TY - GEN A1 - Lang, Jens T1 - Two-Dimensional Fully Adaptive Solutions of Reaction-Diffusion Equations N2 - 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. T3 - ZIB-Report - SC-94-34 Y1 - 1994 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/162 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-1627 ER -