通过二维和三维积分恒等式,探讨泊松方程本征值问题三角线元和四面体线元Richardson外推的可行性.理论分析表明,如果剖分为均匀一致和拟一致,外推均可将解的精度提高二阶.
The authors use the two and three dimensional integral identities to explore the feasibility of the Richardson extrapolation of triangular and tetrahedral linear finite element solution for Poisson eigenvalue problem. Theoretical analysis shows that, if the subdivision is uniform or quasi-uniform, the extrapolation can improve the accuracy of second order.