Adaptive Time-Space Discretization for Combustion Problems

Please always quote using this URN: urn:nbn:de:0297-zib-3094
  • We present a self--adaptive finite element method to solve combustion problems in 1D, 2D, and 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. A posteriori error estimates are obtained by constructing locally higher order solutions involving all variables of the problem. Adaptive strategies such as step size control, spatial refinement and coarsening allow us to get economically an accurate solution. Various examples are presented to demonstrate practical applications of the proposed method.

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Metadaten
Author:Jens Lang, Bodo Erdmann, Rainer Roitzsch
Document Type:ZIB-Report
Date of first Publication:1997/09/22
Series (Serial Number):ZIB-Report (SC-97-40)
Published in:Appeared in: 15th IMACS World Congress on Scientific Computation: Modelling and Applied Mathematics, Berlin, August 1997. Achim Sydow (ed.) Berlin: Wissenschaft und Technik Verl. 1997, Vol. 2: Numerical Mathematics, pp. 149-155