Journal
JOURNAL OF COMPUTATIONAL SCIENCE
Volume 65, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.jocs.2022.101880
Keywords
Meshless; Fragile points method; FPM; Cardiac electrophysiology; Monodomain model
Funding
- MCIN/AEI (Spain) [PID2019-105674RB-I00]
- European Research Council [ERC-StG 638284]
- European Union [874827]
- European Social Fund (EU)
- Aragon Government [LMP94_21]
- BSICoS group [T39_20R]
Ask authors/readers for more resources
Meshless methods are becoming popular for simulating cardiac electrophysiology without the need for a mesh. The Fragile Points Method (FPM) is introduced as a new meshless method that allows for accurate integration and improved efficiency, while enabling the imposition of essential boundary conditions.
Meshless methods for in silico modeling and simulation of cardiac electrophysiology are gaining more and more popularity. These methods do not require a mesh and are more suitable than the Finite Element Method (FEM) to simulate the activity of complex geometrical structures like the human heart. However, challenges such as numerical integration accuracy and time efficiency remain, which limit their applicability. Recently, the Fragile Points Method (FPM) has been introduced in the meshless methods family. It uses local, simple, polynomial, discontinuous functions to construct trial and test functions in the Galerkin weak form. This allows for accurate integration and improved efficiency while enabling the imposition of essential and natural boundary conditions as in FEM. In this work, we consider the application of FPM for cardiac electrophysiology simulation. We derive the cardiac monodomain model using the FPM formulation and we solve several benchmark problems in 2D and 3D. We show that FPM leads to solutions of accuracy and efficiency similar to FEM while alleviating the need for a mesh. Additionally, FPM demonstrates comparable convergence to FEM in the considered benchmarks.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available