### 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) |
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City | Crete, Greece |

Period | 98/6/1 → 98/6/1 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

Wu, L., Allen, M. B., & Park, E. J. (1998).

*Mixed finite-element solution of reaction-diffusion equations using a two-grid method*. 617-623. Paper presented at Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2), Crete, Greece, .