Parallel and explicit time integration of transient nonlinear magneto- and electroquasistatic fields / von Jennifer Susanne Dutiné, M. Sc. Wuppertal, 08.04.2020
Inhalt
- List of Figures
- List of Tables
- List of Algorithms
- List of Abbreviations
- List of Symbols
- Introduction
- Mathematical Description of Electromagnetic Field Problems
- Discretization of Partial Differential Equations in Space and Time
- The Finite Element Method
- FEM applied to the PDE of Magnetoquasistatic Field Problems
- FEM Applied to the PDE of Electroquasistatic Field Problems
- Time Integration Methods
- Solving Large Systems of Algebraic Equations
- (Semi-) Explicit Time Integration of the Magnetoquasistatic Field Problem
- Application of the Moore-Penrose Pseudo-Inverse
- Improved Start Vector Generation Within Semi-Explicit Time Stepping
- Subspace Projection Extrapolation and Cascaded Subspace Projection Extrapolation
- Proper Orthogonal Decomposition for MRHS Problems
- Numerical Validation: Improved Start Vectors
- Selective Matrix Update Bypass Strategy
- GPU-Accelerated Inverse Computations
- Parallel-In-Time Integration of Transient Electroquasistatic Field Problems Using Parareal
- Conclusion and Outlook
- Bibliography
- Publications by the Author