Abstract
An Adaptive Discrete Geometric Approach is proposed for high-accuracy simulations of 2-D elliptic problems on the coarse grid. The idea is to reduce the error coming from the discretization of the constitutive equations by using the patch recovery technique. The integration-oriented scheme is adopted for the recovery procedure due to the high-precision of the regression functions. The accuracy and efficiency of the proposed approach are verified by the numerical tests.
| Original language | English |
|---|---|
| Pages (from-to) | 195-203 |
| Number of pages | 9 |
| Journal | International Journal of Applied Electromagnetics and Mechanics |
| Volume | 55 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
Keywords
- Discrete Geometric Approach
- bicubic spline interpolation
- constitutive matrix
- patch recovery