ARTICLE:

• ADAPTIVE SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS WITH APPLICATION TO HYPERTHERMIA TREATMENTS  download article

Bodo Erdmann
Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustraβe 7, 14195 Berlin - Dahlem, Federal Republic of Germany

Jens Lang
Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustraβe 7, 14195 Berlin - Dahlem, Federal Republic of Germany

Martin Seebab
Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustraβe 7, 14195 Berlin - Dahlem, Federal Republic of Germany

ABSTRACT

We present a self-adaptive finite element method to solve nonlinear evolution problems in 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. The proposed method is applied to hyperthermia treatments to demonstrate its potential for the solution of complicated problems.

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