Homogenization for a nonlocal coupling model:
Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in...
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| Main Author: | |
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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
2004,50 |
| Subjects: | |
| Summary: | Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." |
| Physical Description: | 15 S. |
Staff View
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| 245 | 1 | 0 | |a Homogenization for a nonlocal coupling model |c Reinhard Hochmuth |
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| 520 | 3 | |a Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Homogenization (Differential equations) | |
| 650 | 4 | |a Thermodynamics | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t ZIB-Report |v 2004,50 |w (DE-604)BV013191727 |9 2004,50 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-013004397 | |
Record in the Search Index
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| author_facet | Hochmuth, Reinhard |
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| bvnumber | BV019676301 |
| classification_rvk | SS 4779 |
| ctrlnum | (OCoLC)60248889 (DE-599)BVBBV019676301 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV019676301 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013004397 |
| oclc_num | 60248889 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 15 S. |
| 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 | Hochmuth, Reinhard Verfasser aut Homogenization for a nonlocal coupling model Reinhard Hochmuth Berlin Konrad-Zuse-Zentrum für Informationstechnik 2004 15 S. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2004,50 Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." Boundary value problems Homogenization (Differential equations) Thermodynamics Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2004,50 (DE-604)BV013191727 2004,50 |
| spellingShingle | Hochmuth, Reinhard Homogenization for a nonlocal coupling model Boundary value problems Homogenization (Differential equations) Thermodynamics |
| title | Homogenization for a nonlocal coupling model |
| title_auth | Homogenization for a nonlocal coupling model |
| title_exact_search | Homogenization for a nonlocal coupling model |
| title_full | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_fullStr | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_full_unstemmed | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_short | Homogenization for a nonlocal coupling model |
| title_sort | homogenization for a nonlocal coupling model |
| topic | Boundary value problems Homogenization (Differential equations) Thermodynamics |
| topic_facet | Boundary value problems Homogenization (Differential equations) Thermodynamics |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT hochmuthreinhard homogenizationforanonlocalcouplingmodel |