期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 121, 期 4, 页码 588-601出版社
WILEY
DOI: 10.1002/nme.6235
关键词
adaptivity; artificial neural network; finite element methods; reduced-order model
资金
- Spanish Government through Ramon y Cajal grant [RYC-2015-17367]
- ICREA Academia Research Program of the Catalan Government
- Agencia de Gestio d'Ajut i de Recerca [2019-FI-B-00649]
- Spanish Government [TOP-FSI: RTI2018-098276-B-I00]
- Chilean Council for Scientific and Technological Research [CONICYT-FONDECYT 11160160]
In this work, a reduced-order model based on adaptive finite element meshes and a correction term obtained by using an artificial neural network (FAN-ROM) is presented. The idea is to run a high-fidelity simulation by using an adaptively refined finite element mesh and compare the results obtained with those of a coarse mesh finite element model. From this comparison, a correction forcing term can be computed for each training configuration. A model for the correction term is built by using an artificial neural network, and the final reduced-order model is obtained by putting together the coarse mesh finite element model, plus the artificial neural network model for the correction forcing term. The methodology is applied to nonlinear solid mechanics problems, transient quasi-incompressible flows, and a fluid-structure interaction problem. The results of the numerical examples show that the FAN-ROM is capable of improving the simulation results obtained in coarse finite element meshes at a reduced computational cost.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据