A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia
Please always quote using this URN: urn:nbn:de:0297-zib-3785
- In the clinical cancer therapy of regional hyperthermia nonlinear perfusion effects inside and outside the tumor seem to play a not negligible 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 to this problem. For several 3D virtual patients, nonlinear versus linear model is studied. Moreover, the numerical efficiency of the new algorithm is compared with a former application of an adaptive FEM to the corresponding instationary model PDE.
Author: | Peter Deuflhard, Martin WeiserORCiD, Martin Seebass |
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Document Type: | ZIB-Report |
Tag: | hyperthermia; multilevel FEM; nonlinear elliptic |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J60 Nonlinear elliptic equations |
65-XX NUMERICAL ANALYSIS / 65Jxx Numerical analysis in abstract spaces / 65J15 Equations with nonlinear operators (do not use 65Hxx) | |
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general) | |
Date of first Publication: | 1998/12/10 |
Series (Serial Number): | ZIB-Report (SC-98-35) |
ZIB-Reportnumber: | SC-98-35 |
Published in: | Appeared under the title: "A New Nonlinear Elliptic Multilevel FEM in Clinical Cancer Therapy Planning" in: Comput Visual Sc 3 (2000) 115-120 |