معرفی
Prof. Dr. Lubomir Banas is a full-time Professor at the Faculty of Mathematics, University of Bielefeld. His research focuses on numerical analysis of stochastic partial differential equations (SPDEs), particularly in micromagnetism, phase field models, and stochastic games. He leads Subproject B03 in the SFB 1283 project 'Taming Uncertainty and Profiting from Randomness and Low Regularity in Analysis, Stochastics and Their Applications.'
Research Interests:
- Numerical methods for SPDEs and singular-degenerate PDEs
- Adaptive finite element techniques and a posteriori estimates
- Phase field models (Cahn-Hilliard, obstacle potentials)
- Stochastic games with asymmetric information
- Computational micromagnetism and magnetostriction
- Self-organized criticality and nonlinear stochastic flows
Recent work includes:
- 2025: Numerical approximation of biharmonic wave maps and stochastic games
- 2024: Sharp interface limits for stochastic Cahn-Hilliard equations
- 2023: Singular-degenerate SPDEs and a posteriori estimates
- 2022: Stochastic total variation flow and Hamilton-Jacobi-Bellman equations
- 2021: Nematic electrolytes and homogenization of two-phase flows
He serves on examination boards for Bachelor's and Master's programs in Mathematics and Mathematical Physics, and supervises graduate students within the Bielefeld Graduate School in Theoretical Sciences. His publications (over 30) address convergence analysis, error estimation, and computational modeling in applied mathematics.
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