Abstract
We present a method for solving nonlinear reaction-diffusion equations, s∂p/∂t-▽·(K▽p) = f(x,p), using a mixed finite-element method. To linearize the mixed-method equations, we use a two-grid scheme that relegates all of the Newton-like iterations to grids much coarser than the original one, with no loss in order of accuracy. The use of a multigrid-based solver for the indefinite linear systems that arise at each iteration, as well as for the similar system that arises on the fine grid, allows for even greater efficiency.
| Original language | English |
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| Pages | 617-623 |
| Number of pages | 7 |
| Publication status | Published - 1998 |
| Event | Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2) - Crete, Greece Duration: 1998 Jun 1 → 1998 Jun 1 |
Other
| Other | Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2) |
|---|---|
| City | Crete, Greece |
| Period | 98/6/1 → 98/6/1 |
All Science Journal Classification (ASJC) codes
- Engineering(all)