HAZniCS – Software Components for Multiphysics Problems-Reference-Cited by-同舟云学术

HAZniCS – Software Components for Multiphysics Problems

Published:2023-12-15 Issue:4 Volume:49 Page:1-23
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Budiša Ana¹^ORCID,Hu Xiaozhe²^ORCID,Kuchta Miroslav¹^ORCID,Mardal Kent-André³^ORCID,Zikatanov Ludmil T.⁴^ORCID

Affiliation:

1. Simula Research Laboratory, Oslo, Norway

2. Department of Mathematics, Tufts University, Medford, Massachusetts

3. Department of Mathematics, University of Oslo, Oslo, Norway

4. Department of Mathematics, Penn State, University Park, Pennsylvania

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.

Funder

Norwegian Research Council

National Science Foundation

U.S.-Norway Fulbright Foundation

U.S. National Science Foundation

NSF

Numerical Modeling with Neural Networks, Learning, and Multilevel FE

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/3625561

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