Publications
- Shafie, A., F. Bozorgnia,
A Note on "Optimality Conditions for Vector Optimization Problems with Difference of convex map".
Journal of Optimization Theory and Applications(2019). https://doi.org/10.1007/s10957-019-01530-x.
- A space- time
pseudospectral discretization method for solving the optimal control of diffusion equation with two-side
fractional derivatives.
(Joint with M. Salh Ali, M. Shamsi, H. Khosravian-Arab, D. F. M. Torres) Journal of Vibration and Control, (2018).
- Optimal shape design for a p-Laplace eigenvalue problem(Joint with Abbas Mohammadi)
Journal of Scientific Computing, (2018). DOI: 10.1007/s10915-018-0806-7.
- An advection-diffusion
system arising in contaminant transport problems.(Joint with M. N. Baia, J. Videman, and L. Monsaingeon)
J. Math.Anal.Appl.457, (2018) 77-103.
- A free boundary problem for a predator-prey model with nonlinear prey-taxis(Joint with Mohsen Yousefnezhad Mohsen, Seyyed Abbas Mohammadi)
Applications of Mathematics 63, (2018) 125-147.
- Uniqueness result for long range spatially segregation elliptic system.
Acta Appl Math (2017). https://doi.org/10.1007/s10440-017-0129-y.
- Extragradient Methods for Differential
Variational Inequality and Linear Complementarity Systems.( Joint with S. Z. Fatemia, and M. Shamsi)
Mathematical Methods in the Applied Sciences: DOI:10.1002/mma.4523
- On the uniqueness of the limiting solution to a strongly competing system.
(Joint with Avetik Arakelyan)
Electronic Journal of Differential Equations, 96, (2017) 1-8.
- A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate.
(Joint with Jan Valdman).
Computers and Mathematics with Applications, 73, (2017) 419-432.
- Convergence of inverse power method for first eigenvalue of p-Laplace operator.
Aug 2016 · Numerical Functional Analysis and Optimization
- Optimal partitions for first eigenvalues of the Laplace operator.
Published online: 14 OCT 2014, NMPDE, DOI: 10.1002/num.21927.
- Numerical approximation of multi phase quadrature
domains(joint with R. Bazarganzadeh).
Int. J. Numer. Anal. Model. 11 (2014), no. 4, 726–744.
- Numerical Algorithms for a Variational Problem of the Spatial Segregation of Reaction-Diffusion Systems.
(with Avetik Arakelyan ) Appl. Math. Comput. 219 (2013), no. 17, 8863–8875.
- Numerical approximation of the one phase quadrature
domains(joint with R. Bazarganzadeh).
Numerical Methods for Partial Differential Equations(NMPDE), 2013, Vol. 29, No. 5, pp 1709-1728.
- Perturbation Formula For Two-Phase Obstacle Problem.
Advances in Difference Equations 2011.
- Numerical approximations of the two-phase membrane Problem.
Applied Numerical Mathematics Volume 61 Issue 1, January, 2011.
- Numerical Solutions of the m-membrane problem.
Commun Nonlinear Sci Numer Simulat 16 (2011) 3475-3485.
- Numerical algorithms for the spatial segregation of competitive systems.
SIAM J. Sci. Comput. 31 (2009), no. 5, 3946–3958.
- Introduction Chapter of PhD Thesis: Numerical Algorithms for Free Boundary Problems of Obstacle types.