Efficient stochastic finite element method for high-dimensional nonlinear stochastic problems

The project focuses on simulating complexly high-dimensional nonlinear stochastic systems in practice. We plan to conduct research on numerical algorithms and their practical applications.

On one hand, we hope to develop efficient numerical algorithms to solve stochastic problems, especially for high-dimensional nonlinear stochastic problems. We hope to improve the numerical implementations to form black-box modules like existing software, which is crucial to apply the proposed method to simulate a wide class of complex stochastic problems.

On another hand, we hope to apply the method to high-dimensional nonlinear stochastic problems and corresponding uncertainty quantification in practice, e.g., structural damages, high cycle fatigue problems and structural reliability analysis.

Postdoctoral Researcher: Zhibao Zheng

Principal Investigator: Udo Nackenhorst