摘要
讨论了对流占优问题稳定化的扩展混合元数值模拟.把稳定化的思想与扩展混合元方法相结合,既可以高精度逼近未知函数,未知函数的梯度及伴随向量函数,又能保证格式的稳定性.理论分析表明,方法是有效的,具有最优L^2逼近精度.
In this paper, we investigate a stabilized expanded mixed finite element approx- imation of convection dominated problems. Theoretical analysis shows that the method can approximate the scalar unknown function, its gradient and flux function optimally. Moreover, we prove that the scheme is more stable than the standard expanded mixed finite element method.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第16期248-254,共7页
Mathematics in Practice and Theory
基金
山东省自然科学基金(ZR2009AZ003)
山东交通学院科研基金(Z201134)
关键词
对流占优问题
稳定化的扩展混合有限元
最优误差估计
convection-dominated equations
stabilized expanded mixed finite element methodoptimal error estimate
