Nüßing, Andreas: Fitted and unfitted finite element methods for solving the EEG forward problem. 2018
Inhalt
- Notations and Abbreviations
- List of Figures
- List of Tables
- Introduction
- Physiological and Mathematical Background
- The EEG Forward Problem
- A Conforming Finite Element Method
- A Discontinuous Galerkin Finite Element Method
- A Mixed Finite Element Method
- Conclusion
- Source Models for Modern Finite Element Methods
- Source Models Following the Principle of St. Venant
- The St. Venant Source Model for Discontinuous Galerkin
- A Localization of the Subtraction Source Model
- Conclusion
- Unfitted Finite Element Methods for Solving the EEG Forward Problem
- A Cut Finite Element Method
- An Unfitted Discontinuous Galerkin Method
- Source Models for Cut-Cell Methods
- Validation Studies
- Conclusion
- Implementational Aspects of Cut-Cell Methods
- Geometric Integration Over Implicitly Defined Domains
- Algebraic Multigrid Preconditioner for Cut-Cell Methods
- Conclusion
- duneuro - A Software Toolbox for Forward Modeling in Neuroscience
- Library Interfaces
- Element Localization
- Interface to Scripting Languages
- Example: Source Analysis of Somatosensory Evoked Potentials
- Conclusion
- Summary and Outlook
- Appendix
- Bibliography