학술논문

Nonconforming finite element formulation for the simulation of impedance cardiography.
Document Type
Article
Source
International Journal of Numerical Modelling. May2023, Vol. 36 Issue 3, p1-11. 11p.
Subject
*CARDIOGRAPHY
*ELECTRIC flux
*ELECTRIC potential
*SYMMETRIC matrices
Language
ISSN
0894-3370
Abstract
We present a nonconforming Finite Element (FE) formulation for the electro‐quasistatic case. The formulation allows a grid generation for each sub‐domain individually. At the nonconforming interfaces, we apply a Nitsche‐type mortaring, which can also be interpreted as a DG‐IP (Discontinuous Galerkin‐Internal Penalty) formulation. Thereby, the continuity of the electric potential and the electric flux in the discrete setting is guaranteed. The system matrix remains symmetric, and the necessary penalty factor can be chosen in a wide range without deteriorating the numerical solution. The application to impedance cardiography demonstrates the practical applicability, especially its advantage toward simplification of the grid generation. [ABSTRACT FROM AUTHOR]