Refine
Year of publication
- 2020 (59) (remove)
Institute
- Fachbereich Medizintechnik und Technomathematik (59) (remove)
Has Fulltext
- no (59)
Document Type
- Article (44)
- Part of a Book (7)
- Conference Proceeding (4)
- Doctoral Thesis (2)
- Book (1)
- Other (1)
Keywords
- Adaptive control (1)
- Brownian Pillow (1)
- Choleratoxin B (1)
- Conservation laws (1)
- Crámer–von-Mises distance (1)
- Dimensional splitting (1)
- Entropy solution (1)
- Exponential time differencing (1)
- Finite difference methods (1)
- Higher-order codes (1)
Is part of the Bibliography
- no (59)
Elastic transmission eigenvalues and their computation via the method of fundamental solutions
(2020)
A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and isotropic media. Its algorithm can be implemented very shortly and adopts to many similar partial differential equation-based eigenproblems as long as the underlying fundamental solution function can be easily generated. We develop a corroborative approximation analysis which also implicates new basic results for transmission eigenfunctions and present some numerical examples which together prove successful feasibility of our eigenvalue recovery approach.