Lube, Gert

[["dc.bibliographiccitation.firstpage","106"],["dc.bibliographiccitation.journal","ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS"],["dc.bibliographiccitation.lastpage","122"],["dc.bibliographiccitation.volume","32"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Rapin, Gerd"],["dc.contributor.author","Loewe, Johannes"],["dc.date.accessioned","2018-11-07T11:19:48Z"],["dc.date.available","2018-11-07T11:19:48Z"],["dc.date.issued","2008"],["dc.description.abstract","A standard approach to the non-stationary, incompressible Navier-Stokes model is to split the problem into linearized auxiliary problems of Oseen type. In this paper, a unified numerical analysis for finite element discretizations using the local projection stabilization method with either equal-order or inf-sup stable velocity-pressure pairs in the case of continuous pressure approximation is presented. Moreover, a careful comparison of both variants is given."],["dc.identifier.isi","000267829000009"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/55376"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Kent State University"],["dc.relation.conference","20th Chemnitz Finite Element Symposium 2007"],["dc.relation.eventlocation","Chemnitz, GERMANY"],["dc.relation.issn","1068-9613"],["dc.title","LOCAL PROJECTION STABILIZATION FOR INCOMPRESSIBLE FLOWS: EQUAL-ORDER VS. INF-SUP STABLE INTERPOLATION"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","PII S0045-7825(02)0222-0"],["dc.bibliographiccitation.firstpage","2997"],["dc.bibliographiccitation.issue","27-28"],["dc.bibliographiccitation.journal","Computer Methods in Applied Mechanics and Engineering"],["dc.bibliographiccitation.lastpage","3013"],["dc.bibliographiccitation.volume","191"],["dc.contributor.author","Knopp, Tobias"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Rapin, Gerd"],["dc.date.accessioned","2018-11-07T10:32:56Z"],["dc.date.available","2018-11-07T10:32:56Z"],["dc.date.issued","2002"],["dc.description.abstract","Stabilized FEM of streamline-diffusion type for advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant of such stabilized schemes is considered as an additional consistent (but nonlinear) stabilization. We prove existence of discrete solutions. Then we present some a priori and a posteriori estimates. Finally we address the efficient solution of the arising nonlinear discrete problems. (C) 2002 Elsevier Science B.V. All rights reserved."],["dc.identifier.doi","10.1016/S0045-7825(02)00222-0"],["dc.identifier.isi","000175205100005"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/44475"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Sa"],["dc.relation.issn","0045-7825"],["dc.title","Stabilized finite element methods with shock capturing for advection-diffusion problems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","155"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Computing"],["dc.bibliographiccitation.lastpage","178"],["dc.bibliographiccitation.volume","73"],["dc.contributor.author","Rapin, Gerd"],["dc.contributor.author","Lube, Gert"],["dc.date.accessioned","2018-11-07T10:45:52Z"],["dc.date.available","2018-11-07T10:45:52Z"],["dc.date.issued","2004"],["dc.description.abstract","In this paper, we propose a new stabilized three-field formulation applied to the advection-diffusion equation. Using finite elements with SUPG stabilization in the interior of the subdomains our approach enables LIS to use almost arbitrary discrete function spaces. They need not to satisfy the inf-sup conditions of the standard three-field formulation. We can prove the stability of the scheme and an I priori estimate which is of the same convergence order as the standard SUPG method. Furthermore, the scheme can be solved efficiently by an adapted Schur complement equation. Finally some numerical experiments confirm our theoretical results."],["dc.identifier.doi","10.1007/s00607-004-0069-0"],["dc.identifier.isi","000224459400004"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/47606"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Springer"],["dc.publisher.place","Wien"],["dc.relation.issn","1436-5057"],["dc.relation.issn","0010-485X"],["dc.title","A stabilized three-field formulation for advection-diffusion equations"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1269"],["dc.bibliographiccitation.issue","9"],["dc.bibliographiccitation.journal","International Journal for Numerical Methods in Fluids"],["dc.bibliographiccitation.lastpage","1290"],["dc.bibliographiccitation.volume","57"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Knopp, Tobias"],["dc.contributor.author","Rapin, Gerd"],["dc.contributor.author","Gritzki, Ralf"],["dc.contributor.author","Roesler, M."],["dc.date.accessioned","2018-11-07T11:12:53Z"],["dc.date.available","2018-11-07T11:12:53Z"],["dc.date.issued","2008"],["dc.description.abstract","The non-isothermal. incompressible Navier-Stokes equations with Boussineq approximation are considered as a model of turbulent indoor air flows. The transient calculation is based on the Reynolds-averaged Navier-Stokes problem L[Sing the k/epsilon-turbulence model or improved variants such as the (upsilon) over bar (2)-f model. The model is first discretized in time using backward-differencing schemes and then linearized using a Newton-type method per time step with emphasis on the proper calculation of (non-negative) turbulence quantities. The resulting auxiliary problems of Oseen type and of advection-diffusion-reaction type are solved Using stabilized finite element method of residual type. Here we summarize Some some of our recent analytical results for hi I'll er-Order methods and shock-capturing techniques. The numerical solution to the model in boundary layer regions is obtained using either adaptive wall functions if the k-epsilon model is Used or a hybrid mesh with anisotropic refinement if the (upsilon) over bar (2)-f model is applied. Besides the standard flow quantities, it is possible to calculate quantities such as the age of the air. Such quantities are Used to develop criteria for the evaluation of the efficiency of air exchange in a room. The quality of the numerical simulations is demonstrated for typical benchmark problems. Copyright (C) 2008 John Wiley & Sons, Ltd."],["dc.identifier.doi","10.1002/fld.1790"],["dc.identifier.isi","000258096300013"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/53764"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","John Wiley & Sons Ltd"],["dc.publisher.place","Chichester"],["dc.relation.conference","14th International Conference on Finite Elements in Flow Problems"],["dc.relation.eventlocation","Santa Fe, NM"],["dc.relation.issn","0271-2091"],["dc.title","Stabilized finite element methods to predict ventilation efficiency and thermal comfort in buildings"],["dc.type","conference_paper"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","4124"],["dc.bibliographiccitation.issue","33-36"],["dc.bibliographiccitation.journal","Computer Methods in Applied Mechanics and Engineering"],["dc.bibliographiccitation.lastpage","4138"],["dc.bibliographiccitation.volume","195"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Rapin, Gerd"],["dc.date.accessioned","2018-11-07T10:32:35Z"],["dc.date.available","2018-11-07T10:32:35Z"],["dc.date.issued","2006"],["dc.description.abstract","We reconsider the numerical solution of linear(ized) advection-diffusion-reaction problems using higher-order finite elements together with stabilized Galerkin methods of streamline-diffusion type (SUPG) and with shock-capturing stabilization. The analysis improves the a priori analysis in our previous paper [T. Knopp, G. Lube, G. Rapin, Stabilized finite element methods with shock capturing for advection-diffusion problems, Comput. Methods Appl. Mech. Engrg. 191 (2002) 2997-3013]. The theoretical results are supported by some numerical experiments. (c) 2005 Elsevier B.V. All rights reserved."],["dc.identifier.doi","10.1016/j.cma.2005.07.017"],["dc.identifier.isi","000237969900014"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/44380"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Sa"],["dc.relation.issn","1879-2138"],["dc.relation.issn","0045-7825"],["dc.title","Residual-based stabilized higher-order FEM for advection-dominated problems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","949"],["dc.bibliographiccitation.issue","7"],["dc.bibliographiccitation.journal","Mathematical Models and Methods in Applied Sciences"],["dc.bibliographiccitation.lastpage","966"],["dc.bibliographiccitation.volume","16"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Rapin, Gerd"],["dc.date.accessioned","2018-11-07T09:38:06Z"],["dc.date.available","2018-11-07T09:38:06Z"],["dc.date.issued","2006"],["dc.description.abstract","In many numerical schemes for standard turbulence models for the nonstationary, incompressible Navier-Stokes equations, the problem is split into linearized auxiliary problems of advection-diffusion-reaction and of Oseen type. Here we present the numerical analysis of a conforming hp-version for stabilized Galerkin methods of SUPG/PSPG-type of the latter problem whereas the analysis of the former problem is reviewed in Ref. 22. We prove a modified inf-sup condition with a constant, which is independent of the spectral order and the viscosity. Moreover, the analysis of the stabilization parameters highlights the role of grad-div stabilization, in particular in case of div-stable velocity-pressure approximation."],["dc.identifier.doi","10.1142/S0218202506001418"],["dc.identifier.isi","000239646400001"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/32991"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","World Scientific Publ Co Pte Ltd"],["dc.relation.issn","0218-2025"],["dc.title","Residual-based stabilized higher-order fem for a generalized Oseen problem"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","S767"],["dc.bibliographiccitation.journal","ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK"],["dc.bibliographiccitation.lastpage","S768"],["dc.bibliographiccitation.volume","81"],["dc.contributor.author","Knopp, Tobias"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Rapin, Gerd"],["dc.date.accessioned","2018-11-07T09:40:41Z"],["dc.date.available","2018-11-07T09:40:41Z"],["dc.date.issued","2001"],["dc.description.abstract","Stabilized FEM of streamline-diffusion type to advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant is considered as an additional consistent (but nonlinear) stabilization. We present some preliminary results of the numerical analysis. The shock-capturing method has been applied within the numerical solution of the k/epsilon turbulence model of incompressible flow problems for the arising nonlinear advection-diffusion problems."],["dc.identifier.isi","000169246000155"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/33560"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Wiley-v C H Verlag Gmbh"],["dc.publisher.place","Berlin"],["dc.relation.conference","Annual Scientific Conference of the Society-for-Applied-Mathematics-and-Mechanics (GAMM 2000)"],["dc.relation.eventlocation","UNIV GOTTINGEN, GOTTINGEN, GERMANY"],["dc.relation.issn","0044-2267"],["dc.title","Stabilized FEM with shock-capturing for advection-diffusion problems"],["dc.type","conference_paper"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]