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dc.contributor.authorCalo, Victor
dc.contributor.authorPardo, D.
dc.contributor.authorPaszynski, M.
dc.identifier.citationCalo, V. and Pardo, D. and Paszynski, M. 2011. Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations. Procedia Computer Science. 4: pp. 1485-1495.

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.

dc.titleGoal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations
dc.typeConference Paper
dcterms.source.titleProcedia Computer Science
dcterms.source.seriesProcedia Computer Science

Paper presented at Proceedings of the International Conference on Computational Science, ICCS 2011

curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access

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