This paper discusses the solution of the Stokes problem using block preconditioned iterative methods. Block preconditioners are based on the block factorization of the discretized problem. We focus on two specific types: SIMPLE-type preconditioners and the LSC preconditioner. Both methods use scaling to improve their performance. We test convergence of GCR in combination with these preconditioners both for a constant and a non-constant viscosity Stokes problem.
%0 Conference Paper
%1 urrehman2010block
%A ur Rehman, M.
%A Vuik, C.
%A Segal, G.
%B Large-Scale Scientific Computing
%C Berlin
%D 2010
%E Lirkov, Ivan
%E Margenov, Svetozar
%E Waśniewski, Jerzy
%I Springer
%K 35q30-navier-stokes-equations 65f08-preconditioners-for-iterative-methods 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics
%P 829–836
%R 10.1007/978-3-642-12535-5_99
%T Block Preconditioners for the Incompressible Stokes Problem
%U https://link.springer.com/chapter/10.1007%2F978-3-642-12535-5_99
%V 5910
%X This paper discusses the solution of the Stokes problem using block preconditioned iterative methods. Block preconditioners are based on the block factorization of the discretized problem. We focus on two specific types: SIMPLE-type preconditioners and the LSC preconditioner. Both methods use scaling to improve their performance. We test convergence of GCR in combination with these preconditioners both for a constant and a non-constant viscosity Stokes problem.
%@ 978-3-642-12535-5
@inproceedings{urrehman2010block,
abstract = {This paper discusses the solution of the Stokes problem using block preconditioned iterative methods. Block preconditioners are based on the block factorization of the discretized problem. We focus on two specific types: SIMPLE-type preconditioners and the LSC preconditioner. Both methods use scaling to improve their performance. We test convergence of GCR in combination with these preconditioners both for a constant and a non-constant viscosity Stokes problem.},
added-at = {2019-04-23T05:42:32.000+0200},
address = {Berlin},
author = {ur Rehman, M. and Vuik, C. and Segal, G.},
biburl = {https://www.bibsonomy.org/bibtex/2896459d2ba66f881f9f46bd43f4606a5/gdmcbain},
booktitle = {Large-Scale Scientific Computing},
doi = {10.1007/978-3-642-12535-5_99},
editor = {Lirkov, Ivan and Margenov, Svetozar and Waśniewski, Jerzy},
interhash = {a90f7476a39becd71dc528de04cb70f0},
intrahash = {896459d2ba66f881f9f46bd43f4606a5},
isbn = {978-3-642-12535-5},
keywords = {35q30-navier-stokes-equations 65f08-preconditioners-for-iterative-methods 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics},
pages = {829–836},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
timestamp = {2020-05-25T01:50:47.000+0200},
title = {Block Preconditioners for the Incompressible Stokes Problem},
url = {https://link.springer.com/chapter/10.1007%2F978-3-642-12535-5_99},
volume = 5910,
year = 2010
}