Mixed finite-element solution of reaction-diffusion equations using a two-grid method

Li Wu, Myron B. Allen, Eun Jae Park

Research output: Contribution to conferencePaper

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 languageEnglish
Pages617-623
Number of pages7
Publication statusPublished - 1998 Jan 1
EventProceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2) - Crete, Greece
Duration: 1998 Jun 11998 Jun 1

Other

OtherProceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2)
CityCrete, Greece
Period98/6/198/6/1

Fingerprint

Linear systems
Finite element method

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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, .
Wu, Li ; Allen, Myron B. ; Park, Eun Jae. / Mixed finite-element solution of reaction-diffusion equations using a two-grid method. 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, .7 p.
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Wu, L, Allen, MB & Park, EJ 1998, 'Mixed finite-element solution of reaction-diffusion equations using a two-grid method' 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, 98/6/1 - 98/6/1, pp. 617-623.

Mixed finite-element solution of reaction-diffusion equations using a two-grid method. / Wu, Li; Allen, Myron B.; Park, Eun Jae.

1998. 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, .

Research output: Contribution to conferencePaper

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Wu L, Allen MB, Park EJ. Mixed finite-element solution of reaction-diffusion equations using a two-grid method. 1998. 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, .