All Stories

  1. A note on an iterative algorithm for solving an inverse problem for a fractional-order partial differential equation

    Article • Communications on Analysis and Computation, January 2025, American Institute of Mathematical Sciences (AIMS)

    Abdallah Bradji

  2. <inline-formula><tex-math id="M1">$ L^{\infty}(H_{{{\rm{div}}}}) \times W^{1,\infty}(L^2) $</tex-math></inline-formula>-norm superconvergence of mixed finite element schemes applied to multidimensional parabolic equations

    Article • Communications on Analysis and Computation, January 2025, American Institute of Mathematical Sciences (AIMS)

    Abdallah Bradji

  3. Steady-state inhomogeneous diffusion with generalized oblique boundary conditions

    Article • ESAIM Mathematical Modelling and Numerical Analysis, September 2023, EDP Sciences

    Abdallah Bradji

  4. Homogeneous incompressible Bingham viscoplastic as a limit of bi-viscosity fluids

    Article • Journal of Elliptic and Parabolic Equations, April 2023, Springer Science + Business Media

    Abdallah Bradji

  5. Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations

    Article • Computers & Mathematics with Applications, March 2023, Elsevier

    Abdallah Bradji

  6. A New Analysis for a Super-Convergence Result in the Divergence Norm for Lowest Order Raviart–Thomas Mixed Finite Elements Combined with the Crank–Nicolson Method Applied to One Dimensional Parabolic Equations

    Article • January 2023, Springer Science + Business Media

    Abdallah Bradji

  7. An $$L^\infty (H^1)$$-Error Estimate for Gradient Schemes Applied to Time Fractional Diffusion Equations

    Article • January 2023, Springer Science + Business Media

    Abdallah Bradji

  8. Convergence Analysis of a Finite Volume Scheme for a Distributed Order Diffusion Equation

    Article • January 2023, Springer Science + Business Media

    Abdallah Bradji

  9. SUSHI for a Bingham Flow Type Problem

    Article • January 2023, Springer Science + Business Media

    Abdallah Bradji

  10. SUSHI for a Non-linear Time Fractional Diffusion Equation with a Time Independent Delay

    Article • January 2023, Springer Science + Business Media

    Abdallah Bradji

  11. A Finite Volume Scheme for a Wave Equation with Several Time Independent Delays

    Article • January 2022, Springer Science + Business Media

    Abdallah Bradji

  12. A New Error Estimate for a Primal-Dual Crank-Nicolson Mixed Finite Element Using Lowest Degree Raviart-Thomas Spaces for Parabolic Equations

    Article • January 2022, Springer Science + Business Media

    Abdallah Bradji

  13. Two New Error Estimates of a Fully Discrete Primal-Dual Mixed Finite Element Scheme for Parabolic Equations in Any Space Dimension

    Article • Results in Mathematics, August 2021, Springer Science + Business Media

    Abdallah Bradji

  14. A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation

    Article • August 2020, Springer Science + Business Media

    Abdallah Bradji

  15. A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes

    Article • January 2020, Springer Science + Business Media

    Abdallah Bradji

  16. A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations

    Article • Computers & Mathematics with Applications, January 2020, Elsevier

    Abdallah Bradji

  17. A New Gradient Scheme of a Time Fractional Fokker–Planck Equation with Time Independent Forcing and Its Convergence Analysis

    Article • January 2020, Springer Science + Business Media

    Abdallah Bradji

  18. A New Optimal $$L^{\infty }(H^1)$$–Error Estimate of a SUSHI Scheme for the Time Fractional Diffusion Equation

    Article • January 2020, Springer Science + Business Media

    Abdallah Bradji

  19. Convergence Analysis of a Finite Volume Gradient Scheme for a Linear Parabolic Equation Using Characteristic Methods

    Article • January 2020, Springer Science + Business Media

    Abdallah Bradji

  20. Note on the Convergence of a Finite Volume Scheme for a Second Order Hyperbolic Equation with a Time Delay in Any Space Dimension

    Article • January 2020, Springer Science + Business Media

    Abdallah Bradji

  21. A Second Order Time Accurate SUSHI Method for the Time-Fractional Diffusion Equation

    Article • January 2019, Springer Science + Business Media

    Abdallah Bradji

  22. Some Convergence Results of a Multidimensional Finite Volume Scheme for a Semilinear Parabolic Equation with a Time Delay

    Article • January 2019, Springer Science + Business Media

    Abdallah Bradji

  23. Notes on the convergence order of gradient schemes for time fractional differential equations

    Article • Comptes Rendus Mathématique, March 2018, Cellule MathDoc/CEDRAM

    Abdallah Bradji

  24. On the convergence and convergence order of finite volume gradient schemes for oblique derivative boundary value problems

    Article • Computational and Applied Mathematics, June 2017, Springer Science + Business Media

    Abdallah Bradji

  25. Convergence Order of a Finite Volume Scheme for the Time-Fractional Diffusion Equation

    Article • January 2017, Springer Science + Business Media

    Abdallah Bradji

  26. Note on a New High Order Piecewise Linear Finite Element Approximation for the Wave Equation in One Dimensional Space

    Article • January 2017, Springer Science + Business Media

    Abdallah Bradji

  27. Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation

    Article • January 2017, Springer Science + Business Media

    Abdallah Bradji

  28. An analysis for the convergence order of gradient schemes for semilinear parabolic equations

    Article • Computers & Mathematics with Applications, September 2016, Elsevier

    Abdallah Bradji

  29. Convergence analysis of some first order and second order time accurate gradient schemes for semilinear second order hyperbolic equations

    Article • Numerical Methods for Partial Differential Equations, May 2016, Wiley

    Prof. Abdallah BRADJI, Abdallah Bradji

  30. A Theoretical Analysis for a New Finite Volume Scheme for a Linear Schrödinger Evolution Equation on General Nonconforming Spatial Meshes

    Article • Numerical Functional Analysis and Optimization, February 2015, Taylor & Francis

    Abdallah Bradji

  31. A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation

    Article • Journal of Mathematical Analysis and Applications, February 2015, Elsevier

    Abdallah Bradji

  32. A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equation

    Article • Journal of Mathematical Analysis and Applications, August 2014, Elsevier

    Abdallah Bradji

  33. A New Finite Volume Scheme for a Linear Schrödinger Evolution Equation

    Article • January 2014, Springer Science + Business Media

    Abdallah Bradji

  34. A Note on a New Second Order Approximation Based on a Low–Order Finite Volume Scheme for the Wave Equation in One Space Dimension

    Article • January 2014, Springer Science + Business Media

    Abdallah Bradji

  35. Note on the Convergence of a Finite Volume Scheme Using a General Nonconforming Mesh for an Oblique Derivative Boundary Value Problem

    Article • January 2014, Springer Science + Business Media

    Abdallah Bradji

  36. An analysis of a second-order time accurate scheme for a finite volume method for parabolic equations on general nonconforming multidimensional spatial meshes

    Article • Applied Mathematics and Computation, February 2013, Elsevier

    Abdallah Bradji

  37. Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes

    Article • Applications of Mathematics, February 2013, Institute of Mathematics, Czech Academy of Sciences

    Abdallah Bradji

  38. Convergence analysis of some high–order time accurate schemes for a finite volume method for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

    Article • Numerical Methods for Partial Differential Equations, December 2012, Wiley

    Abdallah Bradji

  39. A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

    Article • Numerical Methods for Partial Differential Equations, February 2012, Wiley

    Abdallah Bradji

  40. Some Abstract Error Estimates of a Finite Volume Scheme for the Wave Equation on General Nonconforming Multidimensional Spatial Meshes

    Article • January 2011, Springer Science + Business Media

    Abdallah Bradji

  41. Some Error Estimates for the Discretization of Parabolic Equations on General Multidimensional Nonconforming Spatial Meshes

    Article • January 2011, Springer Science + Business Media

    Abdallah Bradji

  42. Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids

    Article • Comptes Rendus Mathématique, October 2010, Cellule MathDoc/CEDRAM

    Abdallah Bradji

  43. An Approach to Improve the Convergence Order in Finite Volume and Finite Element Methods

    Article • January 2009, American Institute of Physics

    Abdallah Bradji

  44. Some simple error estimates of finite volume approximate solution for parabolic equations

    Article • Comptes Rendus Mathématique, April 2008, Cellule MathDoc/CEDRAM

    Abdallah Bradji

  45. Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods

    Article • IMA Journal of Numerical Analysis, November 2007, Oxford University Press (OUP)

    Abdallah Bradji

  46. Optimal defect corrections on composite nonmatching finite-element meshes

    Article • IMA Journal of Numerical Analysis, April 2007, Oxford University Press (OUP)

    Abdallah Bradji

  47. On the Discretization of the Coupled Heat and Electrical Diffusion Problems

    Article • Springer Science + Business Media

    Abdallah Bradji