The Hong Kong Polytechnic University (PolyU) has consistently valued collaboration with international research communities to pursue innovative research projects. A PolyU mathematics project has received support from the European Union (EU) – Hong Kong Research Cooperation Co-funding Mechanism by the RGC for its world-class scientific potential.
Led by Prof. LI Buyang, Professor and RGC Research Fellow in the Department of Applied Mathematics at PolyU, the project titled “Geometric Finite Element Methods” has received support from the EU-Hong Kong Research Cooperation Co-funding Mechanism by the RGC. This collaborative effort, involving Dr. HU Kaibo from The University of Edinburgh, has been awarded a grant of HK$431,500 for a duration of 54 months.
Tensor-valued partial differential equations on surfaces have significant theoretical value and applications across a wide range of fields, including nonlinear elasticity, general relativity, computer graphics, and differential geometry and topology. This proposal aims to develop stable, efficient, and high-accuracy numerical schemes for tensor-valued partial differential equations on manifolds by developing intrinsic tensor finite elements and advanced numerical analysis techniques for solving tensor-valued PDEs on manifolds, particularly intrinsic geometric flows, such as the Ricci flow, a fundamental tool in differential geometry and topology.
Prof. LI said, “This research aims to provide a rigorous theoretical analysis of the numerical approximation, including stability, convergence, and error estimates. The outcomes are expected to advance both the numerical analysis and practical applications of partial differential equations on manifolds.”
Prof. LI’s research focuses on the development of efficient computational methods for nonlinear partial differential equations in physical, engineering, and geometric models, with rigorous analysis for the stability and convergence of the numerical approximations.
The European Union (EU) – Hong Kong Research Cooperation Co-funding Mechanism by the RGC accepts research project proposals in the areas of food, agriculture, biotechnologies (linked to the agri-food sector), climate change, and biodiversity, as well as exchange (mobility) proposals. It aims to strengthen the collaboration between European and Hong Kong research communities in areas of mutual interest in order to achieve world-class scientific results. Selected research teams will be supported to participate in joint research projects conducted under the framework of Horizon Europe.
