Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 455-470 |
| Number of pages | 16 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 22 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 1 Jan 2001 |
| Externally published | Yes |
Keywords
- Dirichlet problems
- Finite difference methods
- Shortley-Weller approximation
- Superconvergence
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization
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