ArticleComputational mechanics2017
A stabilized finite element method for finite-strain three-field poroelasticity.
Article in Computational mechanics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- A Poroelastic Computational Modeling Framework Coupling Left Ventricular Cardiac Mechanics and Myocardial Perfusion.International journal for numerical methods in biomedical engineering · 2026Article
- A multi-compartment homogenized perfusion model for deforming hierarchical vasculature.Biomechanics and modeling in mechanobiology · 2025Article
- Mechanical properties of the premature lung: From tissue deformation under load to mechanosensitivity of alveolar cells.Frontiers in bioengineering and biotechnology · 2022Article
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Authors and funding
4 authors.
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Abstract
We construct a stabilized finite-element method to compute flow and finite-strain deformations in an incompressible poroelastic medium. We employ a three-field mixed formulation to calculate displacement, fluid flux and pressure directly and introduce a Lagrange multiplier to enforce flux boundary conditions. We use a low order approximation, namely, continuous piecewise-linear approximation for the displacements and fluid flux, and piecewise-constant approximation for the pressure. This results in a simple matrix structure with low bandwidth. The method is stable in both the limiting cases of small and large permeability. Moreover, the discontinuous pressure space enables efficient approximation of steep gradients such as those occurring due to rapidly changing material coefficients or boundary conditions, both of which are commonly seen in physical and biological applications.
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