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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 1 July 1999 / Accepted: 30 August 1999
Rights and permissions
About this article
Cite this article
Deuflhard, P., Weiser, M. & Seebass, M. A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Comput Visual Sci 3, 115–120 (2000). https://doi.org/10.1007/PL00013546
Issue Date:
DOI: https://doi.org/10.1007/PL00013546