Adaptive Mesh Refinement for Parallel Processors (Classic Reprint)
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Excerpt from Adaptive Mesh Refinement for Parallel Processors
The second interaction between grids happens at grid interfaces. Fine grids need boundary condi tions that come from linear interpolation in space and time from the surrounding coarse grid. In order for the combined difference scheme to be conservative, the coarse grid needs to be modified correspondingly so that the difference equations at the coarse points immediately adjacent to a fine grid see the fine grid.(3)
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