Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems
Numerical Analysis
2023-02-08 v1 Numerical Analysis
Computational Physics
Abstract
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 scalar elliptic problems. We design an effective preconditioner based on approximate block factorization and algebraic multigrid techniques. Numerical results on benchmarks with complex fracture structures demonstrate the effectiveness of the proposed linear solver and its robustness with respect to different physical and discretization parameters.
Cite
@article{arxiv.2206.03203,
title = {Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems},
author = {Xiaozhe Hu and Eirik Keilegavlen and Jan M. Nordbotten},
journal= {arXiv preprint arXiv:2206.03203},
year = {2023}
}