Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing
This paper is devoted to the reconstruction of objects buried in a medium and their material properties by hybrid topological derivative-gradient based methods. After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomogra...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/816134 |
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| _version_ | 1832545650666897408 |
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| author | A. Carpio M.-L. Rapún |
| author_facet | A. Carpio M.-L. Rapún |
| author_sort | A. Carpio |
| collection | DOAJ |
| description | This paper is devoted to the reconstruction of objects buried in a medium and their material properties by hybrid topological derivative-gradient based methods. After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomography problems with continuous Neumann conditions, we extend the hybrid method for a realistic model in tomography where the boundary conditions are
given at a discrete set of electrodes. |
| format | Article |
| id | doaj-art-743b53e400fa40c8908d851a00e3edd7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-743b53e400fa40c8908d851a00e3edd72025-02-03T07:25:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/816134816134Hybrid Topological Derivative-Gradient Based Methods for Nondestructive TestingA. Carpio0M.-L. Rapún1Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, SpainDepartamento de Fundamentos Matematicos, Universidad Politécnica de Madrid, 28040 Madrid, SpainThis paper is devoted to the reconstruction of objects buried in a medium and their material properties by hybrid topological derivative-gradient based methods. After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomography problems with continuous Neumann conditions, we extend the hybrid method for a realistic model in tomography where the boundary conditions are given at a discrete set of electrodes.http://dx.doi.org/10.1155/2013/816134 |
| spellingShingle | A. Carpio M.-L. Rapún Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing Abstract and Applied Analysis |
| title | Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing |
| title_full | Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing |
| title_fullStr | Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing |
| title_full_unstemmed | Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing |
| title_short | Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing |
| title_sort | hybrid topological derivative gradient based methods for nondestructive testing |
| url | http://dx.doi.org/10.1155/2013/816134 |
| work_keys_str_mv | AT acarpio hybridtopologicalderivativegradientbasedmethodsfornondestructivetesting AT mlrapun hybridtopologicalderivativegradientbasedmethodsfornondestructivetesting |