×

zbMATH — the first resource for mathematics

A mortar BDD method for solving flow in stochastic discrete fracture networks. (English) Zbl 1380.74112
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 99-112 (2014).
Summary: In this paper, flow in Discrete Fracture Networks (DFN) is solved using a Mortar Mixed Hybrid Finite Element Method. To solve large linear systems derived from a nonconforming discretization of stochastic fractured networks, a Balancing Domain Decomposition is used. Tests on three stochastically generated DFN are proposed to show the ability of the iterative solver SIDNUR to solve the flow problem.
For the entire collection see [Zbl 1381.65002].

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
Software:
CHOLMOD; SIDNUR
PDF BibTeX XML Cite
Full Text: DOI