# lifex: a flexible, high performance library for the numerical solution of complex finite element problems

arXiv: https://arxiv.org/abs/2207.14668 · HTML: https://mlsanity.com/paper/2207.14668/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Jul 2022.

## Built on by (most cited first, 2 of 2)

- [Shape-informed cardiac mechanics surrogates in data-scarce regimes via geometric encoding and generative augmentation](https://mlsanity.com/paper/2602.20306/) (2026)
- [Learning cardiac activation and repolarization times with operator learning](https://mlsanity.com/paper/2505.08631/) (2025)

## Abstract (arXiv)

Numerical simulations are ubiquitous in mathematics and computational science. Several industrial and clinical applications entail modeling complex multiphysics systems that evolve over a variety of spatial and temporal scales. This study introduces the design and capabilities of lifex, an open source C++ library for high performance finite element simulations of multiphysics, multiscale, and multidomain problems. lifex meets the emerging need for versatile, efficient computational tools that are easily accessed by users and developers. We showcase its flexibility and effectiveness on a number of illustrative examples and advanced applications of use and demonstrate its parallel performance up to thousands of cores.