Nonconforming finite element formulation for the simulation of impedance cardiography

Manfred Kaltenbacher*, Vahid Badeli, Alice Reinbacher-Koestinger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article numbere3063
JournalInternational Journal of Numerical Modelling
Early online date16 Sep 2022
DOIs
Publication statusE-pub ahead of print - 16 Sep 2022

Keywords

  • finite elements
  • impedance cardiography
  • nonconforming grid

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Modelling and Simulation

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