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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：3D Fracture Development Analysis with A Modified XFEM
XFEM 三维裂缝 发育分析
2023/11/6
扩展有限元法(XFEM)是目前裂纹分析的主流数值方法。2009年起，ABAQUS、ANSYS等主流商业软件集成XFEM并应用于裂纹问题，标志着该方法被工业界广泛接受。然而，在实际应用中XFEM仍然受到两方面的困扰：总体方程高度病态和动力学计算时能量难以守恒。基于“困难的根源在于单位分解插值引入的额外自由度”这一判断和认识，我们提出了一种无额外自由度的改进型扩展有限元方法，有效解决了现有方法总体刚度...
Robust efficient frontier analysis with a separable uncertainty model
The mean - variance model effective portfolio construction model parameters return on assets uncertainty analysis and numerical examples
2015/8/10
Mean-variance (MV) analysis is often sensitive to model mis-specification or uncertainty, meaning that the MV efficient portfolios constructed with an estimate of the model parameters (i.e., the expec...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers
Anticancer therapy modelling Angiogenesis Structured population dynamics
2010/12/8
We introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment
of metastatic cancers. It is a structured transport equation with a nonlocal boundary condition de-scrib...