Print Email Facebook Twitter Iterative solutions to sequences of Helmholtz equations Title Iterative solutions to sequences of Helmholtz equations Author De Gier, J.M. Contributor Van Gijzen, M.B. (mentor) Faculty Electrical Engineering, Mathematics and Computer Science Department Applied mathematics Programme Numerical linear algebra Date 2012-08-29 Abstract We consider sequences of linear systems of equations that follow from the differential equations that describe the acoustics of a car, where the solution to a single linear system corresponds to the pressure perturbations that are caused by acoustic waves of a certain frequency. We consider several iterative numerical methods which belong to the class of Krylov subspace methods and that solve these linear systems. In addition we investigate a particular type of so-called preconditioning, which is a specific procedure that rewrites the system into a form that is more suitable for the numerical methods. Subject sequenceHelmholtzIDR(s)IDRshiftedLaplacepreconditioning To reference this document use: http://resolver.tudelft.nl/uuid:df32d6be-c58c-4e69-b52d-23a10b29b19c Embargo date 2012-08-29 Part of collection Student theses Document type master thesis Rights (c) 2012 De Gier, J.M. Files PDF Thesis_JMdeGier.pdf 4.79 MB Close viewer /islandora/object/uuid:df32d6be-c58c-4e69-b52d-23a10b29b19c/datastream/OBJ/view