Zakaria Belhachmi
Professor. University of Haute Alsace.
Laboratoire De
Mathématiques, Informatique et Applications (LMIA),
EA CNRS,
Université de Haute Alsace,
Rue des Frères
Lumière,
68096
Mulhous.
Phone number:
03 89 33 64 23
Fax :
03 89 33 66 53
E-mail
zakaria.belhachmi@uha.fr
Recent
publications
Spectral
Element Discretization of the Stokes Equations in Deformed Axisymmetric
Geometries
(With A. Karageorghis).
Adaptive
Finite Elements for a Fictitious Domain Formulation of Some
Variational Inequalities (with
F. Hecht) Preprint
LMAM
Control of
the Effects of
the Regularization on Variational Optic Flow Computations (with
F. Hecht) To
appear In Journal of Mathematical Imaging and Vision, Springer-Verlag.
On
a Decomposition Model for Optical Flow and Stereo-Vision Problems (with
J. Abhau, O. Scherzer) In EMMCVPR '09: Proceedings of the 7th
Conference on Energy
Minimization Methods in Computer Vision and Pattern Recognition, volume 5681, pages 126-139, Berlin,
Heidelberg, 2009. Springer-Verlag.
How to Choose
Interpolation Data in Images (with
D. Bucur, B. Burgeth, J.
Weickert).
SIAM J. Appl. Math.
70
(2009),
no.
1, 333--352.
Locking-Free
Finite Elements for
some Unilateral Crack Problems in the Linearized Elasticity (with
J.M.
Sac-Épée, S. Tahir). Math.
Model. Nat. Phen., Vol. 4 no. 1
,(2009),
1-21.
Mortar
Spectral Element Discretization of Nonhomogeneous and Anisotropic
Laplace and
Darcy Equations
(With C.
Bernardi, A. Karageorghis). M2AN, 41, 4
(2007), 801-824.
Stability
and Uniqueness for
the Crack Identification Problem. (With
D. Bucur), Siam J.
Control. Optim. 46, 1
(2007), 253-273)
Spectral
mortar element
discretization of the Poisson equation with mixed boundary conditions.
(With
A. Karageorghis). J.
Scientific Computing, 30, 2 (2007), 275-299.
Finite
Element
Approximation of the Neumann Eigenvalue Problems in Domains with
Multiple Cracks. (With D.
Bucur, J.M. Sac-Epée). IMA J.
Numer. Anal., 26, 4 (2006), 790-810.
Weighted Clément Operator
and Application to the Finite Element Discretization of the
Axisymmetric Stokes Problem. (With
C. Bernardi, S. Deparis). Numer.
Math., 105, 2 (2006), 217-247.
Identification
and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element
Method. (With A.
Karageorghis, K. Taous). J.
Scientific Computing, 27, 1-3 (2006),
111-122.
An
Efficient Discretization of the Navier-Stokes Equations in an
Axisymmetric Domain.
(With C. Bernardi, S. Deparis, F.
Hecht). J.
Scientific Computing, 27, 1-3
(2006),
97-110.
A truncated
Fourier/finite element discretization of the Stokes equations in
an axisymmetric domain. (With
C. Bernardi, S. Deparis, F. Hecht). M3AS
16, 2
(2006),
233–263.
Shape Optimization Problems for Eigenvalues of
Elliptic Operators.
(With
D. Bucur,
G.
Buttazzo, J.M. Sac-Épée). Z. Angew.
Math. Mech. 86, 3, (2006),
171–184.
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