Mahboub Baccouch, PhD

Associate Professor

  • 404 Citations
  • 13 h-Index
20052020
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Research Output 2005 2020

  • 404 Citations
  • 13 h-Index
  • 47 Article
  • 1 Conference contribution
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Article
2020
Local Discontinuous Galerkin Method
A Posteriori Error Analysis
Sine-Gordon Equation
Galerkin methods
Error analysis
2019

An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Baccouch, M., Jan 1 2019, (Accepted/In press) In : Numerical Algorithms.

Research output: Contribution to journalArticle

Local Discontinuous Galerkin Method
Nonlinear Boundary Value Problems
Galerkin methods
Two-point Boundary Value Problem
Boundary value problems
Open Access
Local Discontinuous Galerkin Method
Discontinuous Galerkin
Superconvergence
Galerkin methods
Two-point Boundary Value Problem

An iterative finite difference method for approximating the two-branched solution of Bratu's problem

Ben-Romdhane, M., Temimi, H. & Baccouch, M., May 2019, In : Applied Numerical Mathematics. 139, p. 62-76 15 p.

Research output: Contribution to journalArticle

Finite difference method
Ordinary differential equations
Difference Method
Finite Difference
Branch
Local Discontinuous Galerkin Method
Fourth-order Boundary Value Problem
Nonlinear Boundary Value Problems
Galerkin methods
Boundary value problems
Chebyshev's Method
Pseudospectral Method
Burgers Equation
Numerical methods
Numerical Methods

Optimal error estimates and superconvergence of an ultra weak discontinuous Galerkin method for fourth-order boundary-value problems

Baccouch, M., Temimi, H. & Ben-Romdhane, M., Mar 2019, In : Applied Numerical Mathematics. 137, p. 91-115 25 p.

Research output: Contribution to journalArticle

Fourth-order Boundary Value Problem
Optimal Error Estimates
Discontinuous Galerkin
Superconvergence
Discontinuous Galerkin Method
sine-Gordon equation
Local Discontinuous Galerkin Method
Cartesian Grid
Sine-Gordon Equation
Optimal Error Estimates
1 Citation (Scopus)
Local Discontinuous Galerkin Method
Discontinuous Galerkin
Superconvergence
Galerkin methods
Derivatives
2018
3 Citations (Scopus)
sine-Gordon equation
Sine-Gordon Equation
Discontinuous Galerkin
Error Estimates
Superconvergence
Local Discontinuous Galerkin Method
Additive noise
Additive Noise
Galerkin methods
Two-point Boundary Value Problem
4 Citations (Scopus)

A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Baccouch, M., Nov 1 2018, In : Numerical Algorithms. 79, 3, p. 697-718 22 p.

Research output: Contribution to journalArticle

Local Discontinuous Galerkin Method
Discontinuous Galerkin
Nonlinear Boundary Value Problems
Galerkin methods
Two-point Boundary Value Problem
Local Discontinuous Galerkin Method
Convection-diffusion
Discontinuous Galerkin
Galerkin methods
Error Estimates
5 Citations (Scopus)
sine-Gordon equation
Local Discontinuous Galerkin Method
Sine-Gordon Equation
Discontinuous Galerkin
Superconvergence
2017
1 Citation (Scopus)
Multiple Roots
Nonlinear Algebraic Equations
High-order Methods
Nonlinear equations
Numerical methods
2 Citations (Scopus)
Local Discontinuous Galerkin Method
Optimal Error Estimates
A Posteriori Error Estimates
Galerkin methods
Wave equations
1 Citation (Scopus)
A Posteriori Error Estimators
Discontinuous Galerkin
Initial value problems
A Posteriori Error Estimates
Adaptivity
1 Citation (Scopus)
Cartesian Grid
A Posteriori Error Estimators
Hyperbolic Conservation Laws
Discontinuous Galerkin Method
Galerkin methods
2 Citations (Scopus)
Cartesian Grid
Hyperbolic Conservation Laws
Superconvergence
Error Estimator
Discontinuous Galerkin Method
6 Citations (Scopus)
sine-Gordon equation
Local Discontinuous Galerkin Method
Sine-Gordon Equation
Galerkin methods
Derivatives
4 Citations (Scopus)
Discontinuous Galerkin
Superconvergence
Initial value problems
Discontinuous Galerkin Method
Piecewise Polynomials
2 Citations (Scopus)
sine-Gordon equation
Local Discontinuous Galerkin Method
Cartesian Grid
Sine-Gordon Equation
Superconvergence
10 Citations (Scopus)
Discontinuous Galerkin
A Posteriori Error Estimates
Discontinuous Galerkin Method
Galerkin methods
Nonlinear Ordinary Differential Equations
2 Citations (Scopus)
Optimal Error Estimates
Convection-diffusion Problems
Discontinuous Galerkin
Superconvergence
Discontinuous Galerkin Method
4 Citations (Scopus)
A Posteriori Error Analysis
Cartesian Grid
Hyperbolic Conservation Laws
Discontinuous Galerkin Method
Galerkin methods
6 Citations (Scopus)
Local Discontinuous Galerkin Method
Optimal Error Estimates
Convection-diffusion Problems
A Posteriori Error Estimates
Galerkin methods
2 Citations (Scopus)
Scalar Conservation Laws
Error Estimator
Discontinuous Galerkin Method
Galerkin methods
Conservation
2015
9 Citations (Scopus)
Discontinuous Galerkin
Wave equations
Second Order Equations
Local Discontinuous Galerkin Method
Error Estimates
6 Citations (Scopus)
Korteweg-de Vries equation
Discontinuous Galerkin
Korteweg-de Vries Equation
Error Estimates
Local Discontinuous Galerkin Method
2 Citations (Scopus)
Cartesian Grid
Hyperbolic Problems
Directional derivative
Superconvergence
A Posteriori Error Estimates
2014
13 Citations (Scopus)
Scalar Conservation Laws
A Posteriori Error Estimates
Discontinuous Galerkin Method
Galerkin methods
Error Estimates
10 Citations (Scopus)

A Posteriori Local Discontinuous Galerkin Error Estimation for Two-Dimensional Convection–Diffusion Problems

Baccouch, M. & Adjerid, S., Jan 1 2014, In : Journal of Scientific Computing. 62, 2, p. 399-430 32 p.

Research output: Contribution to journalArticle

Convection-diffusion
Discontinuous Galerkin
Error Estimation
Error analysis
A Posteriori Error Estimates
14 Citations (Scopus)
Local Discontinuous Galerkin Method
Cartesian Grid
Galerkin methods
Wave equations
Second Order Equations
23 Citations (Scopus)
Convection-diffusion Problems
Discontinuous Galerkin
Error Estimates
Error term
Converge
13 Citations (Scopus)
Hyperbolic Problems
A Posteriori Error Estimates
Discontinuous Galerkin Method
Order of Convergence
Galerkin methods
14 Citations (Scopus)
Local Discontinuous Galerkin Method
Convection-diffusion Problems
Superconvergence
A Posteriori Error Estimates
Galerkin methods
15 Citations (Scopus)
Local Discontinuous Galerkin Method
Superconvergence
Galerkin methods
Wave equations
Second Order Equations
14 Citations (Scopus)
Local Discontinuous Galerkin Method
Superconvergence
Galerkin methods
Bernoulli
Error Analysis
11 Citations (Scopus)
Local Discontinuous Galerkin Method
A Posteriori Error Estimation
Galerkin methods
Bernoulli
Error analysis
2012
38 Citations (Scopus)

A local discontinuous Galerkin method for the second-order wave equation

Baccouch, M., Feb 1 2012, In : Computer Methods in Applied Mechanics and Engineering. 209-212, p. 129-143 15 p.

Research output: Contribution to journalArticle

Galerkin method
Galerkin methods
Wave equations
wave equations
polynomials
26 Citations (Scopus)

A superconvergent local discontinuous Galerkin method for elliptic problems

Adjerid, S. & Baccouch, M., Jul 1 2012, In : Journal of Scientific Computing. 52, 1, p. 113-152 40 p.

Research output: Contribution to journalArticle

Local Discontinuous Galerkin Method
Galerkin methods
Elliptic Problems
Polynomials
Polynomial
2011
26 Citations (Scopus)

Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes

Baccouch, M. & Adjerid, S., Jan 1 2011, In : Computer Methods in Applied Mechanics and Engineering. 200, 1-4, p. 162-177 16 p.

Research output: Contribution to journalArticle

Error analysis
mesh
error analysis
coefficients
estimates
2010
31 Citations (Scopus)

Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem

Adjerid, S. & Baccouch, M., Sep 1 2010, In : Applied Numerical Mathematics. 60, 9, p. 903-914 12 p.

Research output: Contribution to journalArticle

Hyperbolic Problems
A Posteriori Error Estimates
Discontinuous Galerkin
Mesh Refinement
Discontinuous Galerkin Method
2009
35 Citations (Scopus)

The discontinuous Galerkin method for two-dimensional hyperbolic problems part II: A posteriori error estimation

Adjerid, S. & Baccouch, M., Jan 1 2009, In : Journal of Scientific Computing. 38, 1, p. 15-49 35 p.

Research output: Contribution to journalArticle

A Posteriori Error Estimation
Discontinuous Solutions
Hyperbolic Problems
Triangular Mesh
A Posteriori Error Estimates
2007
40 Citations (Scopus)

The discontinuous Galerkin method for two-dimensional hyperbolic problems. Part I: Superconvergence error analysis

Adjerid, S. & Baccouch, M., Oct 1 2007, In : Journal of Scientific Computing. 33, 1, p. 75-113 39 p.

Research output: Contribution to journalArticle

Hyperbolic Problems
Superconvergence
Discontinuous Galerkin Method
Galerkin methods
Error Analysis
2006
3 Citations (Scopus)

Selection of physical and geometrical properties for the confinement of vibrations in nonhomogeneous beams

Baccouch, M., Choura, S., El-Borgi, S. & Nayfeh, A. H., Jul 1 2006, In : Journal of Aerospace Engineering. 19, 3, p. 158-168 11 p., 004603QAS.

Research output: Contribution to journalArticle

Natural frequencies
Polynomials
Boundary conditions
Computer simulation