HAZniCS -多物理场问题的软件组件

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

ACM Transactions on Mathematical Software Pub Date : 2023-10-17 DOI:10.1145/3625561

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

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引用次数: 3

摘要

介绍了用于解决接口耦合多物理场问题的软件工具箱HAZniCS。HAZniCS是一套模块，它结合了著名的FEniCS框架，用于有限元离散与求解器和图形库HAZmath。本文的重点是设计和实现鲁棒和高效的求解算法，以解决与脑生物力学应用中经常遇到的物理问题的复杂接口耦合相关的问题。数值算例显示了数值算法和方法的鲁棒性和效率，即模拟人脑中脑脊液流动的Darcy-Stokes方程和脑组织中电扩散的混合维模型。

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HAZniCS – Software Components for Multiphysics Problems

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 the paper 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 flow of cerebrospinal fluid in the human brain and the mixed-dimensional model of electrodiffusion in the brain tissue.

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来源期刊

ACM Transactions on Mathematical Software 工程技术-计算机：软件工程

CiteScore

5.00

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： As a scientific journal, ACM Transactions on Mathematical Software (TOMS) documents the theoretical underpinnings of numeric, symbolic, algebraic, and geometric computing applications. It focuses on analysis and construction of algorithms and programs, and the interaction of programs and architecture. Algorithms documented in TOMS are available as the Collected Algorithms of the ACM at calgo.acm.org.