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.
|Number of pages||7|
|Publication status||Published - 1998 Jan 1|
|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||Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2)|
|Period||98/6/1 → 98/6/1|
All Science Journal Classification (ASJC) codes