【摘要】 主要讨论了一类抛物问题的质量集中非协调有限元方法。首先,我们给出了所讨论问题的质量集中非协调有限元Crank-Nicolson全离散逼近格式。其次,对讨论问题的解与所给出逼近格式的解之间的误差估计进行了分析研究。最后利用椭圆投影算子,我们得到了关于L₂模和能量模方面的一些误差估计式。更多还原

【Abstract】 The paper mainly discusses the lumped mass nonconforming finite element methods fora parabolic problem. Firstly, we study the Crank-Nicolson completely discrete approximation schemeof the lumped mass nonconforming finite element methods for the discussed problem. Secondly, someerror estimates between the solution of the discussed problem and the solution of the discussed schemeare considered. Finally, by means of the elliptic projection operator, some error estimates on L₂-normand energy-norm are derived更多还原