[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)
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[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)
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[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)
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[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).
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[15]
Mohamed Sulman, JF Williams, and Bob Russell,
"Monge-Kantorovich Approach for Grid Generation", AIP
Conference Proceedings , Vol. 1168, pp. 25--28 (2009).
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[16]
Mohamed Mahmoud, "Fluid dynamics equations viewed
from Euler K functional equation", Acta Anal.
Funct. Appl. Vol. 2, No. 3, pp. 206--214 (2000).
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[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).
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