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Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow

Numerical Analysis 2020-08-05 v1 Computational Engineering, Finance, and Science Numerical Analysis

Abstract

The simulation of complex biological systems such as the description of blood flow in organs requires a lot of computational power as well as a detailed description of the organ physiology. We present a novel Least-Squares discretization method for the simulation of sinusoidal blood flow in liver lobules using a porous medium approach for the liver tissue. The scaling of the different Least-Squares terms leads to a robust algorithm and the inherent error estimator provides an efficient refinement strategy.

Cite

@article{arxiv.2008.01512,
  title  = {Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow},
  author = {Fleurianne Bertrand and Lena Lambers and Tim Ricken},
  journal= {arXiv preprint arXiv:2008.01512},
  year   = {2020}
}
R2 v1 2026-06-23T17:37:54.013Z