| [1] M. Sulman, T. Ngyuen, R. Haynes, Weizhang Huang, "Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Monving Meshes", Comput. Math. Appl., Vol. 84, pp. 97--111, DOI: 10.1016/j.camwa.2020.12.007, (2021) |
| [2] M. Sulman, T. Ngyuen, "A Positivity Preserving Adaptive Moving Mesh Method for Cancer Cell Invasion Models", J. Comput. Appl. Math., Vol. 361, pp. 487--501, DOI: 10.1016/j.cam.2019.05.011, (2019) |
| [3] M. Sulman, T. Ngyuen, "A Positivity Preserving Moving Mesh Finite Element Method for the Keller-Segel Chemotaxis Model", J. Sci. Comput., Vol. 80, No. 1, pp. 649--666, DOI: 10.1007/s10915-019-00951-0, (2019) |
| [4] Henry Chang, Helga S. Huntley, A. D. Kirwan, B. L. Lipphardt Jr., and Mohamed H. M. Sulman, "Transport structures in a 3D periodic flow", Commun. Nonlinear Sci. Numer. Simulat., Vol. 61, pp. 84 -- 103 (2018). |
| [5] Mohamed M. Sulman, "A Comparison Study of Parabolic Monge-Ampère Equations Adaptive Grid Methods", Boundary and Interior Layers Computational and Asymptotic Methods BAIL 2016, Springer Lect. Notes Comp. Sci. Eng., Vol. 120 , 183 --196 (2017). |
| [6] Mohamed M. Sulman, "Optimal mass transport-based adaptive mesh method for phase-field models of two-phase fluid flows", Comput. Math. Appl., Vol. 72, No. 2, pp. 2181 - 2193 (2016). |
| [7] Mohamed M. Sulman, David F. Miller, and Gregory Kozlowski, "Nonlinear Model for Magnetic Nanoparticle-Based Hyperthermia", Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 6, No. 3, pp. 223 --234 (2015). |
| [8] Rengmao Wu, Yaqin Zhang, Mohamed M. Sulman, Zhenrong Zheng, Pablo Benítez, and Juan C. Miñano, "Initial design with L2 Monge-Kantorovich theory for the Monge-Ampère equation method in freeform surface illumination design", Opt. Express, Vol. 22, Iss. 13, pp. 16161 --16177 (2014). |
| [9] Mohamed H. M. Sulman, H. S. Huntley, B. L. Lipphardt Jr., G. Jacobs, P. Hogan, and A. D. Kirwan, "Hyperbolicity in temperature and flow fields during the formation of a Loop Current ring", Nonlin. Processes Geophys., Vol. 20, No. 5, pp. 883--892, (2013). |
| [10] M. H. M. Sulman, H. S. Huntley, B. L. Lipphardt and A. D. Kirwan, "Leaving Flatland: Diagnostics for Lagrangian Coherent Structures in Three-Dimensional Flows", Physica D , Vol. 258, pp. 77 -- 92 (2013). |
| [11] M. H. M. Sulman, H. S. Huntley, B. L. Lipphardt and A. D. Kirwan, "Out of Flatland: Three-Dimensional Aspects of Lagrangian Transport in Geophysical Fluids", Geophys. Monogr. Ser. , pp. 77--84, (2013). |
| [12] Mohamed Sulman, JF Williams, and Bob Russell, "Optimal Mass transport Approach for Higher Dimensional Adaptive Grid Generation", J. Comput. Phys., Vol. 230, pp. 3302--2330, (2011). |
| [13] Mohamed Sulman, JF Williams, and Bob Russell, "An Efficient Approach for the Numerical Solution of the Monge-Ampère Equation", Appl. Numer. Math., Vol. 61, pp. 298--307 (2011). |
| [14] Mohamed Sulman, JF Williams, Faisal Beg and Bob Russell, "Volumetric Image Registration Methods Based on Solving the Monge-Ampère Equation", Canadian Appl. Math. Quarterly, Vol. 17, No. 3, pp. 585--614 (Fall 2009). |
| [15] Mohamed Sulman, JF Williams, and Bob Russell, "Monge-Kantorovich Approach for Grid Generation", AIP Conference Proceedings , Vol. 1168, pp. 25--28 (2009). |
| [16] Mohamed Mahmoud, "Fluid dynamics equations viewed from Euler K functional equation", Acta Anal. Funct. Appl. Vol. 2, No. 3, pp. 206--214 (2000). |
| [17] Mohamed Mahmoud, "A functional equation governing the motion of a compressible fluid flow", Tsinghua Sci. Technol. Vol. 5, No. 2, pp. 154--158 (2000). |