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An Efficient Parallel MLPG Method for Poroelastic Models

Luca Bergamaschi1,2, ,Ángeles Martínez2, Giorgio Pini2
Corresponding author. Tel.: 0039 049 8271307. E-mail: berga@dmsa.unipd.it
Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Padova. Via Trieste 63, 35127 Padova, Italy

Computer Modeling in Engineering & Sciences 2009, 49(3), 191-216. https://doi.org/10.3970/cmes.2009.049.191

Abstract

A meshless model, based on the Meshless Local Petrov-Galerkin (MLPG) approach, is developed and implemented in parallel for the solution of axi-symmetric poroelastic problems. The parallel code is based on a concurrent construction of the stiffness matrix by the processors and on a parallel preconditioned iterative method of Krylov type for the solution of the resulting linear system. The performance of the code is investigated on a realistic application concerning the prediction of land subsidence above a deep compacting reservoir. The overall code is shown to obtain a very high parallel efficiency (larger than 78% for the solution phase) and it is successfully applied to the solution of a poroelastic problem with a fine discretization which produces a linear system with more than 6 million equations using up to 512 processors on the HPCx supercomputer.

Keywords

meshless method, poroelasticity, preconditioners, parallel computations, scalability

Cite This Article

Bergamaschi, L., Martínez, ,., Pini, G. (2009). An Efficient Parallel MLPG Method for Poroelastic Models. CMES-Computer Modeling in Engineering & Sciences, 49(3), 191–216.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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