Print Email Facebook Twitter The Hierarchical Subspace Iteration Method for Computing Vibration Modes of Elastic Objects Title The Hierarchical Subspace Iteration Method for Computing Vibration Modes of Elastic Objects Author van Dijk, Julian (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Hildebrandt, K.A. (mentor) Eisemann, E. (graduation committee) Isufi, E. (graduation committee) Degree granting institution Delft University of Technology Programme Computer Science Date 2023-11-24 Abstract The Hierarchical Subspace Iteration Method is a novel method used to compute eigenpairs of the Laplace-Beltrami problem. It reduces the number of iterations required for convergence by restricting the problem to a smaller space and prolonging the solution as a starting point. This method has shown great performance improvements for Laplace-Beltrami eigenproblems.We propose an adaptation to the Hierarchical Subspace Iteration Method that allows for computing vibration modes of elastic objects. We evaluate potential optimizations that can be made, as well as the performance characteristics of the method. Our method was shown to be faster than SIM in most cases while even beating Matlab's Lanczos solver in some cases. Subject Modal analysisLinear elasticitysubspace iterationvibration modeshierarchical subspace iteration methodcudasimulation To reference this document use: http://resolver.tudelft.nl/uuid:65aa5e5c-1c3e-4b1c-9a7d-72734a17015d Embargo date 2023-11-24 Part of collection Student theses Document type master thesis Rights © 2023 Julian van Dijk Files PDF Thesis_The_Hierarchical_S ... _final.pdf 9.31 MB Close viewer /islandora/object/uuid:65aa5e5c-1c3e-4b1c-9a7d-72734a17015d/datastream/OBJ/view