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Affine conjugate adaptive Newton methods for nonlinear elastomechanics.
- Source :
- Optimization Methods & Software; Jun2007, Vol. 22 Issue 3, p413-431, 19p, 4 Black and White Photographs, 2 Charts
- Publication Year :
- 2007
-
Abstract
- The paper extends affine conjugate Newton methods from convex to nonconvex minimization, with particular emphasis on PDE problems originating from compressible hyperelasticity. On the basis of well-known schemes from finite dimensional nonlinear optimization, three different algorithmic variants are worked out in a function space setting, which permits an adaptive multilevel finite element implementation. These algorithms are tested on two well-known 3D test problems and a real-life example from surgical operation planning. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10556788
- Volume :
- 22
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Optimization Methods & Software
- Publication Type :
- Academic Journal
- Accession number :
- 24444522
- Full Text :
- https://doi.org/10.1080/10556780600605129