The Office of the Vice President for Research and Innovation recognizes Slimane Adjerid, a professor of mathematics in the College of Science, for his longtime work in partial differential equations.
Adjerid has worked on adaptive finite element algorithms for partial differential equations, which are guided by a posteriori error estimates. During the last 15 years he developed several a posteriori error estimates for guiding local adaptive refinement for discontinuous Galerkin methods. Applications include linear and nonlinear reaction-diffusion problems, flow problems, crystal growth, chemical vapor deposition and chemical vapor infiltration processes in material science.
Adjerid also is a leading expert on super-convergence of discontinuous Galerkin methods for both diffusion and hyperbolic problems. His work on Discontinuous Galerkin methods led to the first super-convergence results for hyperbolic partial differential equations.
During the past several years he has worked on high-order finite element spaces and methods for interface problems modeled by partial differential equations with discontinuous coefficients. His efforts have led to high-order accurate and efficient simulations of interface phenomena for diffusion, fluid flow, and wave propagation problems.
Adjerid earned a bachelor’s of science from Houari Boumediene University in Bab Ezzouar, Algeria, and master’s and doctoral degrees from Rensselaer Polytechnic Institute, all in mathematics. His research has been supported by the National Science Foundation, the U.S. Defense Advanced Research Projects Agency, the U.S. Department of Energy, and the U.S. Air Force.