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...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| 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 |
| Schlagworte: | |
| 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." |
| Beschreibung: | 19 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Weiser, Martin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Affine conjugate adaptive Newton methods for nonlinear elastomechanics |c Martin Weiser ; Peter Deuflhard ; Bodo Erdmann |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 2004 | |
| 300 | |a 19 S. |b graph. Darst. | ||
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| 490 | 1 | |a ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 2004,1 | |
| 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 | |
| 700 | 1 | |a Deuflhard, Peter |d 1944-2019 |e Verfasser |0 (DE-588)108205983 |4 aut | |
| 700 | 1 | |a Erdmann, Bodo |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t ZIB-Report |v 2004,1 |w (DE-604)BV013191727 |9 2004,1 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-013004777 | |
Datensatz im Suchindex
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| author | Weiser, Martin Deuflhard, Peter 1944-2019 Erdmann, Bodo |
| author_GND | (DE-588)108205983 |
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| author_role | aut aut aut |
| author_sort | Weiser, Martin |
| author_variant | m w mw p d pd b e be |
| building | Verbundindex |
| bvnumber | BV019676686 |
| classification_rvk | SS 4779 |
| ctrlnum | (OCoLC)60248888 (DE-599)BVBBV019676686 |
| discipline | Informatik |
| format | Book |
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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 |
| oclc_num | 60248888 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| 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 |