dc.date.accessioned | 2013-11-21T11:56:20Z | |
dc.date.available | 2013-11-21T11:56:20Z | |
dc.date.issued | 2009 | en_US |
dc.date.submitted | 2009-11-02 | en_US |
dc.identifier.uri | http://hdl.handle.net/10852/10466 | |
dc.description.abstract | We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by a piecewise constant discontinuous Galerkin method. The velocity (momentum) equation is approximated by a finite element method on div-curl form using the nonconforming Crouzeix-Raviart space. Our main result is that the finite element method converges to a weak solution. The main challenge is to demonstrate the strong convergence of the density approximations, which is mandatory in view of the nonlinear pressure function. The analysis makes use of a higher integrability estimate on the density approximations, an equation for the "effective viscous flux", and renormalized versions of the discontinuous Galerkin method. | eng |
dc.language.iso | eng | en_US |
dc.publisher | Matematisk Institutt, Universitetet i Oslo | |
dc.relation.ispartof | Preprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076 | en_US |
dc.relation.uri | http://urn.nb.no/URN:NBN:no-8076 | |
dc.rights | © The Author(s) (2009). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society. | |
dc.title | A CONVERGENT NONCONFORMING FINITE ELEMENT METHOD FOR COMPRESSIBLE STOKES FLOW | en_US |
dc.type | Research report | en_US |
dc.date.updated | 2013-11-15 | en_US |
dc.rights.holder | Copyright 2009 The Author(s) | |
dc.creator.author | Karlsen, Kenneth H. | en_US |
dc.creator.author | Karper, Trygve K. | en_US |
dc.subject.nsi | VDP::410 | en_US |
dc.identifier.urn | URN:NBN:no-23395 | en_US |
dc.type.document | Forskningsrapport | en_US |
dc.identifier.duo | 96295 | en_US |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10466/1/pm15-09.pdf | |