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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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2004
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| Series: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2004,1 |
| Subjects: | |
| Summary: | 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." |
| Physical Description: | 19 S. graph. Darst. |
Staff View
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| 520 | 3 | |a 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." | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Newton-Raphson method | |
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Record in the Search Index
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| id | DE-604.BV019676686 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013004777 |
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| physical | 19 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Weiser, Martin Verfasser aut Affine conjugate adaptive Newton methods for nonlinear elastomechanics Martin Weiser ; Peter Deuflhard ; Bodo Erdmann Berlin Konrad-Zuse-Zentrum für Informationstechnik 2004 19 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2004,1 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." Mathematical optimization Newton-Raphson method Deuflhard, Peter 1944-2019 Verfasser (DE-588)108205983 aut Erdmann, Bodo Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2004,1 (DE-604)BV013191727 2004,1 |
| spellingShingle | Weiser, Martin Deuflhard, Peter 1944-2019 Erdmann, Bodo Affine conjugate adaptive Newton methods for nonlinear elastomechanics Mathematical optimization Newton-Raphson method |
| title | Affine conjugate adaptive Newton methods for nonlinear elastomechanics |
| title_auth | Affine conjugate adaptive Newton methods for nonlinear elastomechanics |
| title_exact_search | Affine conjugate adaptive Newton methods for nonlinear elastomechanics |
| title_full | Affine conjugate adaptive Newton methods for nonlinear elastomechanics Martin Weiser ; Peter Deuflhard ; Bodo Erdmann |
| title_fullStr | Affine conjugate adaptive Newton methods for nonlinear elastomechanics Martin Weiser ; Peter Deuflhard ; Bodo Erdmann |
| title_full_unstemmed | Affine conjugate adaptive Newton methods for nonlinear elastomechanics Martin Weiser ; Peter Deuflhard ; Bodo Erdmann |
| title_short | Affine conjugate adaptive Newton methods for nonlinear elastomechanics |
| title_sort | affine conjugate adaptive newton methods for nonlinear elastomechanics |
| topic | Mathematical optimization Newton-Raphson method |
| topic_facet | Mathematical optimization Newton-Raphson method |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT weisermartin affineconjugateadaptivenewtonmethodsfornonlinearelastomechanics AT deuflhardpeter affineconjugateadaptivenewtonmethodsfornonlinearelastomechanics AT erdmannbodo affineconjugateadaptivenewtonmethodsfornonlinearelastomechanics |