Mahboub’s Publications

 

Book Chapters:

 

1.     Adjerid, S. and Baccouch, M., Adaptivity and error estimation for discontinuous Galerkin methods, 2012 Barrett Lectures, The IMA Volumes in Mathematics and its Applications, Vol. 157, 33 pages, Springer, 2013.

 

Publications in Refereed Journals (Appeared or Accepted): 

 

1.     Baccouch, M., A posteriori discontinuous Galerkin error estimates for nonlinear scalar conservation laws in one space dimension.  Applied Numerical Mathematics, 2014. To appear.

2.     Baccouch, M., Superconvergence of the local discontinuous Galerkin method applied to the one-dimensional second-order wave equation. Numerical methods of partial differential equations 30 (2014) 862-901.

3.     Baccouch, M., Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems. Applied Mathematics and Computation, (226), (2014), 455-483.

4.     Baccouch, M., Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory. Accepted. International Journal of Numerical Analysis and Modeling, Series B, 2014.

5.     Baccouch, M., Superconvergence and A posteriori error estimates for the local discontinuous Galerkin method for convection-diffusion problems in one space dimension.  Computers and Mathematics with applications. In Press, 2014.

6.     Baccouch, M., The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. Part I: Superconvergence error analysis. To appear in Journal of Scientific Computing, 2013. DOI: 10.1007/s10915-013-9782-0

7.     Baccouch, M., The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. Part II: A posteriori error estimation.  To appear in Journal of Scientific Computing, 2013. DOI: 10.1007/s10915-013-9783-z.

8.     Baccouch, M.,  Global convergence of a posteriori error estimates for a discontinuous Galerkin method for one-dimensional linear hyperbolic problems. International Journal of Numerical Analysis and Modeling, 2014, Volume 11, Number 1, Pages 172-193.

9.     Baccouch, M., A local discontinuous Galerkin method for the second order wave equation. Computer Methods in Applied Mechanics and Engineering, 2012, Volumes 209-212, pp. 129-143.

10.                        Adjerid, S., and Baccouch, M., A Superconvergent Local Discontinuous Galerkin method for elliptic problems. Journal of Scientific Computing, 2012, Volume 52, Issue 1, Pages 113-152.

11.                        Baccouch, M. and Adjerid, S., Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes. Computer Methods in Applied Mechanics and Engineering, 2010, Volume 200, Issue 1-4,  Pages  162-177.

12.                        Adjerid, S. and Baccouch, M.,  Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem. Journal of Applied Numerical Mathematics, 2010, Volume 60, Issue 9,  Pages  903-914.

13.                        Adjerid, S. and Baccouch, M., The Discontinuous Galerkin Method for Two Dimensional Hyperbolic Problems. Part II: A posteriori Error Estimation, Journal of Scientific Computing, 2008, vol. 38, no. 1, pp. 15-49.

14.                        Adjerid, S. and Baccouch, M. The Discontinuous Galerkin Method for Two Dimensional Hyperbolic Problems. Part I: Superconvergence Error Analysis. Journal of Scientific Computing, 2007, vol. 33, no. 1, pp. 75-113.

15.                        Baccouch, M., Choura, S., El-Borgi S. and Nayfeh, A., Selection of Physical and Geometrical Properties for the Confinement of Vibrations in Non-Homogeneous Beams, ASCE Journal of Aerospace Engineering, 19, 158 (2006).

16.                        El-Borgi, S., Choura, S., Ventura, C. and Baccouch, M., Modal Identification and Model Updating of a Reinforced Concrete Bridge, International Journal of Smart Structures and Systems, 1(1): 83-101, 2005.

 

Encyclopedia articles

 

1.     Adjerid, S. and Baccouch, M., Galerkin methods for parabolic problems.  Scholarpedia 5(10): 10056 (2010), http://www.scholarpedia.org/article/Galerkin_methods.

 

Preprint (Articles under review):  

 

1.     Baccouch, M., A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids.

2.     Adjerid, S. and Baccouch, M., A Posteriori local discontinuous Galerkin error estimation for two-dimensional convection-diffusion problems. 

3.     Baccouch, M., Asymptotically exact a posteriori error estimates for the one-dimensional second-order wave equation. 

4.     Baccouch, M., Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension. 

5.     Baccouch, M., and Temimi, H., A superconvergent discontinuous Galerkin method for convection-diffusion problems in one space dimension.

6.     Baccouch, M., Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations.

Articles and work in progress

1.     Baccouch, M., Optimal superconvergence of local discontinuous Galerkin method for one-dimensional wave equation.

2.     Baccouch, A superconvergent local discontinuous Galerkin method for solving the second-order wave equation on triangular meshes: Superconvergence and a posteriori error estimation.

3.     Baccouch, M., A posteriori error estimates for the local discontinuous Galerkin method for convection-diffusion problems on triangular meshes.

4.     Baccouch, M., The discontinuous Galerkin method for linear symmetric hyperbolic systems on triangular meshes.

5.     Baccouch, M., Optimal superconvergence of the discontinuous Galerkin method for two-dimensional hyperbolic problems.

6.     Baccouch, M., Asymptotically exact discontinuous Galerkin error estimates for two-dimensional hyperbolic problems. 

7.     Baccouch, M., Error Estimation and Adaptivity for the local discontinuous Galerkin method.

Thesis

1.     M. Baccouch, Superconvergence and a posteriori error estimation for the discontinuous Galerkin method applied to hyperbolic problems on triangular meshes, Ph.D Thesis, Mathematics, Virginia Tech, 2008.

 

2.     M. Baccouch, Selection of physical and geometrical properties for the confinement of vibrations in nonhomogeneous beams, M.S. Thesis, Tunisia polytechnic school, 2004.


Last modified Fall, 2013

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