Affiliation:
1. College of Civil Engineering, Nanjing Tech University, Nanjing 211816, China
2. Institute of Engineering Mechanics, Nanjing Tech University, Nanjing 211816, China
Abstract
Mesh quality is critical to the accuracy and efficiency of finite element calculations, and mesh smoothing is an essential means of reducing the number of poor elements and improving mesh quality. The deep Q-network-based optimization algorithm for planar Delaunay mesh (unconstrained DQN) has attracted increasing attention due to its advantages in autonomous optimization. However, the unconstrained DQN model does not constrain the movement area of the central node during the training process, and element quality easily falls into a local optimum, resulting in a low generalization of the DQN model. In this paper, an updateable iterative inner polygon is proposed as a constraint to limit the central node’s movement and control the element’s angle. Next, the performance of different neural networks when training the same dataset is analyzed, and the appropriate neural network is selected. After that, the effectiveness and generalization of the method were analyzed. Finally, the results were compared with those obtained by existing methods. The results show that the proposed algorithm can improve the minimum angle of global elements and the shape of poor elements, and the trained DQN model has a high generalization.
Funder
National Natural Science Foundation of China
Subject
Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science
Reference30 articles.
1. A numerical investigation on the interplay amongst geometry, meshes, and linear algebra in the finite element solution of elliptic PDEs;Kim;Eng. Comput.,2012
2. Cheng, S.W., Dey, T.K., and Shewchuk, J. (2013). Delaunay Mesh Generation, CRC Press. [1st ed.].
3. An Analysis of the Finite-Element Method;Strang;ASME J. Appl. Mech.,1974
4. On the angle condition in the finite element method;Aziz;SIAM J. Numer. Anal.,1976
5. What is a good linear finite element? interpolation, conditioning, anisotropy, and quality measures (preprint);Shewchuk;Univ. Calif. Berkeley,2002
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献