Print Email Facebook Twitter Fourier Analysis of Iterative Methods for the Helmholtz Problem Title Fourier Analysis of Iterative Methods for the Helmholtz Problem Author Diao, H. Contributor Vuik, C. (mentor) Faculty Electrical Engineering, Mathematics and Computer Science Department Applied mathematics Programme Computer Simulation for Science and Engineering Date 2012-12-20 Abstract This thesis attempts to explain the convergence behaviour of solving Helmholtz problem by investigating its spectral properties. Fourier analysis is employ to solve the eigenvalues of the matrices that are involved in the iterative methods. The numerical experiment is conducted to verify the conclusions by Fourier analysis and also to reveal some other convergence behaviour. Subject Helmholtz problemKrylov subspace methodsmultigrid methodmultilevel Krylov multigrid methodshifted Laplacian preconditionerdeflation operatorFourier analysis To reference this document use: http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8 Embargo date 2012-12-20 Part of collection Student theses Document type master thesis Rights (c) 2012 Diao, H. Files PDF hanzhi.diao_msc.thesis.pdf 1.42 MB Close viewer /islandora/object/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8/datastream/OBJ/view