Contact Information
375 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
Geometry and Topology (applied and computational), Numerical Analysis, Computational Physics.
Education
PhD, Caltech, 2003
Awards and Honors
NSF CAREER Award, "Algebraic Topology and Exterior Calculus in Numerical Analysis," 2007–2012
External Links
Recent Publications
Karve, V., & Hirani, A. N. (2020). The complete set of minimal simple graphs that support unsatisfiable 2-CNFs. Discrete Applied Mathematics, 283, 123-132. https://doi.org/10.1016/j.dam.2019.12.017
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2018). Numerical convergence of discrete exterior calculus on arbitrary surface meshes. International Journal for Computational Methods in Engineering Science and Mechanics, 19(3), 194-206. https://doi.org/10.1080/15502287.2018.1446196
Dziubek, A., Guidoboni, G., Harris, A., Hirani, A. N., Rusjan, E., & Thistleton, W. (2016). Effect of ocular shape and vascular geometry on retinal hemodynamics: a computational model. Biomechanics and Modeling in Mechanobiology, 15(4), 893-907. https://doi.org/10.1007/s10237-015-0731-8
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2016). Comparison of discrete Hodge star operators for surfaces. CAD Computer Aided Design, 78, 118-125. https://doi.org/10.1016/j.cad.2016.05.002
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2016). Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes. Journal of Computational Physics, 312, 175-191. https://doi.org/10.1016/j.jcp.2016.02.028