In response to the series of challenges faced by traditional nonlinear continuous and discrete optimization algorithms when solving large-scale optimization problems, as well as to address many core technical issues in key technology fields such as new materials, micro-nano materials, intelligent manufacturing, and chip design, this research focuses on in-depth studies of mathematical optimization and topology optimization algorithms.

The general optimization solver is a universal solution for operational optimization problems. It can efficiently solve decision-making optimization problems in application scenarios such as energy and power, factory scheduling, and transportation. Due to its versatility and irreplaceability, the solver is considered the core engine of modern intelligent decision-making and one of the key technologies in the industrial software field. Currently, a self-developed general optimization solver has been created, and a series of related research activities have been conducted.

This research direction of multiphysics simulation industrial software centers around solving coupled partial differential equations for multiphysics problems. It takes into account the interactions among various physical phenomena, including mechanics, thermodynamics, electromagnetism, etc., in order to conduct comprehensive analyses of complex physical systems. At present, research efforts have been dedicated to the development of the OpenCAXPlus software development platform, along with solver algorithms and applications.