Applied Inverse Problems. University of Texas at A&M. University of Texas at A&M, College Station, TX. 24 May 2011. Conference Presentation. £

Khan, Akhtar A. "Toward Second-Order Sensitivity Analysis in Set-Valued Optimization." Joint Mathematics Meetings. AMS/MAA. Sheraton, New Orleans, LA. 8 Jan. 2011. Conference Presentation. £

Khan, Akhtar A. "Inverse Problem for Quasi Variational Inequalities." 7th International Congress on Industrial and Applied Mathematics. ICIAM. Vancouver Convention Centre, Vancouver, British Columbia, Canada. 18 Jun. 2011. Conference Presentation. £

2010 Submissions

Formal Presentation

Khan, Akhtar. “Inverse Problems for Variational Equations and Quasi-variational Inequalities.” International Congress of Mathematicians 2010. Hyderabad, India. August 2010. Presentation.

Khan, Akhtar. ”Ill-posed Quasi-Variational Inequalities.” International Conference on Mathematics and Applications. New Delhi, India. 15-17 Aug. 2010. Presentation.

Khan, Akhtar. “Stability Analysis of the Modified Output Least Squares for the Elliptic Inverse Problems.” Satellite Conference on Inverse Problems. New Delhi, India. 14 Aug. 2010. Presentation.

Khan, Akhtar. “Numerical Methods for Elliptic Inverse Problems.” International Conference on Optimization, Simulation and Control. Ulannbaatar, Mongolia. 25-28 July 2010. Presentation.

Published Article

Khan, Akhtar, B. Jadamba, M.S. Gockenbach. “A Comparative Numerical Study of Optimization Approaches for elliptic Inverse Problems.” JMI International Journal of Mathematical Sciences, 1 (2010): 1-20. Print. *

Khan, Akhtar, B. Jadamba, B.D. Rouhani, F. Raciti. “Generalized solutions of multi-valued monotone quasi variational inequalities.” Optimization and Optimal Control: Theory and Applications, 2010. 227-240. Print. *