Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations
|dc.identifier.citation||Calo, 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.title||Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations|
|dcterms.source.title||Procedia Computer Science|
|dcterms.source.series||Procedia Computer Science|
Paper presented at Proceedings of the International Conference on Computational Science, ICCS 2011
|curtin.department||Department of Applied Geology|