We are concerned with the numerical solutions of Dirichlet problems of elliptic equations. The convergence behavior of numerical solutions by using Shortley-Weller approximation is considered. We give three examples and prove that they have properties of nonsuperconvergence near any boundary point, superconvergence near a side and superconvergence near a corner, respectively.
- Dirichlet problems
- Finite difference methods
- Shortley-Weller approximation
ASJC Scopus subject areas
- Signal Processing
- Computer Science Applications
- Control and Optimization