【摘要】 将四边形Wilson元应用于二维空间中的一类非线性抛物型积分微分方程,研究近似解与精确解的误差估计,得到了半离散Galerkin近似解与精确解的最优L2模与Sh模误差估计,并且证明了Wilson元解的梯度对四边形网格具有超收敛性。更多还原

【Abstract】 This paper deals with the convergence properties of the nonconforming quadrilateral Wilson element for a class of nonlinear parabolic integro-di?erential problems in two space dimensions. Optimal L2 and Sh error estimates for the continuous time Galerkin approximations are derived. It is also shown for rectangular meshes that the gradient of the Wilson element solution possesses superconvergence.更多还原