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Evaluating Local Approximations of the L^(2)-Orthogonal Projection Between Non-Nested Finite Element Spaces

Numerical Mathematics(Theory,Methods and Applications) 2014年第3期7卷 288-316页

作者： Thomas Dickopf rolf krause Universit`a della Svizzera italiana(USI University of Lugano)Institute of Computational ScienceVia G.Buffi 136904 LuganoSwitzerland

We present quantitative studies of transfer operators between finite element spaces associated with unrelated *** local approximations of the global L^(2)-orthogonal projection are reviewed and evaluated *** numerical studies in 3D provide the first estimates of the quantitative differences between a range of transfer operators between non-nested finite element *** consider the standard finite element interpolation,Cl´ement’s quasi-interpolation with different local polynomial degrees,the global L^(2)-orthogonal projection,a local L^(2)-quasi-projection via a discrete inner product,and a pseudo-L^(2)-projection defined by a Petrov-Galerkin variational equation with a discontinuous test *** their qualitative and quantitative behaviors in this computational way is interesting per se;it could also be relevant in the context of discretization and solution techniques which make use of different non-nested *** turns out that the pseudo-L^(2)-projection approximates the actual L^(2)-orthogonal projection *** obtained results seem to be largely independent of the underlying computational domain;this is demonstrated by four examples(ball,cylinder,half torus and Stanford Bunny).

关键词： Finite elements unstructured meshes non-nested spaces transfer operators interpolation projection

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采用石英晶体微衡器技术来控制镍/金镀过程

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印制电路信息 1996年第5期4卷 39-42页

作者： rolf krause 何慧颖

由于更多的因素,先进的表面安装技术(SMT)要求采用比热风整平(HASL)得到的更好平整度的焊盘和更精细间距导体,才能满足需要。这种平整度技术应当不牺牲锡/铅使用期限和可焊性的一些特性为代价。经过很多的研究,包括有机涂层、浸镀锡,在... 详细信息

由于更多的因素,先进的表面安装技术(SMT)要求采用比热风整平(HASL)得到的更好平整度的焊盘和更精细间距导体,才能满足需要。这种平整度技术应当不牺牲锡/铅使用期限和可焊性的一些特性为代价。经过很多的研究,包括有机涂层、浸镀锡,在铜上化学镀镍或镀金。

关键词：石英晶体化学镀镍沉积速率平整度表面安装技术工艺过程可焊性振荡频率有机涂层化学镀金

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Enhanced diagnostic workup increases pathological findings in patients with acute ischaemic stroke:results of the prospective HEBRAS study

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Stroke & Vascular Neurology 2024年第2期9卷 145-152,I0414-I0425页

作者： Simon Hellwig Thomas krause Jan F Scheitz Juliane Herm Ulrike Grittner Nadja Jauert Jochen B Fiebach Mario Kasner Wolfram Doehner Matthias Endres rolf Wachter Thomas Elgeti Christian H Nolte Karl Georg Haeusler Department of Neurology with Experimental Neurology Charité-Universitätsmedizin Berlincorporate member of Freie Universität Berlin and Humboldt-Universität zu BerlinBerlinGermany Center for Stroke Research Berlin BerlinGermany Berlin Institute of Health at Charité–Universitätsmedizin Berlin BIH Biomedical Innovation AcademyBerlinGermany Department of Neurology Jüdisches Krankenhaus BerlinBerlinGermany German Center for Cardiovascular Diseases(DZHK) Partner Site BerlinBerlinGermany Institute of Biometry and Clinical Epidemiology Charité-Universitätsmedizin BerlinBerlinGermany BIH Center for Regenerative Therapies(BCRT) Berlin Institute of Health at Charité–Universitätsmedizin BerlinBerlinGermany Department of Cardiology Charité-Universitätsmedizin BerlinBerlinGermany Department of Cardiology Campus Benjamin FranklinCharité-Universitätsmedizin BerlinBerlinGermany German Center for Neurodegenerative Diseases(DZNE) Partner Site BerlinBerlinGermany Department of Cardiology University Hospital LeipzigLeipzigGermany Department of Radiology Charité-Universitätsmedizin BerlinBerlinGermany Department of Neurology University Hospital WürzburgWürzburgGermany

Background Stroke aetiology remains cryptogenic in a relevant proportion of patients with acute ischaemic stroke(AIS).We assessed whether enhanced diagnostic workup after AIS yields a higher rate of prespecified pathological findings compared with routine diagnostic care *** Hospitalised patients with AIS were prospectively enrolled in the investigator-initiated observational HEart and BRain Interfaces in Acute Ischaemic Stroke(HEBRAS)study at the Charité,Berlin,*** with AIS without known atrial fibrillation(AF)underwent cardiovascular MR imaging(CMR),MR-angiography of the aortic arch and prolonged Holter-ECG monitoring on top of routine diagnostic *** Among 356 patients with AIS(mean age 66 years,37.6%female),enhanced workup yielded a higher rate of prespecified pathological findings compared with routine care(17.7%vs 5.3%;p<0.001).Consequently,fewer patients were classified as cryptogenic after enhanced diagnostic workup(38.5%vs 45.5%,p<0.001).Routine care included echocardiography in 228(64.0%)*** was successfully performed in 292(82.0%)patients and revealed more often a prespecified pathological finding compared with routine echocardiography(16.1%vs 5.3%).Furthermore,study-related ECG monitoring(median duration 162 hours(IQR 98–210))detected AF in 16(4.5%)patients,while routine monitoring(median duration 51 hours(IQR 34–74))detected AF in seven(2.0%)*** Enhanced diagnostic workup revealed a higher rate of prespecified pathological findings in patients with AIS compared with routine diagnostic care and significantly reduced the proportion of patients with cryptogenic *** registration number NCT02142413.

关键词： routine patients prospective

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