Use of the AmgX Library for Solving Problems Related to Cardiac Mechanics
DOI:
https://doi.org/10.14295/vetor.v33i2.16420Keywords:
Computational modeling, Linear systems, Multigrid methods, GPUAbstract
The solution of linear systems plays a fundamental role in computer simulation software based on mathematical models to advance contemporary scientific research. Consequently, there is a growing demand for numerical methods and efficient implementations to face this challenge, particularly in the context of biomedical engineering where it is desired to use these simulators to create digital twins of patients and study certain pathological conditions. This work aims to explore and identify efficient techniques to solve linear systems related to the problem of cardiac biomechanics, thus accelerating simulations related to the intricate human cardiovascular system. To achieve this goal, several multigrid methods available in the AmgX library were selected, which were tested and analyzed in terms of their computational performance. As an initial step, problems based on Poisson's equation were solved considering simplified and complex geometries such as a cube and a human left ventricle. This study revealed distinct advantages associated with each method, depending on the complexity and format of the problems at hand.
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