# Homepage Zakaria Belhachmi
![](https://codimd.math.cnrs.fr/uploads/upload_be0f6e33d4b54b66acfe645edf39ecce.png =200x200)
## Professor at University of Upper Alsace
:::info
Dept. Math., IRIMAS, université de Haute Alsace,
12 rue des Frères Lumière,
68 093 MULHOUSE Cedex
zakaria.belhachmi.at.uha.fr
:::
## (Subjective) Selected papers
* [Shape optimisation](https://onlinelibrary.wiley.com/doi/10.1002/zamm.202200156)
* [Learning for image analysis](https://doi.org/10.1007/s10489-024-05585-w)
* [Gradient systems](https://link.springer.com/article/10.1007/BF03377365)
* [Inverse problems](https://https://hal.science/hal-03640866v1)
* [Spectral shape optimization](https://onlinelibrary.wiley.com/doi/10.1002/zamm.200510259)
* [FEM in Fluid mechanics](https://link.springer.com/article/10.1007/s00211-006-0039-9)
## Research topics and interests
**PDEs**
* Gradient systems
* calculus of variations
**list of key words**
> Image analysis,
> inverse problems,
> shape optimization,
> Fluid, structural mechanics,
> variational inequalities,
**Numerical analysis**
* a priori error estimates, convergence analysis
* a posteriori analysis
* Finite elements method
* Spectral methods
**list of key words**
> adaptive methods,
> error estimators for automatic modeling
> domain decomposition method
**Computing**
* implementing variational methods
* parallel computing
* numerical algebra
**list of key words**
> FreeFem++
> spectral methods
> mortar elements
**Applications**
* Fluid mechanics (Navier-Stokes, Darcy), structural mechanics (Linear and Nonlinear elasticity), variational inequalities (Signorini problems)
* Computer vision, restoration/inpainting
* Photo-acoustic and optical-acoustic imaging, (geometric) defects identification
## Publications
[publist-pdf-](https://plmbox.math.cnrs.fr/f/7d8113ebca5243ba86e8/)
## Teaching activities
(in progress)
* [Lecture on Deterministic and stochastic optimal control](https://plmbox.math.cnrs.fr/f/24ff42921b0d4b179ea6/)
# Links
* [Socot](https://codimd.math.cnrs.fr/s/vKWD_JtAu#)
* [Workshop](https://indico.math.cnrs.fr/event/9359/)
* [Workgroup](https://irimas.math.cnrs.fr/groupe-parabolique/)