Prof. Dr. Antti Rasila, Guangdong Technion-Israel Institute of Technology, China

Biography: Antti Rasila a mathematician currently working as an Associate Professor at Technion - Israel Institute of Technology, as a faculty member of the Guangdong Technion (GTIIT), Shantou, China. He obtained his doctoral degree in 2005 from the University of Helsinki. Before joining GTIIT in 2018, Iheworked from 2006 to 2018 at Aalto University, Finland. His fields of interest include complex analysis (in particular conformal invariants, harmonic mappings and quasiconformal mappings), elliptic partial differential equations, computer-aided mathematics (like numerical complex analysis and algorithms for solving certain types of PDEs), and in e-learning in mathematics education. He is also interested in applications of mathematics, computers and programming. [More]

Research Areas: 

①Mathematical Analysis

②Complex Analysis

③Potential Theory

④Computational Methdods

⑤Mathematics Education

Speech Title: Conjugate Function Method and Numerical Conformal Mappings

Abstract: We discuss the so-called conjugate function method for obtaining numerical representations of conformal mappings and its applications. It is an algorithm based on properties of so-called conformal invariants, in addition to which the computation of the potential functions is required. In our work, the computation has been mostly based on the hp-adaptive version of the finite element method (hp-FEM), which allows highly accurate numerical computation of these quantities even in the case of very complex geometries. If less accuracy is required, other methods including built-in PDE solver Mathematica, are applicable. In this presentation, we present the basics of the algorithm, and discuss its potential applications related to various engineering problems, for example, stress analysis, crack propagation, inverse problems, and mesh generation.