17 citations · 26 across the 7 of their papers we have counts for
7 papers · 1 filter
Algebraic multigrid methods for metric-perturbed coupled problems
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta +2
We develop multilevel methods for interface-driven multiphysics problems that can be coupled across dimensions and where complexity and strength of the interface coupling deteriora…
HAZniCS -- Software Components for Multiphysics Problems
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta +2
We introduce the software toolbox HAZniCS for solving interface-coupled multiphysics problems. HAZniCS is a suite of modules that combines the well-known FEniCS framework for finit…
Rational approximation preconditioners for multiphysics problems
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta +2
We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces of the fields lie (approximately) in the…
Mixed-Dimensional Auxiliary Space Preconditioners
Ana Budisa, Wietse Boon, Xiaozhe Hu
This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and gen…
Robust linear domain decomposition schemes for reduced non-linear fracture flow models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša +3
In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Usi…
Block Preconditioners for Mixed-dimensional Discretization of Flow in Fractured Porous Media
Ana Budiša, Xiaozhe Hu
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 f…
A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša
In this paper, a multiscale flux basis algorithm is developed to efficiently solve a flow problem in fractured porous media. Here, we take into account a mixed-dimensional setting…