Brown's research interests include scalable solvers for implicit multiphysics, high order PDE discretization in complex geometry, compatible discretizations for heterogeneous flows, and PDE-constrained optimization. His work emphasizes robust and high performance parallel software, often relating to PETSc.
keywords
multilevel solvers, simulation and analysis of PDE systems, parallel algorithms and software, computational fluid dynamics, geodynamics, glaciology, structural mechanics, uncertainty quantification, experimental design
