| 21 | A comparison of the continuous and discrete adjoint approach extended based on the standard lattice Boltzmann method in flow field inverse optimization problems | M. H. Hekmat, M. Mirzaei | Acta Mechanica | 2016 |
| 22 | Extraction of macroscopic and microscopic adjoint concepts using a lattice Boltzmann method and discrete adjoint approach | M. H. Hekmat, M. Mirzaei | Physical Review E | 2015 |
| 23 | Continuous and discrete adjoint approach based on lattice Boltzmann method in aerodynamic optimization part I: mathematical derivation of adjoint lattice Boltzmann equations | M. H. Hekmat, M. Mirzaei | Advances in Applied Mathematics and Mechanics | 2014 |
| 24 | Development of discrete adjoint approach based on the lattice Boltzmann method | M. H. Hekmat, M. Mirzaei | Advances in Mechanical Engineering | 2014 |
| 25 | Numerical simulation of non-Fourier effects in combined heat transfer | E. Izadpanah, S. Talebi, M. H. Hekmat | Proceedings of Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science | 2011 |
| 26 | Investigation of the adjoint method in aerodynamic optimization using various shape parameterization techniques | E. Sharifi Tashnizi, A. Akhavan Taheri, M. H. Hekmat | Journal of the Brazilian Society of Mechanical Sciences and Engineering | 2010 |
| 27 | Numerical investigation of adjoint method in aerodynamic optimization | M. H. Hekmat, M. Mirzaei, E. Izadpanah | Mechanical and Aerospace Engineering Journal (Fluids & Aerodynamics) | 2009 |
| 28 | Constrained and non-constrained aerodynamic optimization using the adjoint equations approach | M. H. Hekmat, M. Mirzaei, E. Izadpanah | Journal of Mechanical Science and Technology | 2009 |
| 29 | Numerical analysis on temperature distribution around a moving heat source using non-Fourier heat conduction | E. Izadpanah, S. Talebi, M. H. Hekmat, A. Akhavan Taheri Borojeni | International Journal of Theoretical and Applied Mechanics | 2009 |
| 30 | Heat transfer in semitransparent medium caused by laser pulse | E. Izadpanah, S. Talebi, M. H. Hekmat, A. Akhavan Taheri Borojeni | International Journal of Industrial Engineering & Production Research | 2008 |