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Adaptive Algorithms in Dynamical Process Simulation

Please always quote using this URN: urn:nbn:de:0297-zib-1823
  • Dynamical simulation of industrially relevant processes strongly advises the use of algorithms, which are {\em adaptive} both in time and in space discretization. The paper presents two alternatives: (a) a fully adaptive method of lines approach, which is based on finite difference methods and essentially applicable to 1D problems; (b) a fully adaptive Rothe method, which is based on a fast multilevel finite element method and applicable to 1D up to 3D.

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Author:Peter Deuflhard, Jens Lang, Ulrich Nowak
Document Type:ZIB-Report
Date of first Publication:1995/05/31
Series (Serial Number):ZIB-Report (SC-95-16)
Published in:Appeared in: Topics in Industrial Mathematics. Proc. 8th Conf. of the European Consortium for Mathematics in Industry (ECMI 94). H. Neunzert (ed.) Wiley; Teubner 1996, pp. 122-137
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