The local defect correction (LDC) method is used to solve a convection-diffusion-reaction problem that contains a high-activity region in a relatively small part of the domain. The improvement of the solution on a coarse grid is obtained by introducing a correction term computed from a local fine-grid solution. This article studies problems where the high-activity region is covered with a rectangular fine grid not aligned with the axes of the global domain. This study shows that the resulting method is less expensive than both a uniform refinement and tensor product grid method.
|Tijdschrift||Numerical Methods for Partial Differential Equations|
|Nummer van het tijdschrift||1|
|Status||Gepubliceerd - 2004|