Research Papers (Also see MathScinet)

Koffi B. Fadimba , USCA ADMN 237 F, (803) 641 3537, Contact me

  1. H1-Convergence Estimates for a Linear Backward Euler Scheme for the Saturation Equation. Preprint (2012).
  2. Convergence Estimates for a Linear Backward Euler Scheme for the Saturation Equation Preprint (2010), under review
  3. Pressure/Saturation System for Immiscible Two-Phase Flow: Uniqueness Revisited, Applied Mathematics ( 2011) (2), pp. 541-550, DOI: 10.4236/am.2011.25071
  4. A Linear Backward Euler Scheme for the Saturation Equation: Regularity Results and Consistency, Journal of Computational and Applied Mathematics 234 (2010), pp 272-282
  5. On Existence and Uniqueness for a Coupled System Modeling Immiscible Flow through a Porous Medium, J. Math. Anal. Appl. 328 (2007), pp. 1041-1056.
  6. Error Analysis for a Galerkin Finite Element Method Applied to a Coupled Nonlinear System of Degenerate Advection-Diffusion Equations. Comp. Meth. Appl. Math., Vol. 6 (2006), No. 1, pp 3-30.
  7. A Linearization of a Backward Euler Scheme for a Class of Degenerate Nonlinear Advection-Diffusion Equations, Nonlinear Analysis: Theory, Methods & Applications, 63 (5-7)(2005), pp e1097-e1106.
  8. With R. C. Sharpley: Galerkin Finite Element Method for a Class of Porous Medium Equations, Nonlinear Analysis: Real World Applications 5 (2004) pp 355-387.
  9. Error Estimates for a Regularization of a Class of Porous Medium Equation, (in pdf form) Imhotep, J. Afr. Math. Pures Appl., Vol 3(1) (2000), pp 77-96
  10. Sur l'Opérateur de Résolution de Poisson,(pdf form) J. Rech. Sci. Univ. Benin(Togo), vol 4(2000), no. 2, 139-145
  11. With R. C. Sharpley A Priori Estimates and Regularization for a Class of Porous Medium Equations Nonlin. World 2(1995), no. 1, 13-41
Technical Reports
  1. Galerkin Finite Element Method for a Class of Porous Medium Equations (with R. C. Sharpley) Industrial Mathematics Institute, University of South Carolina (2003:09)
  2. Error analysis for a Galerkin finite element method applied to a coupled nonlinear degenerate system of advection-diffusion equations Institute for Scientific Computation, Texas A&M, ISC-05-06-AMTH (2005)