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