Fictitious domain method for an inverse problem in volcanoes
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 so...
Main Authors: | , , , |
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Other Authors: | , , , , , , , , , , , , , , , , , , , , , , , , |
Format: | Book |
Language: | English |
Published: |
HAL CCSD
2020
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Subjects: | |
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 |
Summary: | 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. |
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