Stokes问题的集中质量非协调有限元法

The lumped mass nonconforming finite element methods for stokes problem

主要讨论了一类Stokes问题的质量集中非协调有限元方法———半离散情形 .首先给出了所讨论问题的质量集中非协调Galerkin有限元方法的离散格式 ;其次对所讨论问题的解与其所给出的离散问题的解之间的误差进行了分析研究 ;最后利用Stokes投影算子的性质 ,得到了L2

This paper treats the lumped nonconforming finite element methods for an initial boundary value problem of a Stokes equation in two dimension space.Firstly,we study the discrete approximation scheme of the lumped mass nonconforming finite element methods the discussed problem.Secondly,the error estimates for the solution of the discussed problem and the solution of the discrete approximation scheme are considered.Finally,by means of the Stokes projection operator,some error estimates on L 2 norm and energy norm are derived.