Adaptive probabilistic meshless methods for evolutionary systems

这个项目将开发和实施一类新的数值求解器，用于发展系统，如相互作用的流体-结构流动。为了应对极端的应变率和大变形，这些新的求解器将是自适应的和无网格的，它们还将隐含地表示自己的解的不确定性，从而实现最优设计和不确定性量化。这个令人兴奋的项目汇集了连续介质力学、偏微分方程组的数值方法和统计机器学习的各个方面。

This project will develop and implement a new class of numerical solvers for evolving systems such as interacting fluid-structure flows. To cope with extreme strain rates and large deformations these new solvers will be adaptive and meshless, and they will also implicitly represent their own solution uncertainty, thus enabling optimal design and uncertainty quantification. This exciting project brings together aspects of continuum mechanics, numerical methods for partial differential equations, and statistical machine learning.