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"label" : "Stochastic Modeling for Heterogeneous Two-Phase Flow",
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"booktitle": "Finite Volumes for Complex Applications VII-Methods and Theoretical\n\tAspects","series": "Springer Proceedings in Mathematics & Statistics","publisher":"Springer International Publishing",
"year": "2014",
"url": "http://dx.doi.org/10.1007/978-3-319-05684-5_34",
"author": [
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{"first" : "M.", "last" : "Köppel"},
{"first" : "I.", "last" : "Kröker"},
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{"first" : "Mario", "last" : "Ohlberger"},
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"volume": "77","pages": "353-361",
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"label" : "A Convergence Proof for Adaptive Finite Elements without Lower Bound",
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"journal": "IMA Journal of Numerical Analysis",
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"url": "http://imajna.oxfordjournals.org/content/31/3/947.abstract",
"author": [
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"authors": [
{"first" : "Kunibert G.", "last" : "Siebert"}
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"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.",
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"label" : "Convergence of Finite Elements Adapted for Weaker Norms",
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"booktitle": "Applied and Industrial Matematics in Italy - II","series": "Series on Advances in Mathematics for Applied Sciences","publisher":"World Sci. Publ.","address":"Hackensack, NJ",
"year": "2007",
"url": "http://dx.doi.org/10.1142/9789812709394_0041",
"author": [
"Pedro Morin","Kunibert G. Siebert","Andreas Veeser"
],
"authors": [
{"first" : "Pedro", "last" : "Morin"},
{"first" : "Kunibert G.", "last" : "Siebert"},
{"first" : "Andreas", "last" : "Veeser"}
],
"editor": [
"V. Cutello","G. Fotia","L. Puccio"
],
"editors": [
{"first" : "V.", "last" : "Cutello"},
{"first" : "G.", "last" : "Fotia"},
{"first" : "L.", "last" : "Puccio"}
],
"volume": "75","pages": "468-479","abstract": "We consider finite elements that are adapted to a (semi)norm that\n\tis weaker than the one of the trial space. We establish convergence\n\tof the finite element solutions to the exact one under the following\n\tconditions: refinement relies on unique quasi-regular element subdivisions\n\tand generates locally quasi-uniform grids; the finite element spaces\n\tare conforming, nested, and satisfy the inf-sup condition; the error\n\testimator is reliable and appropriately locally efficient; the indicator\n\tof a non-marked element is bounded by the estimator contribution\n\tassociated with the marked elements, and each marked element is subdivided\n\tat least once. This abstract convergence result is illustrated by\n\ttwo examples.",
"owner" : "kohlsk",
"doi" : "10.1142/9789812709394_0041",
"bibtexKey": "morin2007convergence"
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"label" : "ALBERT --- Software for Scientific Computations and Applications",
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"journal": "Acta Mathematica Universitatis Comenianae, New Ser.",
"year": "2001",
"url": "http://www.emis.de/journals/AMUC/_vol-70/_no_1/_siebert/siebert.html",
"author": [
"Alfred Schmidt","Kunibert G. Siebert"
],
"authors": [
{"first" : "Alfred", "last" : "Schmidt"},
{"first" : "Kunibert G.", "last" : "Siebert"}
],
"volume": "70","number": "1","pages": "105-122","abstract": "Adaptive finite element methods are a modern, widely used tool which\n\tmake realistic computations feasible, even in three space dimensions.\n\tWe describe the basic ideas and ingredients of adaptive FEM and the\n\timplementation of our toolbox \\ALBERT. The design of \\ALBERT is based\n\ton the natural hierarchy of locally refined meshes and an abstract\n\tconcept of general finite element spaces. As a result, dimension\n\tindependent programming of applications is possible. Numerical results\n\tfrom applications in two and three space dimensions demonstrate the\n\tflexibility of \\ALBERT.",
"owner" : "kohlsk",
"language" : "English",
"bibtexKey": "schmidt2001textsfalbert"
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"id" : "https://puma.ub.uni-stuttgart.de/bibtex/205b87bcb8873845c63be5de24fb3d96a/mhartmann",
"tags" : [
"equations;adaptive","edge","methods;Navier-Stokes","investigation;numerical","elements","tones;experimental","finite","vorlaeufig"
],
"intraHash" : "05b87bcb8873845c63be5de24fb3d96a",
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"label" : "Experimental and numerical investigation of edge tones",
"user" : "mhartmann",
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"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/2d139b76a0d524aed7c15503f76b34fd4/mhartmann",
"tags" : [
"design","software","scientific","Adaptive","finite","element","software,","methods,","vorlaeufig"
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"intraHash" : "d139b76a0d524aed7c15503f76b34fd4",
"interHash" : "e9714704742940ccda41faa66c3346cc",
"label" : "Design of Finite Element Tools for Coupled Surface and Volume Meshes",
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"journal": "Numerical Mathematics: Theory, Methods and Applications",
"year": "2008",
"url": "http://www.global-sci.org/nmtma/",
"author": [
"Daniel Köster","Oliver Kriessl","Kunibert G. Siebert"
],
"authors": [
{"first" : "Daniel", "last" : "Köster"},
{"first" : "Oliver", "last" : "Kriessl"},
{"first" : "Kunibert G.", "last" : "Siebert"}
],
"volume": "1","number": "3","pages": "245-274","abstract": "Many problems with underlying variational structure involve a coupling\n\tof volume with surface effects. A straight-forward approach in a\n\tfinite element discretization is to make use of the surface triangulation\n\tthat is naturally induced by the volume triangulation. In an adaptive\n\tmethod one wants to facilitate \"matching\" local mesh modifications,\n\ti.e., local refinement and/or coarsening, of volume and surface mesh\n\twith standard tools such that the surface grid is always induced\n\tby the volume grid. We describe the concepts behind this approach\n\tfor bisectional refinement and describe new tools incorporated in\n\tthe finite element toolbox ALBERTA. We also present several important\n\tapplications of the mesh coupling.",
"owner" : "kohlsk",
"language" : "English",
"bibtexKey": "koster2008design"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/21237a0ffaf182fdd91641c941d3d4db1/mhartmann",
"tags" : [
"parabolic","problems,","adaptive","elements,","convergence","finite","analysis","vorlaeufig"
],
"intraHash" : "1237a0ffaf182fdd91641c941d3d4db1",
"interHash" : "4f9e70559b93e67305a10572434e4d6a",
"label" : "Design and Convergence Analysis for an Adaptive Discretization of\n\tthe Heat Equation",
"user" : "mhartmann",
"description" : "",
"date" : "2018-07-20 10:54:15",
"changeDate" : "2018-07-20 08:54:15",
"count" : 2,
"pub-type": "electronic",
"journal": "IMA Journal of Numerical Analysis",
"year": "2012",
"url": "http://dx.doi.org/10.1093/imanum/drr026",
"author": [
"Christian Kreuzer","Christian Möller","Alfred Schmidt","Kunibert G. Siebert"
],
"authors": [
{"first" : "Christian", "last" : "Kreuzer"},
{"first" : "Christian", "last" : "Möller"},
{"first" : "Alfred", "last" : "Schmidt"},
{"first" : "Kunibert G.", "last" : "Siebert"}
],
"note": "Online First","abstract": "We derive an algorithm for the adaptive approximation of solutions\n\tto parabolic equations. It is based on adaptive finite elements in\n\tspace and the implicit Euler discretization in time with adaptive\n\ttime-step sizes. We prove that, given a positive tolerance for the\n\terror, the adaptive algorithm reaches the final time with a space�time\n\terror between continuous and discrete solution that is below the\n\tgiven tolerance. Numerical experiments reveal a more than competitive\n\tperformance of our algorithm ASTFEM (adaptive space�time finite element\n\tmethod).",
"owner" : "kohlsk",
"doi" : "10.1093/imanum/drr026",
"bibtexKey": "kreuzer2012design"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/21c60244a38629fa9b5fa4af44f264fb7/mhartmann",
"tags" : [
"Finite","Nonlinear","volume","Galerkin;","stochastic","Stochastic","vorlaeufig","method;","Hybrid"
],
"intraHash" : "1c60244a38629fa9b5fa4af44f264fb7",
"interHash" : "72587baef0ace21a63abc2e653f9c3c3",
"label" : "A stochastically and spatially adaptive parallel scheme for uncertain\n\tand nonlinear two-phase flow problems",
"user" : "mhartmann",
"description" : "",
"date" : "2018-07-20 10:54:15",
"changeDate" : "2018-07-20 08:54:15",
"count" : 1,
"pub-type": "article",
"journal": "Comput. Geosci.","publisher":"Springer International Publishing",
"year": "2015",
"url": "http://dx.doi.org/10.1007/s10596-014-9464-5",
"author": [
"Ilja Kr�ker","Wolfgang Nowak","Christian Rohde"
],
"authors": [
{"first" : "Ilja", "last" : "Kr�ker"},
{"first" : "Wolfgang", "last" : "Nowak"},
{"first" : "Christian", "last" : "Rohde"}
],
"volume": "19","number": "2","pages": "269--284",
"issn" : "1420-0597",
"owner" : "seusdd",
"language" : "English",
"doi" : "10.1007/s10596-014-9464-5",
"bibtexKey": "kroker2015stochastically"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/24276d5a0313937597a16f8ab9f50ce70/mhartmann",
"tags" : [
"a","equation","estimators,","convergence,","error","finite","methods,","posteriori","adaptivity,","element","vorlaeufig","heat"
],
"intraHash" : "4276d5a0313937597a16f8ab9f50ce70",
"interHash" : "590acae3fb93ecdb48f22ba922444179",
"label" : "A convergent time-space adaptive $dG(s)$ finite element method for\n\tparabolic problems motivated by equal error distribution",
"user" : "mhartmann",
"description" : "",
"date" : "2018-07-20 10:54:15",
"changeDate" : "2018-07-20 08:54:15",
"count" : 2,
"pub-type": "unpublished",
"journal": "Submitted",
"year": "2017",
"url": "https://arxiv.org/abs/1610.06814",
"author": [
"F. D. Gaspoz","C. Kreuzer","K. Siebert","D. Ziegler"
],
"authors": [
{"first" : "F. D.", "last" : "Gaspoz"},
{"first" : "C.", "last" : "Kreuzer"},
{"first" : "K.", "last" : "Siebert"},
{"first" : "D.", "last" : "Ziegler"}
],
"owner" : "langeras",
"bibtexKey": "gaspoz2017convergent"
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,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2a795baaf1eb095e7f7ab84a05f884ad8/mhartmann",
"tags" : [
"a","Dirac","estimators,","error","finite","fractional","methods,","posteriori","adaptivity,","element","spaces","mass,","Sobolev","vorlaeufig"
],
"intraHash" : "a795baaf1eb095e7f7ab84a05f884ad8",
"interHash" : "fea501ed2a4ad0de2f63886c01491c60",
"label" : "A posteriori error estimates with point sources in fractional sobolev\n\tspaces",
"user" : "mhartmann",
"description" : "",
"date" : "2018-07-20 10:54:15",
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"count" : 7,
"pub-type": "article",
"journal": "Numerical Methods for Partial Differential Equations",
"year": "2017",
"url": "http://dx.doi.org/10.1002/num.22065",
"author": [
"F. D. Gaspoz","P. Morin","A. Veeser"
],
"authors": [
{"first" : "F. D.", "last" : "Gaspoz"},
{"first" : "P.", "last" : "Morin"},
{"first" : "A.", "last" : "Veeser"}
],
"volume": "33","number": "4","pages": "1018--1042",
"issn" : "1098-2426",
"owner" : "langeras",
"doi" : "10.1002/num.22065",
"bibtexKey": "gaspoz2017posteriori"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/24ad0d7a01b29554c1add6721d17c4c9f/hermann",
"tags" : [
"Finite","(CLT);","Compression","Shear","Spruce","shear","(Picea","analysis;","(Fagus","abies);","Rolling","gamma-Method;","method}","{Cross-laminated","analogy","sylvatica);","Beech","element","Bending","test;","timber","wood","strength;","modulus;"
],
"intraHash" : "4ad0d7a01b29554c1add6721d17c4c9f",
"interHash" : "201f166932d880d63991d3876b9f56c0",
"label" : "Hybrid cross-laminated timber plates with beech wood cross-layers",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 2,
"pub-type": "article",
"journal": "CONSTRUCTION AND BUILDING MATERIALS","publisher":"ELSEVIER SCI LTD","address":"THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND",
"year": "{2016}",
"url": "",
"author": [
"Simon Aicher","Maren Hirsch","Zachary Christian"
],
"authors": [
{"first" : "Simon", "last" : "Aicher"},
{"first" : "Maren", "last" : "Hirsch"},
{"first" : "Zachary", "last" : "Christian"}
],
"volume": "124","pages": "1007-1018","abstract": "A hybrid, three-layered, softwood-hardwood cross-laminated timber\n build-up with outer layers of European spruce (Picea abies) and a center\n cross-layer of European beech (Fagus sylvatica) has been investigated\n with regard to out-of-plane bending. The determination of the rolling\n shear properties of the beech cross-layer performed by different test\n and measurement methods comprising bending and compression shear tests\n was of primary interest. The shear capacity of the composite is\n significantly influenced by the spruce longitudinal shear strength at\n the beech-spruce interface. The characteristic values of rolling shear\n modulus and strength of the beech cross-layer from the bending tests\n were G(r), mean = 350 N/mm(2) and f(v,r,05) = 2.6 N/mm(2), respectively.\n Direct strain gauge measurements and compression shear tests resulted in\n 10-20\\% higher values. The high rolling shear properties render the\n shear lag implications of the softwood CLTs to a negligible quantity.\n The hybrid build-up can be designed as a rigid composite with small\n error versus a more exact analysis. The novel investigations reveal the\n great potential of mixed softwood-hardwood CLT build-ups for structural\n elements in the building sector, (C) 2016 Elsevier Ltd. All rights\n reserved.",
"author-email" : "simon.aicher@mpa.uni-stuttgart.de",
"issn" : "0950-0618",
"keywords-plus" : "ROLLING SHEAR MODULUS; STRENGTH",
"funding-acknowledgement" : "FNR, Fachagentur Nachwachsende Rohstoffe e.V. [22004014]; German\n Association of glulam manufacturers; company Eugen Decker Holzindustrie\n KG, Morbach, Germany",
"research-areas" : "Construction & Building Technology; Engineering; Materials Science",
"eissn" : "1879-0526",
"number-of-cited-references" : "27",
"affiliation" : "Aicher, S (Reprint Author), Univ Stuttgart, Mat Testing Inst MPA, Timber Construct, Pfaffenwaldring 4b, D-70569 Stuttgart, Germany.\n Aicher, Simon; Hirsch, Maren; Christian, Zachary, Univ Stuttgart, Mat Testing Inst MPA, Timber Construct, Pfaffenwaldring 4b, D-70569 Stuttgart, Germany.",
"web-of-science-categories" : "Construction & Building Technology; Engineering, Civil; Materials\n Science, Multidisciplinary",
"language" : "English",
"funding-text" : "The work was financially supported by FNR, Fachagentur Nachwachsende\n Rohstoffe e.V., contract 22004014 within the ERA-WoodWisdom project\n ``European hardwoods for the building sector (EU Hardwoods)''. Further\n the financial and technical support by German Association of glulam\n manufacturers and the company Eugen Decker Holzindustrie KG, Morbach,\n Germany, is gratefully acknowledged.",
"times-cited" : "1",
"doi" : "10.1016/j.conbuildmat.2016.08.051",
"bibtexKey": "ISI:000385319300100"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2cffcf9b4d25fbc122de56edd6f23f805/hermann",
"tags" : [
"Finite","Uncertainty","Polynomial","quantification;","chaos;","Hybrid","method}","projection;","Galerkin","volume","Galerkin;","stochastic","model;","{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"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2504fc9cccbcc450523cb5d98dd60a126/hermann",
"tags" : [
"Finite","methods","control;","for","Numerical","differential","method}","Singular","equations;","distribution;","stochastic","element","{Dividend","partial"
],
"intraHash" : "504fc9cccbcc450523cb5d98dd60a126",
"interHash" : "ff9e17455504f09babc5aa7b043ed09e",
"label" : "A Non-stationary Model of Dividend Distribution in a Stochastic\n Interest-Rate Setting",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 7,
"pub-type": "article",
"journal": "COMPUTATIONAL ECONOMICS","publisher":"SPRINGER","address":"VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS",
"year": "{2016}",
"url": "",
"author": [
"Andrea Barth","Santiago Moreno-Bromberg","Oleg Reichmann"
],
"authors": [
{"first" : "Andrea", "last" : "Barth"},
{"first" : "Santiago", "last" : "Moreno-Bromberg"},
{"first" : "Oleg", "last" : "Reichmann"}
],
"volume": "47","number": "3","pages": "447-472","abstract": "In this paper the solutions to several variants of the so-called\n dividend-distribution problem in a multi-dimensional, diffusion setting\n are studied. In a nutshell, the manager of a firm must balance the\n retention of earnings (so as to ward off bankruptcy and earn interest)\n and the distribution of dividends (so as to please the shareholders). A\n dynamic-programming approach is used, where the state variables are the\n current levels of cash reserves and of the stochastic short-rate, as\n well as time. This results in a family of Hamilton-Jacobi-Bellman\n variational inequalities whose solutions must be approximated\n numerically. To do so, a finite element approximation and a\n time-marching scheme are employed.",
"author-email" : "andrea.barth@mathematik.uni-stuttgart.de\n santiago.moreno@bf.uzh.ch\n oleg.reichmann@math.ethz.ch",
"issn" : "0927-7099",
"keywords-plus" : "SEMIMARTINGALE; VOLATILITY; AMERICAN; POLICIES; OPTION; RISK",
"funding-acknowledgement" : "ERC [AdG 247277, 249415-RMAC]; NCCR FinRisk (Project ``Banking and\n Regulation''); Swiss Finance Institute (Project ``Systemic Risk and\n Dynamic Contract Theory''); SNF [144130]; German Research Foundation\n (DFG) as part of the Cluster of Excellence in Simulation Technology at\n the University of Stuttgart [EXC 310/2]",
"research-areas" : "Business & Economics; Mathematics",
"eissn" : "1572-9974",
"number-of-cited-references" : "34",
"affiliation" : "Moreno-Bromberg, S (Reprint Author), Univ Zurich, Dept Banking & Finance, Plattenstr 32, CH-8032 Zurich, Switzerland.\n Barth, Andrea, ETH, Dept Math, Seminar Appl Math, Ramistr 101, CH-8092 Zurich, Switzerland.\n Barth, Andrea, Univ Stuttgart, SimTech, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany.\n Moreno-Bromberg, Santiago, Univ Zurich, Dept Banking & Finance, Plattenstr 32, CH-8032 Zurich, Switzerland.\n Reichmann, Oleg, ETH, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland.",
"web-of-science-categories" : "Economics; Management; Mathematics, Interdisciplinary Applications",
"language" : "English",
"funding-text" : "We would like to thank the editor and an anonymous referee for their\n comments and suggestions, which allowed us to improve our original\n manuscript. It goes without saying that we assume full responsibility\n for any remaining mistakes. The research leading to these results has\n received funding form the ERC (Grant agreements AdG 247277 and\n 249415-RMAC), from NCCR FinRisk (Project ``Banking and Regulation''),\n from the Swiss Finance Institute (Project ``Systemic Risk and Dynamic\n Contract Theory''), from the SNF (Grant 144130) and from the German\n Research Foundation (DFG) as part of the Cluster of Excellence in\n Simulation Technology (EXC 310/2) at the University of Stuttgart, and it\n is gratefully acknowledged.",
"times-cited" : "0",
"doi" : "10.1007/s10614-015-9502-y",
"bibtexKey": "ISI:000371796600006"
}
,
{
"type" : "Publication",
"id" : "https://puma.ub.uni-stuttgart.de/bibtex/2ca15e451be40b14c5bec014bafe54360/hermann",
"tags" : [
"hyperbolic","field;","field}","finite","Carlo","quantification;","Monte","method;","differential","uncertainty","random","Ornstein-Uhlenbeck","{stochastic","volume","flux","equation;","spatiotemporal","Gaussian","partial","process;","function;"
],
"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/29b6542fb89dc84fb9eb03c6dc8e87e94/hermann",
"tags" : [
"Finite","element}","stents;","{Coronary","Crystal","plasticity;"
],
"intraHash" : "9b6542fb89dc84fb9eb03c6dc8e87e94",
"interHash" : "5b4dc78880c5b80e518727d33b2b0209",
"label" : "A study on the effect of grain dimension on the deformation of stent\n struts in tension, bending and unbending loading modes",
"user" : "hermann",
"description" : "",
"date" : "2017-05-18 11:32:12",
"changeDate" : "2017-05-18 09:32:12",
"count" : 1,
"pub-type": "article",
"journal": "INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES","publisher":"PERGAMON-ELSEVIER SCIENCE LTD","address":"THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND",
"year": "{2016}",
"url": "",
"author": [
"M. Abbaszadeh","J. Kadkhodapour","S. Schmauder","M. Hoseinpour"
],
"authors": [
{"first" : "M.", "last" : "Abbaszadeh"},
{"first" : "J.", "last" : "Kadkhodapour"},
{"first" : "S.", "last" : "Schmauder"},
{"first" : "M.", "last" : "Hoseinpour"}
],
"volume": "118","pages": "36-44","abstract": "Coronary stents are medical/mechanical micro devices which are used to\n open the arteries occluded by the build-up over time of fat,\n cholesterol, or other substances. A wide range of studies should be\n conducted on coronary stents since they play an important role in the\n health of patients who suffer from heart diseases. However, due to micro\n scale of these tools, and also their gripping and loading complexity\n during a test, it is very difficult to conduct experimental studies to\n understand their behavior. Moreover, because of their micro dimensions\n and subsequently, existence of only a few grains along their thickness,\n J(2) flow theory is not appropriate to be implemented in order to define\n the mechanical behavior of such devices. Therefore, in this paper, 3D\n crystal plasticity finite element method (3D-CP-FEM) is used to\n understand the behavior of these devices. To achieve this goal and to\n find the hardening constants of strut, some simulations were designed\n and compared with an experimental study. Also, the effect of grain size\n in terms of w/d and lid was investigated on the failure strain of struts\n under uniaxial tensile test. ``w'' and ``I'' are the width and\n length of the strut, respectively, and ``d'' is the average grain\n size. The results showed that failure strain increases within creasing\n w/d and decreasing lid. Parameter waviness was used to measure the\n qualification of stent struts in bending and unbending simulations.\n Results revealed that the edges of strut are the critical areas and have\n more potential to failure. Additionally, it was found that with the\n increase in the w/d ratio, waviness decreases and the struts become\n homogeneous in behavior. (C) 2016 Elsevier Ltd. All rights reserved.",
"author-email" : "masoud.abbaszadeh@imwf.uni-stuttgart.de",
"eissn" : "1879-2162",
"issn" : "0020-7403",
"keywords-plus" : "PLASTIC-DEFORMATION; STRAIN; CRYSTALS; BEHAVIOR; METALS",
"number-of-cited-references" : "16",
"web-of-science-categories" : "Engineering, Mechanical; Mechanics",
"affiliation" : "Abbaszadeh, M (Reprint Author), Univ Stuttgart, Inst Mat Testing Mat Sci & Strength Mat IMWF, Stuttgart, Germany.\n Abbaszadeh, M.; Schmauder, S., Univ Stuttgart, Inst Mat Testing Mat Sci & Strength Mat IMWF, Stuttgart, Germany.\n Kadkhodapour, J.; Hoseinpour, M., Shahid Rajaee Teacher Training Univ SRTTU, Dept Mech Engn, Tehran, Iran.",
"research-areas" : "Engineering; Mechanics",
"language" : "English",
"times-cited" : "0",
"doi" : "10.1016/j.ijmecsci.2016.09.010",
"bibtexKey": "ISI:000389395700004"
}
]
}