Affine conjugate adaptive Newton methods for nonlinear elastomechanics
Abstract: "The paper extends affine conjugate Newton methods from convex to nonconvex minimization, with particular emphasis on PDE problems originating from compressible hyperelasticity. Based on well-known schemes from finite dimensional nonlinear optimization, three different algorithmic var...
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| Hauptverfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2004
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| Schriftenreihe: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2004,1 |
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| Zusammenfassung: | Abstract: "The paper extends affine conjugate Newton methods from convex to nonconvex minimization, with particular emphasis on PDE problems originating from compressible hyperelasticity. Based on 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." |
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| Beschreibung: | 19 S. graph. Darst. |