主持人：朱升峰 教授
报告简介：
In this work, we propose a new neural network framework to interface problems. The highlight of this framework lies in its incorporation of a neural network structure composed of multi-tensor neural networks and a loss function integrated with the Nitsche method. Meanwhile, we extend the application scope of tensor neural networks from computational regions that are hypercubes to that are unions of a finite number of disjoint hypercubes. We also propose a method for a special eigenvalue interface problem in engineering, the two-group neutron diffusion problem. We incorporates the idea of decoupling energy loss functions and changes the eigenvalue equations into fixed-source equations. As the neural network is optimized, the fixed-source term evolves with the iterative steps. Finally, ample numerical experiments are presented to validate our methods.
主讲人简介：
贺巧琳，四川大学数学澳门六合彩资料大全
教授、博士生导师。主要研究领域为关于有奇异解问题的自适应网格方法、流体力学问题的计算方法, 复杂流体计算、数值分析和数值模拟、微分方程数值格式和深度学习的方法结合等等。在国际著名期刊上发表高水平论文50余篇。先后主持国家自然科学基金3项，科技部重点研发计划子课题，军科委项目等。
