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Two-Dimensional Fully Adaptive Solutions of Reaction-Diffusion Equations

Please always quote using this URN: urn:nbn:de:0297-zib-1627
  • We present an adaptive Rothe method for two--dimensional problems combining an embedded Runge--Kutta scheme in time and a multilevel finite element discretization in space. The spatial discretization error is controlled by a posteriori error estimates based on interpolation techniques. A computational example for a thermodiffusive flame propagation model illustrates the high accuracy that is possible with the proposed method.

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Author:Jens Lang
Document Type:ZIB-Report
Date of first Publication:1994/12/07
Series (Serial Number):ZIB-Report (SC-94-34)
Published in:Appeared in: Applied Numerical Mathematics 18 (1995) 223-240
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