Dr. Howell joined the Department of Mathematics faculty in August 2012. Prior to that, he was a postdoctoral researcher in the Department of Mathematical Sciences at Carnegie Mellon University, and subsequently an Assistant Professor at Clarkson University.
Current Activities: Finite Element Methods for Fluids and Structures; Applications of Differential Equations in the Natural and Social Sciences; Direct Solution Methods for Large Sparse Linear Systems; Numerical and Computational Analysis of Arterial Blood Flow; Numerical Methods for Coupled Multiscale Problems in Fluid/Fluid and Fluid/Structure Interaction.
General Interests: Numerical and Computational Analysis; Numerical Solution of Partial Differential Equations; Computational Fluid Dynamics; Finite Element Methods; Saddle Point Problems; Inf-Sup Conditions; Temporal Integration Methods for Systems of Ordinary Differential Equations; Operator-Splitting Methods; Defect Correction Methods; Continuation Methods; Newtonian and Non-Newtonian Fluid Flow; Reaction-Diffusion Equations; Flow in Porous Media; Iterative Linear and Nonlinear Solvers.
- Math 229 (Vector Calculus with Chemical Applications) Section 1
- Math 120 (Introductory Calculus) Section 6
Recent Publications and Preprints:
- C. Fletcher and J. S. Howell. Dynamic modeling of nontargeted and targeted advertising strategies in an oligopoly. Submitted May 2016.
- J. S. Howell. Prestructuring sparse matrices with dense rows and columns via null space methods. Submitted May 2016.
- J. S. Howell, M. Neilan, and N. J. Walkington. A dual-mixed finite element method for the Brinkman problem. SMAI J. Comput. Math., 2, 2016, 1-17.
- J. S. Howell and D. S. Boucher. Temperature Dependence of the Convex Solubility Parameters of Organic Semiconductors. J. Polym. Sci. Part B: Polym. Phys., 54(1), 2016, 81-88.
- J. S. Howell, B. O. Stephens, and D. S. Boucher. Convex solubility parameters for polymers. J. Polym. Sci. Part B: Polym. Phys., 53(16), 2015, 1089-1097.
- J. S. Howell, H. Lee, and S. Xu. Finite element approximation of viscoelastic flow in a moving domain.Elect. Trans. Numer. Anal., 41, 2014, 306–327.
- J. S. Howell, H. Lee, and S. Xu. Numerical study of a viscoelastic flow in a moving domain. Proceedings of the 8th International Conference on Scientific Computing and Applications, Contemp. Math. Series no. 586, Amer. Math. Soc., 2013, 181--188.
- J. S. Howell and N. J. Walkington. Dual-mixed finite element methods for the Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 47, 2013, 789--805.
A complete list of publications is maintained at http://howelljs.people.cofc.edu/publications.htm