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         "type" : "Publication",
         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/205b87bcb8873845c63be5de24fb3d96a/mathematik",         
         "tags" : [
            "edge","elements","equations;adaptive","finite","from:mhartmann","ians","investigation;numerical","methods;Navier-Stokes","tones;experimental","vorlaeufig"
         ],
         
         "intraHash" : "05b87bcb8873845c63be5de24fb3d96a",
         "interHash" : "fa7ad9b37dea72a7e6000abf9e4af3f9",
         "label" : "Experimental and numerical investigation of edge tones",
         "user" : "mathematik",
         "description" : "",
         "date" : "2018-07-20 10:54:45",
         "changeDate" : "2019-12-18 14:37:55",
         "count" : 3,
         "pub-type": "article",
         "journal": "ZAMM Journal of Applied Mathematics and Mechanics",
         "year": "2004", 
         "url": "http://dx.doi.org/10.1002/zamm.200310122", 
         
         "author": [ 
            "Andreas Bamberger","Eberhard Bänsch","Kunibert G. Siebert"
         ],
         "authors": [
         	
            	{"first" : "Andreas",	"last" : "Bamberger"},
            	{"first" : "Eberhard",	"last" : "Bänsch"},
            	{"first" : "Kunibert G.",	"last" : "Siebert"}
         ],
         "volume": "84","number": "9","pages": "632-646","abstract": "We study both, by experimental and numerical means the fluid dynamical\n\tphenomenon of edge tones. Of particular interest is the verification\n\tof scaling laws relating the frequency f to given quantities, namely\n\td, the height of the jet, w, the stand�off distance and the velocity\n\tof the jet. We conclude that the Strouhal number Sd is related to\n\tthe geometrical quantities through Sd = C � (d / w)n with n � 1,\n\tin contrast to some analytical treatments of the problem. The constant\n\tC of the experiment agrees within 13�15\\% with the result of the\n\tnumerical treatment. Only a weak dependence on the Reynolds number\n\twith respect to d is observed. In general, a very good agreement\n\tof the experimental and the numerical simulations is found.",
         "owner" : "kohlsk",
         
         "language" : "English",
         
         "doi" : "10.1002/zamm.200310122",
         
         "bibtexKey": "bamberger2004experimental"

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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/28fc4612e68ea6905b965ae8c7e92e656/mathematik",         
         "tags" : [
            "adaptivity","convergence","density","elements","finite","from:mhartmann","ians","vorlaeufig"
         ],
         
         "intraHash" : "8fc4612e68ea6905b965ae8c7e92e656",
         "interHash" : "704190075ecceaf1b26aac9eeed999c5",
         "label" : "A Convergence Proof for Adaptive Finite Elements without Lower Bound",
         "user" : "mathematik",
         "description" : "",
         "date" : "2018-07-20 10:54:37",
         "changeDate" : "2019-12-18 14:37:55",
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         "pub-type": "article",
         "journal": "IMA Journal of Numerical Analysis",
         "year": "2011", 
         "url": "http://imajna.oxfordjournals.org/content/31/3/947.abstract", 
         
         "author": [ 
            "Kunibert G. Siebert"
         ],
         "authors": [
         	
            	{"first" : "Kunibert G.",	"last" : "Siebert"}
         ],
         "volume": "31","number": "3","pages": "947-970","abstract": "We analyse the adaptive finite-element approximation to solutions\n\tof partial differential equations in variational formulation. Assuming\n\twell-posedness of the continuous problem and requiring only basic\n\tproperties of the adaptive algorithm, we prove convergence of the\n\tsequence of discrete solutions to the true one. The proof is based\n\ton the ideas by Morin, Siebert and Veeser but replaces local efficiency\n\tof the estimator by a local density property of the adaptively generated\n\tfinite-element spaces. As a result, estimators without a discrete\n\tlower bound are also included in our theory. The assumptions of the\n\tpresented framework are fulfilled by a large class of important applications,\n\testimators and adaptive strategies.",
         "owner" : "kohlsk",
         
         "bibtexKey": "siebert2011convergence"

      }
	  
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