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Adaptive mesh refinement techniques for 3-D skin electrode modeling.

Bartosz Sawicki¹, Michal Okoniewski

¹Schulich School of Engineering, University of Calgary, Calgary, AB, Canada. sawickib@gmail.com

IEEE Transactions on Bio-Medical Engineering

|October 1, 2009

Summary

This study introduces a 3-D adaptive mesh refinement technique for complex simulations. The method significantly improves solution accuracy, especially near current injection points in human body models.

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Area of Science:

Computational Science
Numerical Methods
Biomedical Engineering

Background:

Accurate simulation of current distribution is crucial for applications like electric impedance tomography.
Traditional mesh methods struggle with localized high gradients, leading to inaccuracies.
Adaptive mesh refinement (AMR) offers a potential solution for improving computational efficiency and accuracy.

Purpose of the Study:

To develop and evaluate a novel 3-D adaptive mesh refinement technique.
To apply the technique to solve the electric impedance tomography forward problem.
To assess the method's effectiveness in simulating current distribution in a human body model.

Main Methods:

Development of a 3-D adaptive mesh refinement algorithm.
Integration with the finite-element method for problem-solving.
Application to model current flow through skin contact electrodes in a human body model.

Main Results:

The adaptive mesh refinement technique significantly improved solution accuracy.
Enhanced precision was particularly noted in regions near the electrodes.
The algorithm demonstrated efficiency and maintained mesh quality during refinement.

Conclusions:

The developed 3-D AMR technique is effective for improving simulation accuracy in complex problems.
The method shows particular promise for electric impedance tomography and related biomedical simulations.
The technique offers a robust approach for handling localized solution features and preserving mesh integrity.