A Self-Adaptive Model-Order Reduction Algorithm for Nonlinear Eddy-Current Problems Based on Quadratic–Bilinear Modeling
A Self-Adaptive Model-Order Reduction Algorithm for Nonlinear Eddy-Current Problems Based on Quadratic–Bilinear Modeling
复制标题
基于二次双线性建模的非线性涡流问题自适应模型降阶算法
DOI：
--
复制
发表时间：
2016
影响因子：
2.1
通讯作者：
R. Dyczij
中科院分区：
文献类型：
--
作者：
D. Klis;S. Burgard;O. Farle;R. Dyczij
非线性涡流问题的有限元时域模拟需要在每个时间步迭代求解一个大型稀疏方程组。模型降阶是一个强大的工具，以减少计算工作量为这项任务。本文提出了一种带误差控制的自适应降阶方法。与以往的方法相比，它处理的非线性没有简化，通过重写的原始方程作为一个二次双线性系统。
The finite-element time-domain simulation of nonlinear eddy-current problems requires the iterative solution of a large, sparse system of equations at every time-step. Model-order reduction is a powerful tool for reducing the computational effort for this task. In this paper, an adaptive order-reduction methodology with error control is proposed. In contrast to previous approaches, it treats the nonlinearity without simplification, by rewriting the original equations as a quadratic-bilinear system.