1 / 2

Redundant Ghost Nodes in Jacobi

Redundant Ghost Nodes in Jacobi. Overview of Memory Hierarchy Optimization Can be used on unstructured meshes Size of ghost region (and redundant computation) depends on network/memory speed vs. computation. To compute green. Copy yellow. Compute blue.

cael
Télécharger la présentation

Redundant Ghost Nodes in Jacobi

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Redundant Ghost Nodes in Jacobi • Overview of Memory Hierarchy Optimization • Can be used on unstructured meshes • Size of ghost region (and redundant computation) depends on network/memory speed vs. computation To compute green Copy yellow Compute blue

  2. Convergence of Nearest Neighbor Methods • Jacobi’s method involves nearest neighbor computation on nxn grid (N = n2) • So it takes O(n) = O(sqrt(N)) iterations for information to propagate • E.g., consider a rhs (b) that is 0, except the center is 1 • The exact solution looks like: Even in the best case, any nearest neighbor computation will take n/2 steps to propagate on an nxn grid

More Related