数学
伽辽金法
有限元法
自由度(物理和化学)
间断伽辽金法
交货地点
订单(交换)
要素(刑法)
应用数学
边界(拓扑)
数学分析
财务
生物
政治学
法学
农学
经济
物理
量子力学
热力学
作者
Jijing Zhao,Hongxing Rui,Junpeng Song
标识
DOI:10.1016/j.aml.2021.107842
摘要
Weak Galerkin (WG method) is a numerical method based on the weak functions and weak partial derivatives, which has been widely developed in recent decades. In the implementation, different degrees of freedom (DOFs) are distributed in the element interior and boundary respectively, which leads to a great impact on the computational complexity. In our work, we propose a new reduced-order weak galerkin finite element (RO-WG) method with seldom DOFs, where the proper orthogonal decomposition (POD) technique is adopted to save CPU time. The parabolic equation is considered for a test problem. Some numerical examples are given to prove the superiority of this method, where the CPU time can be reduced a lot.
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