Blar i Bergen Open Research Archive på forfatter "Hu, Xiaozhe"
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Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
Budisa, Ana; Hu, Xiaozhe (Journal article; Peer reviewed, 2021)In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces fractures and their intersections as ... -
Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems
Hu, Xiaozhe; Keilegavlen, Eirik; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2023)Discretization of flow in fractured porous media commonly lead to large systems of linear equations that require dedicated solvers. In this work, we develop an efficient linear solver and its practical implementation for ... -
Mixed-dimensional auxiliary space preconditioners
Budisa, Ana; Boon, Wietse; Hu, Xiaozhe (Journal article; Peer reviewed, 2020)This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this ... -
Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap
Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)In this work, we show the underlying mathematical structure of mixed-dimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ...