معرفی
Dr. Alan Demlow is a Professor and Associate Head for Operations in the Department of Mathematics at Texas A&M University, where he has been a faculty member since 2014. His primary research focuses on the numerical analysis of partial differential equations, particularly the mathematical theory of finite element methods applied to surface PDEs and elliptic problems. He holds a leadership role in administration within the department.
His research interests emphasize developing and analyzing finite element methods for complex geometries, including surface Stokes equations, Laplace-Beltrami operators, and convection-diffusion problems. Key contributions include penalty-free methods, divergence-conforming techniques, and a posteriori error estimation frameworks.
Recent work highlights advancements in adaptive finite element methods for controlling local energy errors, optimal complexity results, and hybridizable discontinuous Galerkin approaches for elliptic surface problems. His publications reflect a strong focus on rigorous mathematical analysis paired with computational applications.
Dr. Demlow has received a PostDoctoral Research Fellowship (2003) and maintains an active research program involving adaptive methods, error control, and geometric PDE discretization. His office is located in Blocker 507D, and he can be reached via demlow@tamu.edu for academic collaborations or inquiries.
