The Improved Element-Free Galerkin Method for Large Deformation Problems

Speaker:   Prof. Yuming Cheng

Time:         Sept.23.2021 16:15-17:15

Location:   SIST 1A 108

Host:          Prof. Qifeng Liao

Abstract:   It is very important to study new numerical methods to solve large deformation problems. In this talk, by using the interpolating moving least-squares (IMLS) method based on a nonsingular weight function to obtain the interpolating function, an improved element-free Galerkin (IEFG) method is presented for solving some large deformation problems. The Galerkin weak form is used to obtain the final discretized equations, and penalty method is applied to impose the displacement boundary condition. The convergence of the numerical solutions of the IEFG method about node distributions and step numbers is discussed. Numerical results of the IEFG method for some large deformation problems show that the IEFG method has great precision, and it can solve large deformation problems effectively.

Bio: 程玉民，上海大学教授，国际应用力学学会执行委员会委员及标准和认证发展委员会主席，国际应用力学学会、国际先进材料学会和国际VEBLEO学会会士，SCI期刊《Mathematical Problems in Engineering》和《Mathematics》客座主编、《International Journal of Computers》副主编和《International Journal of Applied Mechanics》编委和Editor以及10多个国际期刊的编委。长期从事计算力学和科学工程计算的研究工作，近年来提出了相似边界元法、边界无单元法、复变量无网格方法和无网格流形方法等。曾主持国家自然科学基金5项、上海教委重点项目和上海市自然科学基金等项目。发表论文 240余篇，专著3部，论文被SCI期刊引用4700余次，h-index为45。2019和2020 分别入选Elsevier中国高被引学者数学和力学榜单。