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{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2cc1fef12bcfe2a1fe3838b49915a4c3e/hermann",
"tags" : [
"Delaunay","Ion","Volume","probe","reconstruction;","tessellation}","tomography;","trajectories;","{Atom"
],
"intraHash" : "cc1fef12bcfe2a1fe3838b49915a4c3e",
"interHash" : "e9f0ebc681e2a54a999218d0083a9627",
"label" : "Towards an accurate volume reconstruction in atom probe tomography",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 2,
"pub-type": "article",
"journal": "ULTRAMICROSCOPY","publisher":"ELSEVIER SCIENCE BV","address":"PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS",
"year": "{2016}",
"url": "",
"author": [
"Daniel Beinke","Christian Oberdorfer","Guido Schmitz"
],
"authors": [
{"first" : "Daniel", "last" : "Beinke"},
{"first" : "Christian", "last" : "Oberdorfer"},
{"first" : "Guido", "last" : "Schmitz"}
],
"volume": "165","pages": "34-41","abstract": "An alternative concept for the reconstruction of atom probe data is\n outlined. It is based on the calculation of realistic trajectories of\n the evaporated ions in a recursive refinement process. To this end, the\n electrostatic problem is solved on a Delaunay tessellation. To enable\n the trajectory calculation, the order of reconstruction is inverted with\n respect to previous reconstruction schemes: the last atom detected is\n reconstructed first. In this way, the emitter shape, which controls the\n trajectory, can be defined throughout the duration of the\n reconstruction. A proof of concept is presented for 3D model tips,\n containing spherical precipitates or embedded layers of strongly\n contrasting evaporation thresholds. While the traditional method\n following Bas et al. generates serious distortions in these cases, a\n reconstruction with the proposed electrostatically informed approach\n improves the geometry of layers and particles significantly. (C) 2016\n Elsevier B.V. All rights reserved.",
"author-email" : "daniel.beinke@imw.uni-stuttgart.de",
"issn" : "0304-3991",
"keywords-plus" : "FIELD EVAPORATION BEHAVIOR; LOCAL MAGNIFICATION; ABERRATIONS;\n MICROSCOPY; SIMULATION; OVERLAPS",
"funding-acknowledgement" : "German Science Foundation [DFG Schm1182/16-1]; Ministry of Science,\n Research and the Arts Baden-Wurttemberg; universities of the State of\n Baden-Wurttemberg, Germany",
"research-areas" : "Microscopy",
"eissn" : "1879-2723",
"number-of-cited-references" : "25",
"affiliation" : "Beinke, D (Reprint Author), Univ Stuttgart, Inst Mat Sci, Heisenbergstr 3, D-70569 Stuttgart, Germany.\n Beinke, Daniel; Oberdorfer, Christian; Schmitz, Guido, Univ Stuttgart, Inst Mat Sci, Heisenbergstr 3, D-70569 Stuttgart, Germany.",
"web-of-science-categories" : "Microscopy",
"language" : "English",
"funding-text" : "Financial support by the German Science Foundation (DFG Schm1182/16-1)\n is gratefully acknowledged. This work was performed on the computational\n resource bwUniCluster funded by the Ministry of Science, Research and\n the Arts Baden-Wurttemberg and the universities of the State of\n Baden-Wurttemberg, Germany, within the framework program bwHPC.",
"times-cited" : "0",
"doi" : "10.1016/j.ultramic.2016.03.008",
"bibtexKey": "ISI:000375946200005"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2ca15e451be40b14c5bec014bafe54360/hermann",
"tags" : [
"Carlo","Gaussian","Monte","Ornstein-Uhlenbeck","differential","equation;","field;","field}","finite","flux","function;","hyperbolic","method;","partial","process;","quantification;","random","spatiotemporal","uncertainty","volume","{stochastic"
],
"intraHash" : "ca15e451be40b14c5bec014bafe54360",
"interHash" : "b1b958721ff8d51a5d30f7154c6f3414",
"label" : "UNCERTAINTY QUANTIFICATION FOR HYPERBOLIC CONSERVATION LAWS WITH FLUX\n COEFFICIENTS GIVEN BY SPATIOTEMPORAL RANDOM FIELDS",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 13,
"pub-type": "article",
"journal": "SIAM JOURNAL ON SCIENTIFIC COMPUTING","publisher":"SIAM PUBLICATIONS","address":"3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA",
"year": "{2016}",
"url": "",
"author": [
"Andrea Barth","Franz G. Fuchs"
],
"authors": [
{"first" : "Andrea", "last" : "Barth"},
{"first" : "Franz G.", "last" : "Fuchs"}
],
"volume": "38","number": "4","pages": "A2209-A2231","abstract": "In this paper hyperbolic partial differential equations (PDEs) with\n random coefficients are discussed. We consider the challenging problem\n of flux functions with coefficients modeled by spatiotemporal random\n fields. Those fields are given by correlated Gaussian random fields in\n space and Ornstein-Uhlenbeck processes in time. The resulting system of\n equations consists of a stochastic differential equation for each random\n parameter coupled to the hyperbolic conservation law. We de fine an\n appropriate solution concept in this setting and analyze errors and\n convergence of discretization methods. A novel discretization framework,\n based on Monte Carlo finite volume methods, is presented for the robust\n computation of moments of solutions to those random hyperbolic PDEs. We\n showcase the approach on two examples which appear in applications-the\n magnetic induction equation and linear acoustics both with a\n spatiotemporal random background velocity field.",
"author-email" : "andrea.barth@mathematik.uni-stuttgart.de\n franzgeorgfuchs@gmail.com",
"issn" : "1064-8275",
"keywords-plus" : "FINITE-VOLUME METHODS; LINEAR TRANSPORT-EQUATION;\n DIFFERENTIAL-EQUATIONS; ADVECTION EQUATION; POLYNOMIAL CHAOS; SCHEMES;\n MULTIDIMENSIONS; SPEED",
"funding-acknowledgement" : "German Research Foundation (DFG) as part of Cluster of Excellence in\n Simulation Technology at the University of Stuttgart [EXC 310/2]",
"research-areas" : "Mathematics",
"eissn" : "1095-7197",
"number-of-cited-references" : "46",
"affiliation" : "Barth, A (Reprint Author), Univ Stuttgart, SimTech, D-70569 Stuttgart, Germany.\n Barth, Andrea, Univ Stuttgart, SimTech, D-70569 Stuttgart, Germany.\n Fuchs, Franz G., SINTEF, N-0314 Oslo, Norway.",
"web-of-science-categories" : "Mathematics, Applied",
"language" : "English",
"funding-text" : "SimTech, University of Stuttgart, 70569 Stuttgart, Germany\n (andrea.barth@mathematik.unistuttgart.de). This author's work was\n supported by the German Research Foundation (DFG) as part of the Cluster\n of Excellence in Simulation Technology (EXC 310/2) at the University of\n Stuttgart, and it is gratefully acknowledged.",
"times-cited" : "0",
"doi" : "10.1137/15M1027723",
"bibtexKey": "ISI:000385283400013"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2cffcf9b4d25fbc122de56edd6f23f805/hermann",
"tags" : [
"Finite","Galerkin","Galerkin;","Hybrid","Polynomial","Uncertainty","chaos;","method}","model;","projection;","quantification;","stochastic","volume","{Clarifier-thickener"
],
"intraHash" : "cffcf9b4d25fbc122de56edd6f23f805",
"interHash" : "158d6d69825141720526007acae4fa2b",
"label" : "Computational uncertainty quantification for a clarifier-thickener model\n with several random perturbations: A hybrid stochastic Galerkin approach",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 1,
"pub-type": "article",
"journal": "COMPUTERS & CHEMICAL ENGINEERING","publisher":"PERGAMON-ELSEVIER SCIENCE LTD","address":"THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND",
"year": "{2016}",
"url": "",
"author": [
"Andrea Barth","Raimund Burger","Ilja Kroeker","Christian Rohde"
],
"authors": [
{"first" : "Andrea", "last" : "Barth"},
{"first" : "Raimund", "last" : "Burger"},
{"first" : "Ilja", "last" : "Kroeker"},
{"first" : "Christian", "last" : "Rohde"}
],
"volume": "89","pages": "11-26","abstract": "Continuous sedimentation processes in a clarifier-thickener unit can be\n described by a scalar nonlinear conservation law whose flux density\n function is discontinuous with respect to the spatial position. In the\n applications of this model, which include mineral processing and\n wastewater treatment, the rate and composition of the feed flow cannot\n be given deterministically. Efficient numerical simulation is required\n to quantify the effect of uncertainty in these control parameters in\n terms of the response of the clarifier thickener system. Thus, the\n problem at hand is one of uncertainty quantification for nonlinear\n hyperbolic problems with several random perturbations. The presented\n hybrid stochastic Galerkin method is devised so as to extend the\n polynomial chaos approximation by multiresolution discretization in the\n stochastic space. This approach leads to a deterministic hyperbolic\n system, which is partially decoupled and therefore suitable for\n efficient parallelisation. Stochastic adaptivity reduces the\n computational effort. Several numerical experiments are presented. (C)\n 2016 Elsevier Ltd. All rights reserved.",
"author-email" : "ikroeker@mathematik.uni-stuttgart.de",
"issn" : "0098-1354",
"keywords-plus" : "SECONDARY SETTLING TANKS; HYPERBOLIC CONSERVATION-LAWS; DISCONTINUOUS\n FLUX FUNCTION; CONTINUOUS SEDIMENTATION; OPERATING CHARTS;\n NUMERICAL-METHODS; FLOW PROBLEMS; SIMULATION; SCHEMES; SUSPENSIONS",
"funding-acknowledgement" : "German Research Foundation (DFG) within the Cluster of Excellence in\n Simulation Technology at the University of Stuttgart [EXC 310/1];\n Fondecyt project [1130154]; Fondef project [1D15I10291]; Conicyt\n project Anillo [ACT1118]; MINE-DUC project at Universidad de\n Concepcion [UCO1202]; BASAL project CMM; Universidad de Chile; Centro\n de Investigacion en Ingenieria Matematica (CI2MA);\n Universidad de Concepcion; Centro CRHIAM Proyecto Conicyt Fondap\n [15130015]; Red Doctoral REDOC.CTA",
"research-areas" : "Computer Science; Engineering",
"eissn" : "1873-4375",
"number-of-cited-references" : "52",
"affiliation" : "Kroker, I (Reprint Author), Univ Stuttgart, IANS, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.\n Burger, Raimund, Univ Concepcion, CI2MA, Casilla 160-C, Concepcion, Chile.\n Burger, Raimund, Univ Concepcion, Dipartimento Ingn Matemat, Casilla 160-C, Concepcion, Chile.\n Barth, Andrea; Kroeker, Ilja; Rohde, Christian, Univ Stuttgart, IANS, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.",
"web-of-science-categories" : "Computer Science, Interdisciplinary Applications; Engineering, Chemical",
"language" : "English",
"funding-text" : "A.B., I.K. and C.R. would like to thank the German Research Foundation\n (DFG) for financial support of the project within the Cluster of\n Excellence in Simulation Technology (EXC 310/1) at the University of\n Stuttgart. R.B. is supported by Fondecyt project 1130154; Fondef project\n 1D15I10291; Conicyt project Anillo ACT1118 (ANANUM); Red Doctoral\n REDOC.CTA, MINE-DUC project UCO1202 at Universidad de Concepcion; BASAL\n project CMM, Universidad de Chile and Centro de Investigacion en\n Ingenieria Matematica (CI2MA), Universidad de Concepcion; and\n Centro CRHIAM Proyecto Conicyt Fondap 15130015.",
"times-cited" : "0",
"doi" : "10.1016/j.compchemeng.2016.02.016",
"bibtexKey": "ISI:000376202800002"
}
]
}