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      A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based flow simulations

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          Abstract

          In this work we propose a novel block preconditioner, labelled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear equations originating from flow simulations in porous media. The flow model is discretized blending the Mixed Hybrid Finite Element (MHFE) method for Darcy's equation with the Finite Volume (FV) scheme for the mass conservation. The EDFA preconditioner is characterized by two features: the exploitation of the system matrix decoupling factors to recast the Schur complement and their inexact fully-parallel computation by means of restriction operators. We introduce two adaptive techniques aimed at building the restriction operators according to the properties of the system at hand. The proposed block preconditioner has been tested through an extensive experimentation on both synthetic and real-case applications, pointing out its robustness and computational efficiency.

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          Author and article information

          Journal
          29 September 2020
          Article
          2009.13916
          1a5c297c-5839-4381-ad7c-842c3a3c0686

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          65F08, 65N08, 65N30
          math.NA cs.NA

          Numerical & Computational mathematics
          Numerical & Computational mathematics

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