Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations
In this paper we present a goal-oriented self-adaptive hp Finite Element Method (hp-FEM) with shared data structures and a parallel multi-frontal direct solver. The algorithm automatically generates (without any user interaction) a sequence of meshes delivering exponential convergence of a prescribe...
| Main Authors: | , , |
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| Format: | Conference Paper |
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2011
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| Online Access: | http://hdl.handle.net/20.500.11937/51617 |
| _version_ | 1848758742180429824 |
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| author | Calo, Victor Pardo, D. Paszynski, M. |
| author_facet | Calo, Victor Pardo, D. Paszynski, M. |
| author_sort | Calo, Victor |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we present a goal-oriented self-adaptive hp Finite Element Method (hp-FEM) with shared data structures and a parallel multi-frontal direct solver. The algorithm automatically generates (without any user interaction) a sequence of meshes delivering exponential convergence of a prescribed quantity of interest with respect to the number of degrees of freedom. The sequence of meshes is generated from a given initial mesh, by performing h (breaking elements into smaller elements), p (adjusting polynomial orders of approximation) or hp (both) refinements on the finite elements. The new parallel implementation utilizes a computational mesh shared between multiple processors. All computational algorithms, including automatic hp goal-oriented adaptivity and the solver work fully in parallel. We describe the parallel self-adaptive hp-FEM algorithm with shared computational domain, as well as its efficiency measurements. We apply the methodology described to the three-dimensional simulation of the borehole resistivity measurement of direct current through casing in the presence of invasion. © 2011 Published by Elsevier Ltd. |
| first_indexed | 2025-11-14T09:48:49Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51617 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:48:49Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-516172017-09-13T15:41:42Z Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations Calo, Victor Pardo, D. Paszynski, M. In this paper we present a goal-oriented self-adaptive hp Finite Element Method (hp-FEM) with shared data structures and a parallel multi-frontal direct solver. The algorithm automatically generates (without any user interaction) a sequence of meshes delivering exponential convergence of a prescribed quantity of interest with respect to the number of degrees of freedom. The sequence of meshes is generated from a given initial mesh, by performing h (breaking elements into smaller elements), p (adjusting polynomial orders of approximation) or hp (both) refinements on the finite elements. The new parallel implementation utilizes a computational mesh shared between multiple processors. All computational algorithms, including automatic hp goal-oriented adaptivity and the solver work fully in parallel. We describe the parallel self-adaptive hp-FEM algorithm with shared computational domain, as well as its efficiency measurements. We apply the methodology described to the three-dimensional simulation of the borehole resistivity measurement of direct current through casing in the presence of invasion. © 2011 Published by Elsevier Ltd. 2011 Conference Paper http://hdl.handle.net/20.500.11937/51617 10.1016/j.procs.2011.04.161 http://creativecommons.org/licenses/by-nc-nd/3.0/ fulltext |
| spellingShingle | Calo, Victor Pardo, D. Paszynski, M. Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title | Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title_full | Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title_fullStr | Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title_full_unstemmed | Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title_short | Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations |
| title_sort | goal-oriented self-adaptive hp finite element simulation of 3d dc borehole resistivity simulations |
| url | http://hdl.handle.net/20.500.11937/51617 |