%0 Book Section %1 citeulike:13445400 %A Terrel, Andy R. %A Scott, L. Ridgway %A Knepley, Matthew G. %A Kirby, Robert C. %A Wells, Garth N. %B Automated Solution of Differential Equations by the Finite Element Method %C Berlin %D 2012 %E Logg, Anders %E Mardal, Kent-Andre %E Wells, Garth %I Springer %K taylor-hood 76m10-finite-element-methods-in-fluid-mechanics 76d07-stokes-and-related-oseen-etc-flows %P 385--397 %R 10.1007/978-3-642-23099-8\_20 %T Finite Elements for Incompressible Fluids %U http://dx.doi.org/10.1007/978-3-642-23099-8\_20 %V 84 %X The structure of the finite element method offers a user a range of choices. This is especially true for solving incompressible fluid problems, where theory points to a number of stable finite element formulations. Using automation tools, we implement and examine various stable formulations for the steady-state Stokes equations. It is demonstrated that the expressiveness of the FEniCS Project components allows solvers for the Stokes problem that use various element formulations to be created with ease. %& 20

@incollection{citeulike:13445400, abstract = {{The structure of the finite element method offers a user a range of choices. This is especially true for solving incompressible fluid problems, where theory points to a number of stable finite element formulations. Using automation tools, we implement and examine various stable formulations for the steady-state Stokes equations. It is demonstrated that the expressiveness of the FEniCS Project components allows solvers for the Stokes problem that use various element formulations to be created with ease.}}, added-at = {2017-06-29T07:13:07.000+0200}, address = {Berlin}, author = {Terrel, Andy R. and Scott, L. Ridgway and Knepley, Matthew G. and Kirby, Robert C. and Wells, Garth N.}, biburl = {https://www.bibsonomy.org/bibtex/208c7bec808525a19b327aea9cb2d8c19/gdmcbain}, booktitle = {Automated Solution of Differential Equations by the Finite Element Method}, chapter = 20, citeulike-article-id = {13445400}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-642-23099-8\_20}, citeulike-linkout-1 = {http://link.springer.com/chapter/10.1007/978-3-642-23099-8\_20}, doi = {10.1007/978-3-642-23099-8\_20}, editor = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth}, interhash = {dd0315133876f483b8a2d25142b40e31}, intrahash = {08c7bec808525a19b327aea9cb2d8c19}, keywords = {taylor-hood 76m10-finite-element-methods-in-fluid-mechanics 76d07-stokes-and-related-oseen-etc-flows}, pages = {385--397}, posted-at = {2014-11-26 00:23:49}, priority = {2}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, timestamp = {2019-02-28T23:44:48.000+0100}, title = {{Finite Elements for Incompressible Fluids}}, url = {http://dx.doi.org/10.1007/978-3-642-23099-8\_20}, volume = 84, year = 2012 }