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Anil Hirani

Profile picture for Anil  Hirani

Contact Information

Department of Mathematics
375 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Professor

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

Additional Campus Affiliations

Professor, Mathematics

Honors & Awards

NSF CAREER Award, "Algebraic Topology and Exterior Calculus in Numerical Analysis," 2007–2012

Recent Publications

Hirani, A. N., Kalyanaraman, K., Wang, H., & Watts, S. (2023). Computing discrete harmonic differential forms in a given cohomology class using finite element exterior calculus. Computational Geometry: Theory and Applications, 109, Article 101937. https://doi.org/10.1016/j.comgeo.2022.101937

Wang, M., Jagad, P., Hirani, A. N., & Samtaney, R. (2023). Discrete exterior calculus discretization of two-phase incompressible Navier-Stokes equations with a conservative phase field method. Journal of Computational Physics, 488, Article 112245. https://doi.org/10.1016/j.jcp.2023.112245

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

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