吉林大学学报（理学版）2017，Vol.55Issue(3)：465-473,9.DOI:10.13413/j.cnki.jdxblxb.2017.03.01
求解时间相关Brinkman方程弱有限元方法的误差估计
Error Estimation of Weak Galerkin Finite Element Method for Solving Time-Dependent Brinkman Equation
摘要
Abstract
We solved time-dependent Brinkman equation by the weak Galerkin finite element method. Corresponding error equations and error estimates were established by using semi-discrete scheme only for the discrete space and full-discrete scheme for the time and space discretization.We obtained the optimal rate convergence in H1 and L2 norm for the velocity function,and in H1 norm for the pressure function.So that the weak Galerkin finite element method was applied more widely.关键词
时间相关Brinkman方程/弱有限元方法/标量离散弱梯度/向量离散弱梯度Key words
time-dependent Brinkman equation/weak Galerkin finite element method/scalar discrete weak gradient/vector discrete weak gradient分类
数理科学引用本文复制引用
孙立娜,王秀丽,王一博,周倩..求解时间相关Brinkman方程弱有限元方法的误差估计[J].吉林大学学报（理学版）,2017,55(3):465-473,9.基金项目
国家自然科学基金(批准号:11271157 （）
J1310022). （）
