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Detalji o izabranom predavanju:
| Seminar: | Seminar za numeričku matematiku i znan. računanje |
| Naziv predavanja: | Randomised subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems |
| Predavač: | Luka Grubišić |
| Vrijeme: |
12.05.2022 13:15 |
| Predavaonica: | 105 |
| Tip: |
Originalan rad |
| Opis: | This talk is part of the RandLRAP project workshop and is jointly hosted within the seminar.
We propose a method to accelerate the solution of 3D FEM-discretized nonlinear eigenvalue problems by drastically reducing the problem dimension. Our method yields a reduced order model (ROM) via a projection onto a suitable subspace, with eigenpairs identical to the full problem in a region of the complex plane. The subspace is automatically constructed by solving the full problem at a few random points inside the region of interest. The method requires minimal user input and, although exemplified for with a thermoacoustic application, readily generalizes to applications dealing with other vibrational problems. We also consider further improvements to the method using structured random vectors as preconditioners. |
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