HAZniCS - Software Components for Multiphysics Problems

Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent André Mardal, Ludmil T. Zikatanov

Research output: Contribution to journalArticlepeer-review

Abstract

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 finite element discretization with solver and graph library HAZmath. The focus of this article is on the design and implementation of robust and efficient solver algorithms which tackle issues related to the complex interfacial coupling of the physical problems often encountered in applications in brain biomechanics. The robustness and efficiency of the numerical algorithms and methods is shown in several numerical examples, namely the Darcy-Stokes equations that model the flow of cerebrospinal fluid in the human brain and the mixed-dimensional model of electrodiffusion in the brain tissue.

Original languageEnglish (US)
Article number36
JournalACM Transactions on Mathematical Software
Volume49
Issue number4
DOIs
StatePublished - Dec 15 2023

All Science Journal Classification (ASJC) codes

  • Software
  • Applied Mathematics

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