This thesis approaches the solution of the linearized finite element discretization of the Navier-Stokes operator matrix via the use of Krylov subspace methods preconditioned by SIMPLE-type pre conditioners aided by deflation. It includes an explanation of the theoretical setting of the problem as well as a collection of numerical experiments which lead to the construction of a two-level preconditioned GMRES algorithm.
%0 Thesis
%1 serur2013iterative
%A Serur, Carlos Echeverria
%D 2013
%K 65f08-preconditioners-for-iterative-methods 65f10-iterative-methods-for-linear-systems 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics
%T Fast iterative methods for solving the incompressible Navier-Stokes equations
%U http://ta.twi.tudelft.nl/nw/users/vuik/numanal/echeverria_scriptie.pdf
%X This thesis approaches the solution of the linearized finite element discretization of the Navier-Stokes operator matrix via the use of Krylov subspace methods preconditioned by SIMPLE-type pre conditioners aided by deflation. It includes an explanation of the theoretical setting of the problem as well as a collection of numerical experiments which lead to the construction of a two-level preconditioned GMRES algorithm.
@mastersthesis{serur2013iterative,
abstract = {This thesis approaches the solution of the linearized finite element discretization of the Navier-Stokes operator matrix via the use of Krylov subspace methods preconditioned by SIMPLE-type pre conditioners aided by deflation. It includes an explanation of the theoretical setting of the problem as well as a collection of numerical experiments which lead to the construction of a two-level preconditioned GMRES algorithm. },
added-at = {2020-05-25T02:59:41.000+0200},
author = {Serur, Carlos Echeverria},
biburl = {https://www.bibsonomy.org/bibtex/2dbac0dbc43140fa42e34ce9b67e48617/gdmcbain},
interhash = {9b3690b7395ef04bbc8d49e1237d1a73},
intrahash = {dbac0dbc43140fa42e34ce9b67e48617},
keywords = {65f08-preconditioners-for-iterative-methods 65f10-iterative-methods-for-linear-systems 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics},
school = {Delft University of Technology},
timestamp = {2020-05-25T06:42:14.000+0200},
title = {Fast iterative methods for solving the incompressible Navier-Stokes equations},
url = {http://ta.twi.tudelft.nl/nw/users/vuik/numanal/echeverria_scriptie.pdf},
year = 2013
}