报告主题：An Isoparametric Framework for the Scaled Boundary Finite Element Method

报告人：Ooi Ean Tat 教授（澳大利亚联邦大学）

报告时间：2026年10月27日（周二）9：00

报告地点：91麻豆 （江宁校区）致高楼A203

主办单位：91麻豆 动力学与控制研究所

欢迎广大师生参加！

报告简介：

The scaled boundary finite element method (SBFEM) provides considerable flexibility for the construction of polygonal and polyhedral elements. Its conventional implementation requires the solution of an eigenvalue problem for each element. This can become computationally expensive when the element geometry changes, particularly in nonlinear analyses. To address this, an isoparametric framework for the SBFEM is introduced.

Scaled boundary shape functions are first constructed on a set of parent elements by solving Laplace’s equation in the scaled boundary coordinate system. Elements in physical space are mapped to the parent elements through an isoparametric transformation. The element matrices and vectors are then evaluated using numerical quadrature, while information associated with the parent elements can be precomputed and reused. The concept was initially developed for general star-convex polygons in two dimensions and is subsequently extended to arbitrary faceted star-shaped polyhedra in three dimensions.

The implementation of the formulation in two and three dimensions is discussed, including the construction and selection of suitable parent elements. Numerical examples are presented to demonstrate the accuracy, convergence and computational advantages of the formulation.

报告人简介：

Dr. Ooi Ean Tat is a Professor of Mechanical Engineering and Head of Engineering at Federation University Australia. His research is in computational mechanics, focusing on the scaled boundary finite element method and the development of numerical methods for engineering analysis. His work includes polygonal and polyhedral elements, fracture and damage modelling, nonlinear analysis and coupled problems. He has received research funding from the Australian Research Council through Discovery and Linkage projects and has worked with industry on problems in infrastructure and resources engineering. He serves on the Editorial Board of Finite Elements in Analysis and Design and is active in the international computational mechanics community.