dc.contributor.author | Ramalho Queiroz Pacheco, Douglas | |
dc.contributor.author | Steinbach, Olaf | |
dc.date.accessioned | 2023-02-20T09:46:42Z | |
dc.date.available | 2023-02-20T09:46:42Z | |
dc.date.created | 2022-08-30T19:29:37Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0898-1221 | |
dc.identifier.uri | https://hdl.handle.net/11250/3052242 | |
dc.description.abstract | In incompressible flow problems, the finite element discretization of pressure and velocity can be done through either stable spaces or stabilized pairs. For equal-order stabilized methods with piecewise linear discretization, the classical theory guarantees only linear convergence for the pressure approximation. However, a higher order is often observed, yet seldom discussed, in numerical practice. Such experimental observations may, in the absence of a sound a priori error analysis, mislead the selection of finite element spaces in practical applications. Therefore, we present here a numerical analysis demonstrating that an initial higher-order pressure convergence may in fact occur under certain conditions, for equal-order elements of any degree. Moreover, our numerical experiments clearly indicate that whether and for how long this behavior holds is a problem-dependent matter. These findings confirm that an optimal pressure convergence can in general not be expected when using unbalanced velocity-pressure pairs. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Ltd. | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On the initial higher-order pressure convergence in equal-order finite element discretizations of the Stokes system | en_US |
dc.title.alternative | On the initial higher-order pressure convergence in equal-order finite element discretizations of the Stokes system | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 140-145 | en_US |
dc.source.volume | 109 | en_US |
dc.source.journal | Computers and Mathematics with Applications | en_US |
dc.identifier.doi | 10.1016/j.camwa.2022.01.022 | |
dc.identifier.cristin | 2047350 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |