Mahboub’s Publications

 

 

Book Chapters:

 

1.     S. Adjerid, M. Baccouch, Adaptivity and error estimation for discontinuous Galerkin methods, in: X. Feng, O. Karakashian, Y. Xing (eds.), Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, vol. 157 of The IMA Volumes in Mathematics and its Applications, Springer International Publishing, 2014, pp. 63-96.

 

 

Publications in Refereed Journals (Appeared or Accepted): 

 

2.     M. Baccouch, A posteriori error estimates for a discontinuous Galerkin method applied to one-dimensional nonlinear scalar conservation laws, Applied Numerical Mathematics 84 (2014) 1-21.

 

3.     M. Baccouch, S. Adjerid, A Posteriori local discontinuous Galerkin error estimation for two-dimensional convection-diffusion problems.  Journal of Scientific Computing (2014), DOI 10.1007/s10915-014-9861-x.  

 

4.     M. Baccouch, Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory, International Journal of Numerical Analysis and Modeling, Series B 5 (2014) 256-284.

 

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

 

6.     M. Baccouch, 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. 

 

7.     M. Baccouch, 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 67 (2014) 1130-1153. 

 

8.     M. Baccouch, The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. Part I: Superconvergence error analysis, Journal of Scientific  59 (2014) 795-840.

 

9.     M. Baccouch, The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. Part II: A posteriori error estimation, Journal of Scientific Computing 60 (2014) 1-34.

 

10.                        M. Baccouch, 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 11 (2014) 172-193.   

 

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

 

12.                        S. Adjerid, M. Baccouch, A Superconvergent Local Discontinuous Galerkin method for elliptic problems. Journal of Scientific Computing 52 (2012) 113-152.   

 

13.                        M. Baccouch, S. Adjerid, Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes. Computer Methods in Applied Mechanics and Engineering 200 (2010) 162-177.

 

14.                        S. Adjerid, M. Baccouch, Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem, Applied Numerical Mathematics 60 (2010) 903-914.

 

15.                        S. Adjerid, M. Baccouch, The discontinuous Galerkin method for two-dimensional hyperbolic problems. Part II: A posteriori error estimation, Journal of Scientific Computing 38 (2009) 15-49.

 

16.                        S. Adjerid, M. Baccouch, The discontinuous Galerkin method for two-dimensional hyperbolic problems. Part I: Superconvergence error analysis, Journal of Scientific Computing 33 (2007) 75-113.

 

17.                         M. Baccouch, S. Choura, S. El-Borgi, A. Nayfeh, Selection of Physical and Geometrical Properties for the Confinement of Vibrations in Non-Homogeneous Beams,  Journal of Aerospace Engineering 19 (2006) 158-168.  

 

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

 

 

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.     M. Baccouch, A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids. Submitted, 2013.

2.     M. Baccouch, Asymptotically exact  a posteriori error estimates for the one-dimensional second-order wave equation. Submitted, 2013.

3.     M. Baccouch, Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension. Submitted, 2013.

4.     M. Baccouch, H. Temimi, Analysis of optimal error estimates and superconvergence of the discontinuous Galerkin method for convection-diffusion problems in one space dimension. Submitted, 2014. 

5.     M. Baccouch, Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations. Submitted, 2013.

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 Spring, 2014

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