FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM

Cristina Brändle, Pablo Groisman, Julio Daniel Rossi · Mathematical Models and Methods in Applied Sciences · 2004

We present adaptive procedures in space and time for the numerical study of positive solutions to the following problem: [Formula: see text] with p,m>0. We describe how to perform adaptive methods in order to reproduce the exact asymptotic behavior (the blow-up rate and the blow-up set) of the continuous problem.

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