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Final Project : A Parallel Multigrid Poisson Solver
| Content Provider | Semantic Scholar |
|---|---|
| Author | Economon, Thomas D. Alonso, J. J. |
| Copyright Year | 2014 |
| Abstract | Let Ω represent a 2D square domain given by [0, 1] x [0, 1]. We choose to discretize (1) using a 2nd-order finite difference approximation on a cartesian mesh composed of a number N nodes in the xand y-directions with uniform spacing h, as seen in Fig. 2. The value of φ on the 2D cartesian mesh can then be approximated for each node {i, j} in the interior of the computational domain as − a h2 (φi,j−1 + φi−1,j − 4φi,j + φi+1,j + φi,j+1) = fi,j , i, j = 2, ..., N − 1, (2) |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://web.stanford.edu/class/cs315b/projects/multigrid_poisson/multigrid_poisson_slides.pdf |
| Alternate Webpage(s) | http://adl.stanford.edu/cme342/Assignments_files/cme342_poisson_project.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
