Piastra, Maria Carla; Nüßing, Andreas; Vorwerk, Johannes; Bornfleth, Harald; Oostenveld, Robert; Engwer, Christian; Wolters, Carsten H.: The Discontinuous Galerkin Finite Element Method for Solving the MEG and the Combined MEG/EEG Forward Problem
Inhalt
- 2. Theory
- 2.1. Background
- 2.1.1. The Forward Problem of EEG
- 2.1.2. Conservation Properties
- 2.1.3. The Forward Problem of MEG
- 2.1.4. The Forward Problem of MEG for Multi-layer Homogeneous Sphere Model
- 2.2. The EEG Forward Problem
- 2.3. The MEG Forward Problem
- 2.3.1. The Subtraction Approach in the MEG Case
- 2.3.2. CG-FEM MEG Forward Problem
- 2.3.3. Conservative Flux DG-FEM MEG Forward Problem
- 2.4. Transfer Matrix Approach
- 3. Methods
- 3.1. Implementation
- 3.2. Volume Conductor Models
- 3.3. Sources and Sensors
- 3.4. Error Measures
- 3.5. A Leaky Model
- 3.6. A Realistic Head Model
- 4. Results
- 4.1. Validations and Evaluations in Spherical Volume Conductor Models
- 4.1.1. Preparatory Work Using Analytical Approach
- 4.1.2. FEM Study 1: Conservative vs. Non-conservative Flux for DG Approach
- 4.1.3. FEM Study 2: Convergence of DG Approach
- 4.1.4. FEM Study 3: Comparison between CG and DG
- 4.1.5. FEM Study 4: CG and DG in a Leaky Sphere Model
- 4.2. DG-FEM MEG Study in a Realistic Head Model
- 5. Discussion
- 6. Conclusions
- Author Contributions
- Funding
- Acknowledgments
- References