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High-Resolution Selfadapative Computations on Chemical Reaction-Diffusion Problems with Internal Boundaries

Please always quote using this URN: urn:nbn:de:0297-zib-1395
  • Large chemical computations show the need for full adaptivity supporting the development of robust and highly efficient programs. For solutions possessing sharp moving spatial transitions, as travelling wavefronts or emerging boundary and internal layers, an automatic adjustment of both the space and the time stepsize is generally accepted to be more successful in efficient resolving critical regions of high spatial and temporal activity. In contrast to the widespread discretization sequence first space then time the reversed sequence first time then space is employed. Full adaptivity of the proposed algorithm is realized by combining embedded time discretization and multilevel finite element space discretization. In this paper the algorithm is described for one--dimensional problems. The numerical results show the significantly new perspectives opened by this approach.

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Author:Jens Lang
Document Type:ZIB-Report
Date of first Publication:1994/05/09
Series (Serial Number):ZIB-Report (SC-94-09)
Published in:Appeared in: Chemical Engineering Science, Vol. 51, No. 7, 1996, pp. 1055-1070
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