Speaker: Prof. Viktor Didenko

Time: 16:00-17:00, 11 May 2023 (Thursday) (Beijing time)

Venue: 华信书院，CC126

Tencent Meeting ID: 481-356-217

Abstract

Approximate solution of non-homogeneous biharmonic equations with non-homogeneous boundary conditions in piecewise smooth domains is discussed. Numerical schemes are based on the reduction of the original problem to the Sherman-Lauricella equation. It is solved by spline Galerkin methods and its approximate solutions are used in order to determine the solutions of biharmonic problems. The approximation methods are stable and do not depend on the domain shape and the magnitude of the boundary corners. It is worth noting that the approximate solutions do not inherit the convergence order of the approximations of the integral equation, which is in strong contrast with the case of smooth domains.

About Prof. Viktor Didenko

Victor Didenko is a Visiting Professor at the Southern University of Science and Technology, Shenzhen. He received his Ph.D. degree from the Kazann State University in 1979 and a D.Sc. degree from the Odessa I.I.Mechnikov University in 1994. Before joining SUSTech, he was a member of several universities in Ukraine, Germany, Brunei, and Vietnam. Victor Didenko’s research interests are in Applied Functional Analysis, Operator Theory, and Integral Equations. He published the monograph Approximation of Additive Convolution-Like Operators: Real C-Algebra Approach and over 80 refereed articles. He is the Managing Editor of the East Asian Journal on Applied Mathematics and serves on the editorial board of Mathematical Methods in the Applied Sciences.