Fictitious domain method for an inverse problem in volcanoes
co-auteur étranger International audience An inverse problem applied to volcanology is studied. It consists in the determination of the pressure applied to a crack in order to fit observed ground deformations. The deformation of the volcano is assumed to be governed by a linear elasticity PDE. The d...
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HAL CCSD
2020
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Online Access: | https://hal.uca.fr/hal-02325032 https://hal.uca.fr/hal-02325032/document https://hal.uca.fr/hal-02325032/file/BCDK_DD25_revised.pdf |
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[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.STU.VO]Sciences of the Universe [physics]/Earth Sciences/Volcanology |
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[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.STU.VO]Sciences of the Universe [physics]/Earth Sciences/Volcanology Bodart, Olivier Cayol, Valérie Dabaghi, Farshid Koko, Jonas Fictitious domain method for an inverse problem in volcanoes |
topic_facet |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.STU.VO]Sciences of the Universe [physics]/Earth Sciences/Volcanology |
description |
co-auteur étranger International audience An inverse problem applied to volcanology is studied. It consists in the determination of the pressure applied to a crack in order to fit observed ground deformations. The deformation of the volcano is assumed to be governed by a linear elasticity PDE. The direct problem is solved via a fictitious domain method, using a finite element discretization of XFEM type. The gradient of the cost function is derived from a Lagrangian. A numerical test is presented. |
author2 |
Institut Camille Jordan (ICJ) École Centrale de Lyon (ECL) Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS) Université Jean Monnet - Saint-Étienne (UJM) Laboratoire Magmas et Volcans (LMV) Institut national des sciences de l'Univers (INSU - CNRS)-Institut de Recherche pour le Développement et la société-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Observatoire de Physique du Globe de Clermont-Ferrand (OPGC) Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA) Institut national des sciences de l'Univers (INSU - CNRS)-Université Jean Monnet - Saint-Étienne (UJM)-Institut de Recherche pour le Développement et la société-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS)-Observatoire de Physique du Globe de Clermont-Ferrand (OPGC) Institut national des sciences de l'Univers (INSU - CNRS)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS) Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS) Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS) French Government Laboratory of Excellence initiative no.ANR-10-LABX-0006 Haynes R. MacLachlan S. Cai X.-C. Halpern L. Kim H.H. Klawonn A. Widlund ANR-10-LABX-0006,CLERVOLC,Clermont-Ferrand centre for research on volcanism(2010) ANR-16-IDEX-0001,CAP 20-25,CAP 20-25(2016) |
format |
Conference Object |
author |
Bodart, Olivier Cayol, Valérie Dabaghi, Farshid Koko, Jonas |
author_facet |
Bodart, Olivier Cayol, Valérie Dabaghi, Farshid Koko, Jonas |
author_sort |
Bodart, Olivier |
title |
Fictitious domain method for an inverse problem in volcanoes |
title_short |
Fictitious domain method for an inverse problem in volcanoes |
title_full |
Fictitious domain method for an inverse problem in volcanoes |
title_fullStr |
Fictitious domain method for an inverse problem in volcanoes |
title_full_unstemmed |
Fictitious domain method for an inverse problem in volcanoes |
title_sort |
fictitious domain method for an inverse problem in volcanoes |
publisher |
HAL CCSD |
publishDate |
2020 |
url |
https://hal.uca.fr/hal-02325032 https://hal.uca.fr/hal-02325032/document https://hal.uca.fr/hal-02325032/file/BCDK_DD25_revised.pdf |
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St Johns, Newfoundland, Canada |
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Canada |
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Canada |
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Newfoundland |
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Newfoundland |
op_source |
Domain Decomposition Methods in Science and Engineering XXV Series: Lecture Notes in Computational Science and Engineering, https://hal.uca.fr/hal-02325032 Haynes, R., MacLachlan, S., Cai, X.-C., Halpern, L., Kim, H.H., Klawonn, A., Widlund,. Domain Decomposition Methods in Science and Engineering XXV Series: Lecture Notes in Computational Science and Engineering,, St Johns, Newfoundland, Canada. 138, Springer International Publishing, pp.498, 2020 |
op_relation |
hal-02325032 https://hal.uca.fr/hal-02325032 https://hal.uca.fr/hal-02325032/document https://hal.uca.fr/hal-02325032/file/BCDK_DD25_revised.pdf |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
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1768391981264797696 |
spelling |
ftanrparis:oai:HAL:hal-02325032v1 2023-06-11T04:14:10+02:00 Fictitious domain method for an inverse problem in volcanoes Bodart, Olivier Cayol, Valérie Dabaghi, Farshid Koko, Jonas Institut Camille Jordan (ICJ) École Centrale de Lyon (ECL) Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS) Université Jean Monnet - Saint-Étienne (UJM) Laboratoire Magmas et Volcans (LMV) Institut national des sciences de l'Univers (INSU - CNRS)-Institut de Recherche pour le Développement et la société-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Observatoire de Physique du Globe de Clermont-Ferrand (OPGC) Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA) Institut national des sciences de l'Univers (INSU - CNRS)-Université Jean Monnet - Saint-Étienne (UJM)-Institut de Recherche pour le Développement et la société-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS)-Observatoire de Physique du Globe de Clermont-Ferrand (OPGC) Institut national des sciences de l'Univers (INSU - CNRS)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS) Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS) Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Université Clermont Auvergne 2017-2020 (UCA 2017-2020 )-Centre National de la Recherche Scientifique (CNRS) French Government Laboratory of Excellence initiative no.ANR-10-LABX-0006 Haynes R. MacLachlan S. Cai X.-C. Halpern L. Kim H.H. Klawonn A. Widlund ANR-10-LABX-0006,CLERVOLC,Clermont-Ferrand centre for research on volcanism(2010) ANR-16-IDEX-0001,CAP 20-25,CAP 20-25(2016) St Johns, Newfoundland, Canada 2020 https://hal.uca.fr/hal-02325032 https://hal.uca.fr/hal-02325032/document https://hal.uca.fr/hal-02325032/file/BCDK_DD25_revised.pdf en eng HAL CCSD Springer International Publishing hal-02325032 https://hal.uca.fr/hal-02325032 https://hal.uca.fr/hal-02325032/document https://hal.uca.fr/hal-02325032/file/BCDK_DD25_revised.pdf http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess Domain Decomposition Methods in Science and Engineering XXV Series: Lecture Notes in Computational Science and Engineering, https://hal.uca.fr/hal-02325032 Haynes, R., MacLachlan, S., Cai, X.-C., Halpern, L., Kim, H.H., Klawonn, A., Widlund,. Domain Decomposition Methods in Science and Engineering XXV Series: Lecture Notes in Computational Science and Engineering,, St Johns, Newfoundland, Canada. 138, Springer International Publishing, pp.498, 2020 [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.STU.VO]Sciences of the Universe [physics]/Earth Sciences/Volcanology info:eu-repo/semantics/other Proceedings 2020 ftanrparis 2023-05-28T22:18:01Z co-auteur étranger International audience An inverse problem applied to volcanology is studied. It consists in the determination of the pressure applied to a crack in order to fit observed ground deformations. The deformation of the volcano is assumed to be governed by a linear elasticity PDE. The direct problem is solved via a fictitious domain method, using a finite element discretization of XFEM type. The gradient of the cost function is derived from a Lagrangian. A numerical test is presented. Conference Object Newfoundland Portail HAL-ANR (Agence Nationale de la Recherche) Canada |