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| Fältnamn | Indikatorer | Metadata |
|---|---|---|
| 000 | 03647nam a2200409 4500 | |
| 001 | oai:DiVA.org:liu-143031 | |
| 003 | SwePub | |
| 008 | 171116s2017 | |||||||||||000 ||eng| | |
| 020 | a 9789176854044q print | |
| 024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-1430312 URI |
| 024 | 7 | a https://doi.org/10.3384/lic.diva-1430312 DOI |
| 040 | a (SwePub)liu | |
| 041 | a engb eng | |
| 042 | 9 SwePub | |
| 072 | 7 | a vet2 swepub-contenttype |
| 072 | 7 | a lic2 swepub-publicationtype |
| 100 | 1 | a Wokiyi, Dennis,d 1986-u Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten4 aut0 (Swepub:liu)denwo44 |
| 245 | 1 0 | a Non-linear inverse geothermal problems |
| 264 | c 2017-11-16 | |
| 264 | 1 | a Linköping :b Linköping University Electronic Press,c 2017 |
| 300 | a 21 s. | |
| 338 | a electronic2 rdacarrier | |
| 490 | 0 | a Linköping Studies in Science and Technology. Thesis,x 0280-7971 ;v 1791 |
| 520 | a The inverse geothermal problem consist of estimating the temperature distribution below the earth’s surface using temperature and heat-flux measurements on the earth’s surface. The problem is important since temperature governs a variety of the geological processes including formation of magmas, minerals, fosil fuels and also deformation of rocks. Mathematical this problem is formulated as a Cauchy problem for an non-linear elliptic equation and since the thermal properties of the rocks depend strongly on the temperature, the problem is non-linear. This problem is ill-posed in the sense that it does not satisfy atleast one of Hadamard’s definition of well-posedness.We formulated the problem as an ill-posed non-linear operator equation which is defined in terms of solving a well-posed boundary problem. We demonstrate existence of a unique solution to this well-posed problem and give stability estimates in appropriate function spaces. We show that the operator equation is well-defined in appropriate function spaces.Since the problem is ill-posed, regularization is needed to stabilize computations. We demostrate that Tikhonov regularization can be implemented efficiently for solving the operator equation. The algorithm is based on having a code for solving a well- posed problem related to the operator equation. In this study we demostrate that the algorithm works efficiently for 2D calculations but can also be modified to work for 3D calculations. | |
| 650 | 7 | a NATURVETENSKAPx Matematikx Beräkningsmatematik0 (SwePub)101052 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Mathematicsx Computational Mathematics0 (SwePub)101052 hsv//eng |
| 700 | 1 | a Kozlov, Vladimir,c Professor,d 1954-u Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten4 ths0 (Swepub:liu)vlako69 |
| 700 | 1 | a Berntsson, Fredrik,d 1971-u Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten4 ths0 (Swepub:liu)frebe13 |
| 700 | 1 | a Gulliksson, Mårten,c Professoru Örebro universitet, Örebro, Sweden4 opn |
| 710 | 2 | a Linköpings universitetb Matematik och tillämpad matematik4 org |
| 856 | 4 | u https://doi.org/10.3384/lic.diva-143031y Fulltext |
| 856 | 4 | u https://liu.diva-portal.org/smash/get/diva2:1157497/FULLTEXT01.pdfx primaryx Raw objecty fulltext |
| 856 | 4 | u https://liu.diva-portal.org/smash/get/diva2:1157497/COVER01.pdfy cover |
| 856 | 4 | u https://liu.diva-portal.org/smash/get/diva2:1157497/PREVIEW01.pngx Previewy preview image |
| 856 | 4 | u http://liu.diva-portal.org/smash/get/diva2:1157497/FULLTEXT01 |
| 856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-143031 |
| 856 | 4 8 | u https://doi.org/10.3384/lic.diva-143031 |
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