【摘要】 本文研究了用P₁-Q₀元（其中P₁表示P₁非协调四边形元）解Stokes问题的非协调混合有限元稳定化逼近方法.P₁-Q₀元不满足LBB条件（见[7,14]）,因而其不能直接用来求解Stokes问题.受[3]的启发,我们提出了一种用P₁-Q₀元解Stokes问题的稳定化方法,证明了这种方法的稳定性和离散问题解的存在唯一性,得到了最优误差估计.文章最后给出的数值算例验证了我们的理论结果.更多还原

【Abstract】 In this paper,we study a stabilized method of P₁-Q_o elements（where P₁ denotes P₁ nonconforming quadrilateral finite element） approximation of Stokes problem.Since P₁-Q₀ elements violate the LBB condition（see[7,14]）,they can not be used for solving Stokes problem directly.Motivated by[3],we propose a stabilized method of P₁-Q₀ elements for solving Stokes problem.We show the stability,existence and uniqueness of solutions of discrete problem.Meanwhile,an optimal error estimate is obtained.Finally,numerical experiments are presented to confirm our theoretical results.更多还原