Goal-Oriented Self-Adaptive hp Finite Element Simulation of 3D DC Borehole Resistivity Simulations

Handle URI:
http://hdl.handle.net/10754/552551
Title:
Goal-Oriented Self-Adaptive hp Finite Element Simulation of 3D DC Borehole Resistivity Simulations
Authors:
Calo, Victor M. ( 0000-0002-1805-4045 ) ; Pardo, David; Paszyński, Maciej R.
Abstract:
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Earth Science and Engineering Program
Citation:
Goal-Oriented Self-Adaptive hp Finite Element Simulation of 3D DC Borehole Resistivity Simulations 2011, 4:1485 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
11th International Conference on Computational Science, ICCS 2011
Issue Date:
14-May-2011
DOI:
10.1016/j.procs.2011.04.161
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050911002195
Appears in Collections:
Conference Papers; Earth Science and Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCalo, Victor M.en
dc.contributor.authorPardo, Daviden
dc.contributor.authorPaszyński, Maciej R.en
dc.date.accessioned2015-05-10T14:31:12Zen
dc.date.available2015-05-10T14:31:12Zen
dc.date.issued2011-05-14en
dc.identifier.citationGoal-Oriented Self-Adaptive hp Finite Element Simulation of 3D DC Borehole Resistivity Simulations 2011, 4:1485 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2011.04.161en
dc.identifier.urihttp://hdl.handle.net/10754/552551en
dc.description.abstractIn 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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050911002195en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectHp-FEMen
dc.subjectGoal-oriented adaptivityen
dc.subjectParallel data structuresen
dc.titleGoal-Oriented Self-Adaptive hp Finite Element Simulation of 3D DC Borehole Resistivity Simulationsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2011-06-01 to 2011-06-03en
dc.conference.name11th International Conference on Computational Science, ICCS 2011en
dc.conference.locationSingapore, SGPen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Applied Mathematics, Statistics, and Operational Research, Univsersity of the Basque Country and Ikerbasque, Bilbao, Spainen
dc.contributor.institutionDepartment of Computer Science, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Polanden
kaust.authorCalo, Victor M.en
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