Denis Ridzal

Synopsis of My Work

Applied mathematics, numerical analysis, numerical optimization, partial differential equations (PDEs), applications in physical and life sciences

• Optimization:
  Large-scale nonlinear programming, PDE-constrained optimization, optimal control, inexact sequential quadratic programming (SQP), solvers and preconditioners for KKT systems, development of optimization software.

• Numerical analysis and PDEs:
  Advanced compatible and high-order discretizations, finite element analysis, development of software tools for PDE discretizations.

• Example applications:
  Engineering design and parameter estimation in solid mechanics, fluid dynamics and semiconductor physics; inverse problems in geophysics; medical image analysis; novel uses of optimization in shock physics and climate science (sea-ice and atmospheric modeling).