EFG法解抛物型偏微分方程的半离散误差估计

EFG Solution of Parabolic Partial Differential Equation and Error Estimation

在"椭圆Galerkin投影"算子及EFG法误差估计的基础上,对用EFG法解抛物型偏微分方程的数值解与精确解之间作了半离散的误差估计。半离散的误差估计表明所给出的误差界限关于r的阶是与子空间Sh的逼近阶相一致的。

On the base of the existent error estimation of elliptical Galerkin projection operator and EFG method, the semi-discrete error estimation between EFG solution and the exact solution of parabolic partial differential equation is obtained. Semi-discrete error estimation shows that the rank of r is accordance with the approximation rank of subspace Sb .