Academic Journal
Identification of anN‐valued heterogeneous conductivity profile in an inverse heat conduction problem
| Τίτλος: | Identification of anN‐valued heterogeneous conductivity profile in an inverse heat conduction problem |
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| Συγγραφείς: | Angel A. Ciarbonetti, Sergio Idelsohn, Gisela L. Mazzieri, Ruben D. Spies |
| Πηγή: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Στοιχεία εκδότη: | Wiley, 2024. |
| Έτος έκδοσης: | 2024 |
| Θεματικοί όροι: | Inverse problems, TIKHONOV-PHILLIPS, TERMAL MATERIALS DESIGN, Heat-conduction, Elliptic boundary-value problem, Thermal materials design, 01 natural sciences, Tikhonov-Phillips, HEAT-CONDUCTION, ELLIPTIC BOUNDARY-VALUE PROBLEM, Regularization, REGULARIZATION, 0101 mathematics, INVERSE PROBLEMS, Àrees temàtiques de la UPC::Enginyeria civil |
| Περιγραφή: | SummaryIn this article we deal with the problem of determining a non‐homogeneous ‐valued heat conductivity profile in a steady‐state heat conduction boundary‐value problem with mixed Dirichlet‐Neumann boundary conditions over a bounded domain in , from the knowledge of the temperature field over the whole domain. In a previous work we developed a method based on a variational approach of the PDE leading to an optimality equation which is then projected into a finite dimensional space. Discretization of the optimality equation then yields a linear although severely ill‐posed equation which is then regularized via appropriate ad‐hoc penalizers based upon a‐priori information about the conductivities of all materials present. This process results in a generalized Tikhonov‐Phillips functional whose global minimizer yields our approximate solution to the inverse problem. In our previous work we showed that this approach yields quite satisfactory results in the cases of two different conductivities. We considered here an appropriate extension of that approach for the materials case and show a few numerical examples for the case in which the method is able to produce very good reconstructions of the exact solution. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 1097-0207 0029-5981 |
| DOI: | 10.1002/nme.7578 |
| Σύνδεσμος πρόσβασης: | https://hdl.handle.net/2117/427069 https://doi.org/10.1002/nme.7578 http://hdl.handle.net/11336/258325 |
| Rights: | Wiley Online Library User Agreement CC BY NC SA |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....a65b9ad3670aa6f48d1d4ce5b2368ee3 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 10970207 00295981 |
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| DOI: | 10.1002/nme.7578 |