INSTITUT FÜR MATHEMATIK UND WISSENSCHAFTLICHES RECHNEN

Alfio Borzì

Research Interests

• Numerical solution of partial differential equations
• Development and analysis of multigrid methods
• Multilevel optimization
• Fast solution methods for optimization problems
• Numerical methods and modeling in gas dynamics and CFD
• Mathematics of vision

A short overview of recent work

Present projects

• MOBIS, SFB Mathematical Optimization with Applications to Biomedical Sciences, Fast Multigrid Methods for Inverse Problems.
  Supported by the Austrian Science Fund FWF
• Quantum optimal control of semiconductor nanostructures
  Supported by the Austrian Science Fund FWF project P18136-N13
• Fast Solvers for Computational Problems Arising in Pharmacy, Life Sciences, Mathematics, Physics, and the Environment
  Supported by NSF
• Image-Driven Inverse Cardiac Modeling Project (NSF ITR)
  Supported by NSF
• A computational framework for real-time identification of hazardous events (Biros, Willcox, et al.)
  Supported by NSF
• Real time optimization for data assimilation and control of large scale dynamic simulations (Ghattas, Biros, et al.)
  Supported by NSF

Industrial projects

• In collaboration with AVL List GmbH :
  Algebraic multigrid methods for multipurpose CFD simulation.
  Modelling and numerical solution of gas dynamics systems for engine simulation.

Some past projects

• Optimal control formulation for optical flow
• Optimal control of explosive systems
• Simulation of concentric-tube resonator
• Liebau phenomenon
• Three-level quantum systems
• Parabolic multigrid for optimal control problems
• Algebraic multigrid methods for elliptic differential systems
• multigrid 2005