报告题目：A Novel Family of High-order Implicit Time Integration Schemes
报告人：Chongmin Song教授（新南威尔士大学）
报告时间：2024年11月25日（星期一）10:00-11:00
报告地点：致用楼219
报告人：Chongmin Song教授（新南威尔士大学）
主办单位：力学与工程科学学院动力学与控制研究所
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The numerical simulation of time-dependent problems in many disciplines of engineering and science requires the use of direct time integration method. This talk introduces a novel approach for constructing a family of high-order implicit time integration schemes with desirable attributes. The amount of numerical dissipation is controlled by a user-specified parameter, leading to schemes ranging from perfectly non-dissipative A-stable to L-stable. The effective stiffness matrix is a linear combination of the mass, damping, and stiffness matrices as in the trapezoidal rule, leading to high efficiency for large-scale problems. The acceleration is obtained at the same order of accuracy of the displacement and velocity using vector operations (without additional equation solutions and matrix-vector products). The order of accuracy is not affected by the presence of external forces and physical damping. It is found that second-order time integration methods commonly used in commercial software produce significantly polluted acceleration responses for a common class of wave propagation problems. The high-order time integration schemes presented here perform noticeably better at suppressing spurious high-frequency oscillations and producing reliable and useable acceleration responses.
报告人简介：
Chongmin Song教授为SBFEM的主要创始人，国际一流计算力学专家，现为澳大利亚新南威尔士大学土木与环境工程系教授，新南威尔士大学基础工程与安全中心主任（2016-至今）。1997年Song教授与瑞士联邦理工学院的Wolf教授共同创立了SBFEM，至今已有30余年的相关研究经历。该方法目前已发展成为线性/非线性静力/动力分析的通用数值方法，并被国际上的许多学者所采用，SBFEM兼具了有限元法与边界元法的优点同时又避免了其缺点，在国内外的学术界和工业界得到了广泛的应用，特别在求解无限域和奇异性工程问题中具有较高的精度和效率，已成功应用于土-结构动力相互作用分析、断裂力学与裂纹扩展、波传播、结构动力学与地震工程等领域。至今为止，Chongmin Song教授已在国际力学与工程类顶级期刊上发表论文230余篇，出版研究专著两部。2015年至今主持澳大利亚研究委员会基金、探索项目10项。
