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Computing and Visualization in Science

, Volume 3, Issue 3, pp 115–120 | Cite as

A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning

  • Peter Deuflhard
  • Martin Weiser
  • Martin Seebass
Regular article

Abstract.

In the clinical cancer therapy regional hyperthermia certain nonlinear perfusion effects inside and outside the tumor seem to play a significant role. A stationary model of such effects leads to a nonlinear Helmholtz term within an elliptic boundary value problem. The present paper reports about the application of a recently designed adaptive multilevel FEM (code NEWTON-KASKADE) to this problem. For two 3D virtual patients, nonlinear and linear models are compared. Moreover, the numerical efficiency of the new algorithm is compared with a former application of an adaptive FEM to the corresponding non stationary model PDE.

Keywords

Linear Model Significant Role Stationary Model Cancer Therapy Elliptic Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Peter Deuflhard
    • 1
  • Martin Weiser
    • 1
  • Martin Seebass
    • 1
  1. 1.Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustr. 7, 14195 Berlin, Germany (e-mail: {deuflhard, weiser, seebass}@zib.de)DE

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