{ "types" : { "Bookmark" : { "pluralLabel" : "Bookmarks" }, "Publication" : { "pluralLabel" : "Publications" }, "GoldStandardPublication" : { "pluralLabel" : "GoldStandardPublications" }, "GoldStandardBookmark" : { "pluralLabel" : "GoldStandardBookmarks" }, "Tag" : { "pluralLabel" : "Tags" }, "User" : { "pluralLabel" : "Users" }, "Group" : { "pluralLabel" : "Groups" }, "Sphere" : { "pluralLabel" : "Spheres" } }, "properties" : { "count" : { "valueType" : "number" }, "date" : { "valueType" : "date" }, "changeDate" : { "valueType" : "date" }, "url" : { "valueType" : "url" }, "id" : { "valueType" : "url" }, "tags" : { "valueType" : "item" }, "user" : { "valueType" : "item" } }, "items" : [ { "type" : "Bookmark", "id" : "https://puma.ub.uni-stuttgart.de/url/0a4ae874e159df1426a9e73f77c7a00f/robingarcia", "tags" : [ "error","fluorescent" ], "intraHash" : "0a4ae874e159df1426a9e73f77c7a00f", "label" : "Every laboratory with a fluorescence microscope should consider counting molecules", "user" : "robingarcia", "description" : "", "date" : "2017-04-21 18:30:25", "changeDate" : "2017-04-21 16:30:25", "count" : 1, "url" : "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4019486/#__sec5title" } , { "type" : "Bookmark", "id" : "https://puma.ub.uni-stuttgart.de/url/130997cf6c767c19d4bc6efb5e90340b/robingarcia", "tags" : [ "error","model" ], "intraHash" : "130997cf6c767c19d4bc6efb5e90340b", "label" : "Measurement Errors in Fluorescence Microscopy Image Registration", "user" : "robingarcia", "description" : "", "date" : "2017-04-21 18:29:47", "changeDate" : "2017-04-21 16:29:47", "count" : 1, "url" : "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4487814/" } , { "type" : "Bookmark", "id" : "https://puma.ub.uni-stuttgart.de/url/e33e594bdb753736cb65aea79193bdf4/robingarcia", "tags" : [ "error","model" ], "intraHash" : "e33e594bdb753736cb65aea79193bdf4", "label" : "error model for protein quantification | Bioinformatics | Oxford Academic", "user" : "robingarcia", "description" : "", "date" : "2017-04-20 13:22:50", "changeDate" : "2017-04-20 11:22:50", "count" : 1, "url" : "https://academic.oup.com/bioinformatics/article/23/20/2747/229427/An-error-model-for-protein-quantification" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/248571bf42f9b3e1b94b541f568cd4f0f/isw-bibliothek", "tags" : [ "compensation","drive","error","feed","isw","learning","machine","tool" ], "intraHash" : "48571bf42f9b3e1b94b541f568cd4f0f", "interHash" : "fc115f1ff8efe474a50ffb3153d44a85", "label" : "Learning Compensation of the State-Dependent Transmission Errors in Rack-and-Pinion Drives", "user" : "isw-bibliothek", "description" : "", "date" : "2024-07-26 11:59:23", "changeDate" : "2024-07-26 12:00:17", "count" : 1, "pub-type": "inproceedings", "booktitle": "2024 European Control Conference (ECC)", "year": "2024", "url": "", "author": [ "Lukas Steinle","Valentin Leipe","Armin Lechler","Alexander Veri" ], "authors": [ {"first" : "Lukas", "last" : "Steinle"}, {"first" : "Valentin", "last" : "Leipe"}, {"first" : "Armin", "last" : "Lechler"}, {"first" : "Alexander", "last" : "Veri"} ], "pages": "2441-2447","abstract": "Rack-and-pinion drives are commonly used in large machine tools to provide linear motion of heavy loads over long travel distances. A key concern in this context is the achievable path accuracy, which is limited by assembly and manufacturing tolerances of the gearing components in conjunction with load-dependent deformation and the inherent backlash of the system. To address this issue, this paper presents a method for robust modeling of the individual and state-dependent transmission errors of a drive utilizing a two-stage machine learning approach. Based on this, the position control is extended to include an error compensation, which suppresses the modeled deviations in the mechanical system including the position-dependent backlash. The achievable increase in path accuracy as well as the robustness of the approach are evaluated and quantified by an experimental validation on a system with industry standard components.", "doi" : "10.23919/ECC64448.2024.10591213", "bibtexKey": "10591213" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2ec952595ff449504c1022011ebc3d996/tourian", "tags" : [ "ERA,","analysis","decomposition,","error","estimates,","evaluation,","geoinst","imported","multi-scale","precipitation","statistical" ], "intraHash" : "ec952595ff449504c1022011ebc3d996", "interHash" : "864577af10785fbb6ed1ad6c31ba06e2", "label" : "Evaluating the Evolution of ECMWF Precipitation Products Using Observational Data for Iran: From ERA40 to ERA5", "user" : "tourian", "description" : "", "date" : "2022-11-28 10:28:12", "changeDate" : "2025-11-30 22:22:14", "count" : 2, "pub-type": "article", "journal": "Earth and Space Science", "year": "2022", "url": "https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2022EA002352", "author": [ "Navid Ghajarnia","Mahdi Akbari","Peyman Saemian","Mohammad Reza Ehsani","Seyed-Mohammad Hosseini-Moghari","Asghar Azizian","Zahra Kalantari","Ali Behrangi","Mohammad J. Tourian","Björn Klöve","Ali Torabi Haghighi" ], "authors": [ {"first" : "Navid", "last" : "Ghajarnia"}, {"first" : "Mahdi", "last" : "Akbari"}, {"first" : "Peyman", "last" : "Saemian"}, {"first" : "Mohammad Reza", "last" : "Ehsani"}, {"first" : "Seyed-Mohammad", "last" : "Hosseini-Moghari"}, {"first" : "Asghar", "last" : "Azizian"}, {"first" : "Zahra", "last" : "Kalantari"}, {"first" : "Ali", "last" : "Behrangi"}, {"first" : "Mohammad J.", "last" : "Tourian"}, {"first" : "Björn", "last" : "Klöve"}, {"first" : "Ali Torabi", "last" : "Haghighi"} ], "volume": "9","number": "10","pages": "e2022EA002352","note": "e2022EA002352 2022EA002352","abstract": "Abstract European Center for Medium-Range Weather Forecasts Reanalysis (ERA), one of the most widely used precipitation products, has evolved from ERA-40 to ERA-20CM, ERA-20C, ERA-Interim, and ERA5. Studies evaluating the performance of individual ERA products cannot adequately assess the evolution of the products. We compared the performance of all ERA precipitation products at daily, monthly, and annual data (1980\u20132018) using more than 2100 Iran precipitation gauges. Results indicated that ERA-40 performed worst, followed by ERA-20CM, which showed only minor improvements over ERA-40. ERA-20C considerably outperformed its predecessors, benefiting from the assimilation of observational data. Although several previous studies have reported full superiority of ERA5 over ERA-Interim, our results revealed several shortcomings in ERA5 compared with the ERA-Interim estimates. Both ERA-Interim and ERA5 performed best overall, with ERA-Interim showing better statistical and categorical skill scores, and ERA5 performing better in estimating extreme precipitations. These results suggest that the accuracy of ERA precipitation products has improved from ERA-40 to ERA-Interim, but not consistently from ERA-Interim to ERA5. This study employed a grid-grid comparison approach by first creating a gridded reference data set through the spatial aggregation of point source observations, however, the results from a point-grid approach showed no change in the overall ranking of products (despite the slight changes in the error index values). These findings are useful for model development at a global scale and for hydrological applications in Iran.", "eprint" : "https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2022EA002352", "doi" : "https://doi.org/10.1029/2022EA002352", "bibtexKey": "https://doi.org/10.1029/2022EA002352" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/288e9a857661efa99f399e9d4f24b559e/mathematik", "tags" : [ "subspace","error","dynamical","kernel","a-posteriori","from:britsteiner","methods,","ians","nonlinear","systems,","offline/online","decomposition,","projection","estimates,","model","anm","reduction," ], "intraHash" : "88e9a857661efa99f399e9d4f24b559e", "interHash" : "e80ae72fe2c1f9f79f4f7f8f5ce00735", "label" : "Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems", "user" : "mathematik", "description" : "", "date" : "2021-09-29 14:35:08", "changeDate" : "2021-09-29 12:35:08", "count" : 11, "pub-type": "article", "journal": "Systems & Control Letters","publisher":"Elsevier BV", "year": "2012", "url": "http://dx.doi.org/10.1016/j.sysconle.2011.10.012", "author": [ "Daniel Wirtz","Bernard Haasdonk" ], "authors": [ {"first" : "Daniel", "last" : "Wirtz"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "volume": "61","number": "1","pages": "203--211","abstract": "In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.", "owner" : "schmidta", "groups" : "haasdonk, haasdonk_all_papers", "file" : ":PDF/WH12_www_preprint_error_estimation_nonlinear_kernel_based_reduced_systems.pdf:PDF", "doi" : "10.1016/j.sysconle.2011.10.012", "bibtexKey": "WH12" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2a83ef7da936322ea35f09a4d03bb61bd/mathematik", "tags" : [ "Error","decomposition;","medium","76D07","from:britsteiner","Porous","Reduced","ians","method;","basis","problem;","Stokes","76S05;","estimation;","equation;","Domain","Non-coercive","flow;","anm","65N55;" ], "intraHash" : "a83ef7da936322ea35f09a4d03bb61bd", "interHash" : "1474e2e0db6128c1ec02771a5ff8841b", "label" : "Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system", "user" : "mathematik", "description" : "", "date" : "2021-09-29 14:35:08", "changeDate" : "2021-09-29 12:35:08", "count" : 12, "pub-type": "article", "journal": "Advances in Computational Mathematics", "year": "2015", "url": "http://link.springer.com/article/10.1007/s10444-014-9396-6", "author": [ "I. Martini","G. Rozza","Bernard Haasdonk" ], "authors": [ {"first" : "I.", "last" : "Martini"}, {"first" : "G.", "last" : "Rozza"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "volume": "41","number": "5","pages": "1131--1157", "owner" : "maieril", "groups" : "haasdonk, maieril, haasdonk_all_papers", "file" : ":PDF/Maier2014a_www_RB_stokes_darcy_preprint.pdf:PDF", "doi" : "10.1007/s10444-014-9396-6", "bibtexKey": "Maier2014a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c9ff784e6a0440b80b45055fa2c9df7e/britsteiner", "tags" : [ "a-posteriori","anm","decomposition,","dynamical","error","estimates,","ians","kernel","methods,","model","nonlinear","offline/online","parameterized","projection","reduction,","subspace","systems," ], "intraHash" : "c9ff784e6a0440b80b45055fa2c9df7e", "interHash" : "e6dce191069323c30bda8a87cce2913a", "label" : "A-posteriori error estimation for parameterized kernel-based systems", "user" : "britsteiner", "description" : "", "date" : "2021-09-29 14:33:27", "changeDate" : "2021-09-29 12:35:04", "count" : 8, "pub-type": "inproceedings", "booktitle": "Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling", "year": "2012", "url": "http://www.ifac-papersonline.net/", "author": [ "Daniel Wirtz","Bernard Haasdonk" ], "authors": [ {"first" : "Daniel", "last" : "Wirtz"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "abstract": "This work is concerned with derivation of fully offine/online decomposable\n\teffcient aposteriori error estimators for reduced parameterized nonlinear\n\tkernel-based systems. The dynamical systems under consideration consist\n\tof a nonlinear, time- and parameter-dependent kernel expansion representing\n\tthe system's inner dynamics as well as time- and parameter-affne\n\tinputs, initial conditions and outputs. The estimators are established\n\tfor a reduction technique originally proposed in [7] and are an extension\n\tof the estimators derived in [11] to the fully time-dependent, parameterized\n\tsetting. Key features for the effcient error estimation are to use\n\tlocal Lipschitz constants provided by a certain class of kernels\n\tand an iterative scheme to balance computation cost against estimation\n\tsharpness. Together with the affnely time/parameter-dependent system\n\tcomponents a full offine/online decomposition for both the reduction\n\tprocess and the error estimators is possible. Some experimental results\n\tfor synthetic systems illustrate the effcient evaluation of the derived\n\terror estimators for different parameters.", "owner" : "haasdonk", "file" : ":PDF/WH12b_preprint.pdf:PDF", "groups" : "haasdonk, haasdonk_all_papers", "bibtexKey": "Wirtz2012a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/288e9a857661efa99f399e9d4f24b559e/britsteiner", "tags" : [ "a-posteriori","anm","decomposition,","dynamical","error","estimates,","ians","kernel","methods,","model","nonlinear","offline/online","projection","reduction,","subspace","systems," ], "intraHash" : "88e9a857661efa99f399e9d4f24b559e", "interHash" : "e80ae72fe2c1f9f79f4f7f8f5ce00735", "label" : "Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems", "user" : "britsteiner", "description" : "", "date" : "2021-09-29 14:33:27", "changeDate" : "2021-09-29 12:35:04", "count" : 11, "pub-type": "article", "journal": "Systems & Control Letters","publisher":"Elsevier BV", "year": "2012", "url": "http://dx.doi.org/10.1016/j.sysconle.2011.10.012", "author": [ "Daniel Wirtz","Bernard Haasdonk" ], "authors": [ {"first" : "Daniel", "last" : "Wirtz"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "volume": "61","number": "1","pages": "203--211","abstract": "In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.", "owner" : "schmidta", "groups" : "haasdonk, haasdonk_all_papers", "file" : ":PDF/WH12_www_preprint_error_estimation_nonlinear_kernel_based_reduced_systems.pdf:PDF", "doi" : "10.1016/j.sysconle.2011.10.012", "bibtexKey": "WH12" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2a83ef7da936322ea35f09a4d03bb61bd/britsteiner", "tags" : [ "65N55;","76D07","76S05;","Domain","Error","Non-coercive","Porous","Reduced","Stokes","anm","basis","decomposition;","equation;","estimation;","flow;","ians","medium","method;","problem;" ], "intraHash" : "a83ef7da936322ea35f09a4d03bb61bd", "interHash" : "1474e2e0db6128c1ec02771a5ff8841b", "label" : "Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system", "user" : "britsteiner", "description" : "", "date" : "2021-09-29 14:33:27", "changeDate" : "2021-09-29 12:35:04", "count" : 12, "pub-type": "article", "journal": "Advances in Computational Mathematics", "year": "2015", "url": "http://link.springer.com/article/10.1007/s10444-014-9396-6", "author": [ "I. Martini","G. Rozza","Bernard Haasdonk" ], "authors": [ {"first" : "I.", "last" : "Martini"}, {"first" : "G.", "last" : "Rozza"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "volume": "41","number": "5","pages": "1131--1157", "owner" : "maieril", "groups" : "haasdonk, maieril, haasdonk_all_papers", "file" : ":PDF/Maier2014a_www_RB_stokes_darcy_preprint.pdf:PDF", "doi" : "10.1007/s10444-014-9396-6", "bibtexKey": "Maier2014a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2072da899c758affe0d062ab23098b302/ingmarkallfass", "tags" : [ "(BER);complex","(EVM);millimeter-wave","(MMICs);performance","(SER);wireless","(mmw)","amplitude","bandwidths;in-phase","broadband","channels;E-band","characteristics;performance","circuits","communication","communication;Bit","communication;mmw","error","error;submillimeter-wave","estimation;performance","estimation;symbol","factor;local","frequency","frontend","frontend;broadband","imbalance;in-phase","imbalance;limiting","imbalance;quadrature","imperfection;performance","integrated","keying","keying;radio","limiting","limits;quadrature","links;broadband","links;channel","magnitude","millimeter-wave","modulated","modulation","modulation;error","monolithic","multigigabit","networks;error","networks;submillimetre","noise;Wireless","noise;extremely","noise;nonideal","noise;quadrature","oscillator","phase","phase-shift","range;symbol","rate","rate;Estimation;Modulation;Phase","rates;wireless","shift","signals;relative","statistics;millimetre","submillimeter-wave","systems;Bandwidth;Bit","vector","waves;phase","waves;wireless","wireless" ], "intraHash" : "072da899c758affe0d062ab23098b302", "interHash" : "a25ee8cd0c744aec557a35e0f991f07e", "label" : "Performance Estimation for Broadband Multi-Gigabit Millimeter and Sub-Millimeter Wave Wireless Communication Links", "user" : "ingmarkallfass", "description" : "", "date" : "2020-09-07 14:26:58", "changeDate" : "2025-05-26 10:46:15", "count" : 3, "pub-type": "article", "journal": "IEEE Trans. on Microwave Theory and Techniques", "year": "2015", "url": "", "author": [ "J. Antes","I. Kallfass" ], "authors": [ {"first" : "J.", "last" : "Antes"}, {"first" : "I.", "last" : "Kallfass"} ], "volume": "63","number": "10","pages": "3288--3299", "bdsk-url-1" : "https://doi.org/10.1109/TMTT.2015.2467390", "doi" : "10.1109/TMTT.2015.2467390", "bibtexKey": "Antes_MTT2015-2" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2f698e236a380faddfb8f96d98b28f5bc/inue", "tags" : [ "myown","network;over-the-air;software-defined","software-defined","from:sdnr","transmissions;open-source","(artificial","systems;block-based","module;transmitter","transmission;receiver","implementations;deep","computing;two-step","nets;radio","intelligence);neural","libraries;continuous","learning;communications","learning;end-to-end","rate;over-the-air","synchronization;frame","error","transmissions;receiver","deep","neural","software","synchronization","data","learning;modulation;neural","learning","libraries;software","radio","implementations;off-the-shelf","networks;NNs;block","procedure;end-to-end","radio;synchronisation;telecommunication","radios;Training;Receivers;Communication","networks;Hardware;Transmitters;Synchronization;Autoencoder;communication;deep","receivers;software","systems;Artificial" ], "intraHash" : "f698e236a380faddfb8f96d98b28f5bc", "interHash" : "a0e38e6df23c2f25303e9abd1d9fd60d", "label" : "Deep Learning Based Communication Over the Air", "user" : "inue", "description" : "", "date" : "2020-03-20 15:07:06", "changeDate" : "2020-03-20 14:07:06", "count" : 3, "pub-type": "article", "journal": "IEEE Journal of Selected Topics in Signal Processing", "year": "2018", "url": "", "author": [ "S. Dörner","S. Cammerer","J. Hoydis","S. ten Brink" ], "authors": [ {"first" : "S.", "last" : "Dörner"}, {"first" : "S.", "last" : "Cammerer"}, {"first" : "J.", "last" : "Hoydis"}, {"first" : "S.", "last" : "ten Brink"} ], "volume": "12","number": "1","pages": "132-143", "issn" : "1941-0484", "doi" : "10.1109/JSTSP.2017.2784180", "bibtexKey": "learning_to_communicate" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2ee7ff3227f584612ccaf760df2e7d567/annettegugel", "tags" : [ "data","distribution","error","estimation","measurement","measurements","medium","meter","placement","pseudo","real","state","system","three-phase","voltage" ], "intraHash" : "ee7ff3227f584612ccaf760df2e7d567", "interHash" : "458fd6ed132c0be9d143af324cb67abe", "label" : "Evaluation of a Three-Phase Distribution System State Estimation for Operational Use in a Real Medium Voltage Grid", "user" : "annettegugel", "description" : "", "date" : "2019-11-12 15:59:44", "changeDate" : "2024-10-30 14:17:27", "count" : 2, "pub-type": "conference", "year": "2019", "url": "https://www.ieh.uni-stuttgart.de/dokumente/publikationen/2019_09_Gross_Evaluation_of_a_Three-Phase_Distribution_System_State.pdf", "author": [ "Daniel Groß","Heiner Früh","Daniel Contreras","Krzysztof Rudion","Linda Rupp","Christian Lakenbrink" ], "authors": [ {"first" : "Daniel", "last" : "Groß"}, {"first" : "Heiner", "last" : "Früh"}, {"first" : "Daniel", "last" : "Contreras"}, {"first" : "Krzysztof", "last" : "Rudion"}, {"first" : "Linda", "last" : "Rupp"}, {"first" : "Christian", "last" : "Lakenbrink"} ], "eventtitle" : "2019 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)", "venue" : "Bucharest, Romania", "eventdate" : "September", "bibtexKey": "gross2019evaluation" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2699c9caf6155e0598d9c980105b8118d/mathematik", "tags" : [ "a-posteriori","decomposition,","dynamical","error","estimates,","from:mhartmann","ians","kernel","methods,","model","nonlinear","offline/online","projection","reduction,","subspace","systems,","vorlaeufig" ], "intraHash" : "699c9caf6155e0598d9c980105b8118d", "interHash" : "e80ae72fe2c1f9f79f4f7f8f5ce00735", "label" : "Efficient a-posteriori error estimation for nonlinear kernel-based\n\treduced systems", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:55:02", "changeDate" : "2019-12-18 14:37:55", "count" : 11, "pub-type": "article", "journal": "Systems and Control Letters", "year": "2012", "url": "http://www.sciencedirect.com/science/article/pii/S0167691111002672", "author": [ "D. Wirtz","B. Haasdonk" ], "authors": [ {"first" : "D.", "last" : "Wirtz"}, {"first" : "B.", "last" : "Haasdonk"} ], "volume": "61","number": "1","pages": "203 - 211","abstract": "In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.", "file" : ":/home/dwirtz/dwirtzwww/WH10_preprint.pdf:PDF", "doi" : "10.1016/j.sysconle.2011.10.012", "bibtexKey": "wirtz2012efficient" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2a795baaf1eb095e7f7ab84a05f884ad8/mathematik", "tags" : [ "Dirac","Sobolev","a","adaptivity,","element","error","estimators,","finite","fractional","from:mhartmann","ians","mass,","methods,","posteriori","spaces","vorlaeufig" ], "intraHash" : "a795baaf1eb095e7f7ab84a05f884ad8", "interHash" : "fea501ed2a4ad0de2f63886c01491c60", "label" : "A posteriori error estimates with point sources in fractional sobolev\n\tspaces", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:55:02", "changeDate" : "2019-12-18 14:37:55", "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/24276d5a0313937597a16f8ab9f50ce70/mathematik", "tags" : [ "a","adaptivity,","convergence,","element","equation","error","estimators,","finite","from:mhartmann","heat","ians","methods,","posteriori","vorlaeufig" ], "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" : "mathematik", "description" : "", "date" : "2018-07-20 10:54:52", "changeDate" : "2019-12-18 14:37:55", "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" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2cc6b799a8d34f87ec3cd593a8053b3ae/mathematik", "tags" : [ "65N55;","76D07","76S05;","Domain","Error","Non-coercive","Porous","Reduced","Stokes","basis","decomposition;","equation;","estimation;","flow;","from:mhartmann","ians","medium","method;","problem;","vorlaeufig" ], "intraHash" : "cc6b799a8d34f87ec3cd593a8053b3ae", "interHash" : "1474e2e0db6128c1ec02771a5ff8841b", "label" : "Reduced basis approximation and a-posteriori error estimation for\n\tthe coupled Stokes-Darcy system", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:54:42", "changeDate" : "2019-12-18 14:37:55", "count" : 12, "pub-type": "article", "journal": "Advances in Computational Mathematics", "year": "2015", "url": "http://link.springer.com/article/10.1007/s10444-014-9396-6", "author": [ "I. Martini","G. Rozza","B. Haasdonk" ], "authors": [ {"first" : "I.", "last" : "Martini"}, {"first" : "G.", "last" : "Rozza"}, {"first" : "B.", "last" : "Haasdonk"} ], "volume": "41","number": "5","pages": "1131--1157", "file" : ":http\\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Maier2014a_www_RB_stokes_darcy_preprint.pdf:PDF", "owner" : "maieril", "doi" : "10.1007/s10444-014-9396-6", "bibtexKey": "martini2015reduced" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2f5f80e984a2acb11eefec6e697309130/mathematik", "tags" : [ "A","convergence;","error","estimate;","from:mhartmann","ians","multigrid","oscillation;","posteriori","preconditioning","reduction;","vorlaeufig" ], "intraHash" : "f5f80e984a2acb11eefec6e697309130", "interHash" : "0455c6fff7212a7c27b39d27400fc025", "label" : "Design and Convergence of AFEM in $H(div)$", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:54:39", "changeDate" : "2019-12-18 14:37:55", "count" : 2, "pub-type": "article", "journal": "Mathematical Models & Methods in Applied Sciences", "year": "2007", "url": "http://dx.doi.org/10.1142/S0218202507002492", "author": [ "J. Manuel Cascón","Ricardo H. Nochetto","Kunibert G. Siebert" ], "authors": [ {"first" : "J. Manuel", "last" : "Cascón"}, {"first" : "Ricardo H.", "last" : "Nochetto"}, {"first" : "Kunibert G.", "last" : "Siebert"} ], "volume": "17","number": "11","pages": "1849--1881","abstract": "We design an adaptive finite element method (AFEM) for mixed boundary\n\tvalue problems associated with the differential operator A-?div in\n\tH(div, O). For A being a variable coefficient matrix with possible\n\tjump discontinuities, we provide a complete a posteriori error analysis\n\twhich applies to both Raviart�Thomas R", "owner" : "kohlsk", "doi" : "10.1142/S0218202507002492", "bibtexKey": "cascon2007design" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c9ff784e6a0440b80b45055fa2c9df7e/mathematik", "tags" : [ "a-posteriori","decomposition,","dynamical","error","estimates,","from:mhartmann","ians","kernel","methods,","model","nonlinear","offline/online","parameterized","projection","reduction,","subspace","systems,","vorlaeufig" ], "intraHash" : "c9ff784e6a0440b80b45055fa2c9df7e", "interHash" : "e6dce191069323c30bda8a87cce2913a", "label" : "A-posteriori error estimation for parameterized kernel-based systems", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:54:37", "changeDate" : "2019-12-18 14:37:55", "count" : 8, "pub-type": "inproceedings", "booktitle": "Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical\n\tModelling", "year": "2012", "url": "http://www.ifac-papersonline.net/", "author": [ "Daniel Wirtz","Bernard Haasdonk" ], "authors": [ {"first" : "Daniel", "last" : "Wirtz"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "abstract": "This work is concerned with derivation of fully offine/online decomposable\n\teffcient aposteriori error estimators for reduced parameterized nonlinear\n\tkernel-based systems. The dynamical systems under consideration consist\n\tof a nonlinear, time- and parameter-dependent kernel expansion representing\n\tthe system's inner dynamics as well as time- and parameter-affne\n\tinputs, initial conditions and outputs. The estimators are established\n\tfor a reduction technique originally proposed in [7] and are an extension\n\tof the estimators derived in [11] to the fully time-dependent, parameterized\n\tsetting. Key features for the effcient error estimation are to use\n\tlocal Lipschitz constants provided by a certain class of kernels\n\tand an iterative scheme to balance computation cost against estimation\n\tsharpness. Together with the affnely time/parameter-dependent system\n\tcomponents a full offine/online decomposition for both the reduction\n\tprocess and the error estimators is possible. Some experimental results\n\tfor synthetic systems illustrate the effcient evaluation of the derived\n\terror estimators for different parameters.", "owner" : "haasdonk", "bibtexKey": "wirtz2012aposteriori" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2992b581f1e96812159406b320cdc362c/mathematik", "tags" : [ "a","adaptive","elliptic","equations","error","estimator,","from:mhartmann","ians","mesh","posteriori","refinement,","vorlaeufig" ], "intraHash" : "992b581f1e96812159406b320cdc362c", "interHash" : "1e7a0334d6389891fae356da35076ece", "label" : "Convergence rates for adaptive finite elements", "user" : "mathematik", "description" : "", "date" : "2018-07-20 10:54:31", "changeDate" : "2019-12-18 14:37:55", "count" : 5, "pub-type": "article", "journal": "IMA J. Numer. Anal.","publisher":"Oxford University Press", "year": "2009", "url": "", "author": [ "Fernando D. Gaspoz","Pedro Morin" ], "authors": [ {"first" : "Fernando D.", "last" : "Gaspoz"}, {"first" : "Pedro", "last" : "Morin"} ], "volume": "29","number": "4","pages": "917--936", "owner" : "szur", "fjournal" : "IMA Journal on Numerical Analysis", "bibtexKey": "gaspoz2009convergence" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2a795baaf1eb095e7f7ab84a05f884ad8/mhartmann", "tags" : [ "Dirac","Sobolev","a","adaptivity,","element","error","estimators,","finite","fractional","mass,","methods,","posteriori","spaces","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", "changeDate" : "2018-07-20 08:54:15", "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/2699c9caf6155e0598d9c980105b8118d/mhartmann", "tags" : [ "a-posteriori","decomposition,","dynamical","error","estimates,","kernel","methods,","model","nonlinear","offline/online","projection","reduction,","subspace","systems,","vorlaeufig" ], "intraHash" : "699c9caf6155e0598d9c980105b8118d", "interHash" : "e80ae72fe2c1f9f79f4f7f8f5ce00735", "label" : "Efficient a-posteriori error estimation for nonlinear kernel-based\n\treduced systems", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 11, "pub-type": "article", "journal": "Systems and Control Letters", "year": "2012", "url": "http://www.sciencedirect.com/science/article/pii/S0167691111002672", "author": [ "D. Wirtz","B. Haasdonk" ], "authors": [ {"first" : "D.", "last" : "Wirtz"}, {"first" : "B.", "last" : "Haasdonk"} ], "volume": "61","number": "1","pages": "203 - 211","abstract": "In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.", "file" : ":/home/dwirtz/dwirtzwww/WH10_preprint.pdf:PDF", "doi" : "10.1016/j.sysconle.2011.10.012", "bibtexKey": "wirtz2012efficient" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/24276d5a0313937597a16f8ab9f50ce70/mhartmann", "tags" : [ "a","adaptivity,","convergence,","element","equation","error","estimators,","finite","heat","methods,","posteriori","vorlaeufig" ], "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" } ] }