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In particular, this method is easy to integrate into existing finite element programs because it does not require derivatives with respect to design variables "}],"date_updated":"2025-03-03T08:00:30Z","corporate_editor":["European Congress on Computational Methods in Applied Sciences and Engineering"],"date_created":"2025-02-28T10:52:33Z","publication":"\t The 9th European Congress on Computational Methods in Applied Sciences and Engineering : ECCOMAS Congress 2024 : 3-7 June 2024, Lisboa, Portugal","language":[{"iso":"eng"}],"oa":"1","citation":{"ama":"Materna D. <i>Approximate Calculation of Changes in Local and Global Quantities Due to Design Modifications.</i> (European Congress on Computational Methods in Applied Sciences and Engineering, ed.). Scipedia, S.L.; 2024. doi:<a href=\"https://doi.org/10.23967/eccomas.2024.036\">10.23967/eccomas.2024.036</a>","ieee":"D. Materna, <i>Approximate calculation of changes in local and global quantities due to design modifications.</i> [Barcelona, Spain] : Scipedia, S.L., 2024. doi: <a href=\"https://doi.org/10.23967/eccomas.2024.036\">10.23967/eccomas.2024.036</a>.","van":"Materna D. Approximate calculation of changes in local and global quantities due to design modifications. European Congress on Computational Methods in Applied Sciences and Engineering, editor.   The 9th European Congress on Computational Methods in Applied Sciences and Engineering : ECCOMAS Congress 2024 : 3-7 June 2024, Lisboa, Portugal. [Barcelona, Spain] : Scipedia, S.L.; 2024.","bjps":"<b>Materna D</b> (2024) <i>Approximate Calculation of Changes in Local and Global Quantities Due to Design Modifications.</i>, European Congress on Computational Methods in Applied Sciences and Engineering (ed.). [Barcelona, Spain] : Scipedia, S.L.","havard":"D. 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Approximate calculation of changes in local and global quantities due to design modifications. In European Congress on Computational Methods in Applied Sciences and Engineering (Ed.), <i>  The 9th European Congress on Computational Methods in Applied Sciences and Engineering : ECCOMAS Congress 2024 : 3-7 June 2024, Lisboa, Portugal</i>. Scipedia, S.L. <a href=\"https://doi.org/10.23967/eccomas.2024.036\">https://doi.org/10.23967/eccomas.2024.036</a>","chicago":"Materna, Daniel. <i>Approximate Calculation of Changes in Local and Global Quantities Due to Design Modifications.</i> Edited by European Congress on Computational Methods in Applied Sciences and Engineering. <i>  The 9th European Congress on Computational Methods in Applied Sciences and Engineering : ECCOMAS Congress 2024 : 3-7 June 2024, Lisboa, Portugal</i>. [Barcelona, Spain] : Scipedia, S.L., 2024. <a href=\"https://doi.org/10.23967/eccomas.2024.036\">https://doi.org/10.23967/eccomas.2024.036</a>.","short":"D. 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The approach is based on a goal-oriented method using primal and dual problems. Furthermore, the procedure is easy to implement in existing finite element programs because no derivatives with respect to the design variables are necessary. The proposed method can be used in classical applications with successive design steps, such as structural optimization, reliability, or structural damage analysis. The repeated structural analysis and calculating quantities of interest involve significant computational effort. Goal-oriented reanalysis methods can reduce the overall computational cost in the numerical simulation."}],"quality_controlled":"1","publisher":"Wiley-VCH"},{"related_material":{"link":[{"relation":"confirmation","url":"https://jahrestagung.gamm.org/wp-content/uploads/2023/05/20230517_BookofAbstracts_final_red.pdf"}]},"date_updated":"2025-06-12T13:41:40Z","date_created":"2025-02-28T10:57:21Z","publication":"93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023","publication_identifier":{"eissn":["1617-7061"]},"language":[{"iso":"eng"}],"citation":{"ieee":"D. Materna, <i>Theoretical aspects and applications of goal-oriented reanalysis methods</i>, vol. 23, no. 4. Wiley, 2023. doi: <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","ama":"Materna D. <i>Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods</i>. Vol 23. 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The method allows the prediction of the change in a quantity of interest due to structural modifications (design changes), e.g. the shape, the topology, material properties, etc. The approach is based on a goal-oriented method by using the primal and dual problems. Furthermore, the method is easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary. The proposed method can be used in classical applica-tions with successive design steps, for instance structural optimization, reliability analysis or structural damage analysis. In many cases hundreds or even thousands of different design configurations are investigated, and the state equation must be solved for each design step. The repeated structural analysis and the calculation of quantities of interest involves signifi-cant computational effort. Goal-oriented reanalysis methods can be used in order to reduce the overall computational cost in the numerical simulation."}]},{"author":[{"first_name":"Daniel","id":"61906","last_name":"Materna","full_name":"Materna, Daniel"}],"year":2021,"department":[{"_id":"DEP3020"}],"status":"public","title":"Prediction of changes in local quantities of interest due to structural modifications","citation":{"havard":"D. Materna, Prediction of changes in local quantities of interest due to structural modifications, PAMM. 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Proceedings in applied mathematics and mechanics : PAMM . 2021;21(1).","chicago":"Materna, Daniel. “Reanalysis for Local Quantities of Interest.” <i>Proceedings in Applied Mathematics and Mechanics : PAMM </i> 21, no. 1 (2021). <a href=\"https://doi.org/10.1002/pamm.202100079\">https://doi.org/10.1002/pamm.202100079</a>.","apa":"Materna, D. (2021). Reanalysis for local quantities of interest. <i>Proceedings in Applied Mathematics and Mechanics : PAMM </i>, <i>21</i>(1), Article e202100079. <a href=\"https://doi.org/10.1002/pamm.202100079\">https://doi.org/10.1002/pamm.202100079</a>"},"volume":21,"publication_status":"published","title":"Reanalysis for local quantities of interest","publisher":"Wiley-VCH-Verl.","quality_controlled":"1","status":"public","abstract":[{"text":"In this contribution a method for the prediction of the change in a quantity of interest due to structural modifications is considered. The approach is based on a goal-oriented method by using the primal and dual problems. The method can be used in order to reduce the overall computational cost in the numerical simulation. Furthermore, the proposed method is easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary.","lang":"eng"}],"issue":"1","author":[{"full_name":"Materna, Daniel","first_name":"Daniel","last_name":"Materna","id":"61906"}],"year":"2021","department":[{"_id":"DEP3020"}]},{"_id":"12615","place":"Düsseldorf","language":[{"iso":"ger"}],"oa":"1","corporate_editor":["Ministerium für Heimat, Kommunales,  Bau und Gleichstellung   des Landes Nordrhein-Westfalen"],"user_id":"61906","related_material":{"link":[{"url":"https://broschuerenservice.nrw.de/default/shop/digitalisierung-im-bauwesen-ausbildungsinhalte-nordrhein-westfalischer-hochschulen-lehre|1555","relation":"confirmation"}]},"date_updated":"2025-02-28T12:57:20Z","publication":"Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen","type":"book_chapter","date_created":"2025-02-28T12:17:36Z","status":"public","page":"84-85","author":[{"full_name":"Materna, Daniel","first_name":"Daniel","last_name":"Materna","id":"61906"},{"id":"76704","last_name":"Gerzen","first_name":"Nikolai","full_name":"Gerzen, Nikolai"}],"year":"2021","main_file_link":[{"open_access":"1","url":"https://broschuerenservice.nrw.de/aimeos/default/files?download_page=0&product_id=1556&files=5/6/56f2588e0c724f8e59c70138d169bae3.pdf"}],"department":[{"_id":"DEP3020"}],"citation":{"ieee":"D. 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Düsseldorf, pp. 84–85.","mla":"Materna, Daniel, and Nikolai Gerzen. “Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik.” <i>Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen</i>, edited by Ministerium für Heimat, Kommunales,  Bau und Gleichstellung   des Landes Nordrhein-Westfalen, 2021, pp. 84–85.","ufg":"<b>Materna, Daniel/Gerzen, Nikolai</b>: Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik, in: <i>Ministerium für Heimat, Kommunales,  Bau und Gleichstellung   des Landes Nordrhein-Westfalen (Hg.)</i>: Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen, Düsseldorf 2021,  S. 84–85.","short":"D. Materna, N. Gerzen, in: Ministerium für Heimat, Kommunales,  Bau und Gleichstellung   des Landes Nordrhein-Westfalen (Ed.), Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen, Düsseldorf, 2021, pp. 84–85.","din1505-2-1":"<span style=\"font-variant:small-caps;\">Materna, Daniel</span> ; <span style=\"font-variant:small-caps;\">Gerzen, Nikolai</span>: Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik. In: <span style=\"font-variant:small-caps;\">Ministerium für Heimat, Kommunales,  Bau und Gleichstellung   des Landes Nordrhein-Westfalen</span> (Hrsg.): <i>Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen</i>. Düsseldorf, 2021, S. 84–85","chicago-de":"Materna, Daniel und Nikolai Gerzen. 2021. Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik. 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In Ministerium für Heimat, Kommunales, Bau und Gleichstellung des Landes Nordrhein-Westfalen (Ed.), <i>Digitalisierung im Bauwesen - Forschungsinhalte nordrhein-westfälischer Hochschule</i> (pp. 73–74).","chicago":"Materna, Daniel, and Nikolai Gerzen. “Bauingenieurwesen: Digitales Bauen, Mathematik Und Bauinformatik.” In <i>Digitalisierung Im Bauwesen - Forschungsinhalte Nordrhein-Westfälischer Hochschule</i>, edited by Ministerium für Heimat, Kommunales, Bau und Gleichstellung des Landes Nordrhein-Westfalen, 73–74. Düsseldorf, 2021.","van":"Materna D, Gerzen N. Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik. In: Ministerium für Heimat, Kommunales, Bau und Gleichstellung des Landes Nordrhein-Westfalen, editor. Digitalisierung im Bauwesen - Forschungsinhalte nordrhein-westfälischer Hochschule. 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Global and goal-oriented reanalysis in nonlinear structural mechanics. Proceedings in Applied Mathematics Mechanics. 2018;18(1).","ama":"Materna D. Global and goal-oriented reanalysis in nonlinear structural mechanics. <i>Proceedings in Applied Mathematics Mechanics</i>. 2018;18(1). doi:<a href=\"https://doi.org/10.1002/pamm.201800344\">10.1002/pamm.201800344</a>"},"volume":18,"title":"Global and goal-oriented reanalysis in nonlinear structural mechanics","status":"public","publisher":"Wiley Online Library","department":[{"_id":"DEP3020"}],"author":[{"id":"61906","first_name":"Daniel","last_name":"Materna","full_name":"Materna, Daniel"}],"year":2018,"issue":"1","abstract":[{"lang":"eng","text":"Reanalysis methods can be used in order to reduce the overall computational cost in numerical simulation. In this contribution an approach for global and goal‐oriented nonlinear reanalysis based on residual increment approximations (RIA) is presented. The method requires only the evaluation of residual vectors, which can be done very fast and efficient. Moreover, the results are improved by using a rational approximation method. The approach is general and can be applied to linear and nonlinear problems with different kind of design modifications. Furthermore, the proposed method is very efficient and easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary."}]},{"title":"Global and goal-oriented reanalysis in nonlinear structural mechanics","citation":{"ama":"Materna D. Global and goal-oriented reanalysis in nonlinear structural mechanics. In: ; 2018.","ieee":"D. 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(2016)</b>: Efficient Variational Design Sensitivity Analysis, in: Pekka Neittaanmäki et. al. (Hgg.): <i>Mathematical Modeling and Optimization of Complex Structures</i>, S. 229–257.","bjps":"<b>Barthold F-J <i>et al.</i></b> (2016) Efficient Variational Design Sensitivity Analysis. In Neittaanmäki P, Repin S and Tuovinen T (eds), <i>Mathematical Modeling and Optimization of Complex Structures</i>. Springer-Verlag, pp. 229–257.","havard":"F.-J. Barthold, N. Gerzen, W. Kijanski, D. Materna, Efficient Variational Design Sensitivity Analysis, in: P. Neittaanmäki, S. Repin, T. Tuovinen (Eds.), Mathematical Modeling and Optimization of Complex Structures, Springer-Verlag, 2016: pp. 229–257.","mla":"Barthold, Franz-Joseph, et al. “Efficient Variational Design Sensitivity Analysis.” <i>Mathematical Modeling and Optimization of Complex Structures</i>, edited by Pekka Neittaanmäki et al., Springer-Verlag, 2016, pp. 229–57.","van":"Barthold F-J, Gerzen N, Kijanski W, Materna D. 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Efficient nonlinear reanalysis for structural modifications. <i>Proceedings in Applied Mathematics and Mechanics</i>, <i>16</i>(1), 223–224. <a href=\"https://doi.org/10.1002/pamm.201610100\">https://doi.org/10.1002/pamm.201610100</a>"},"publication_status":"published"},{"language":[{"iso":"eng"}],"_id":"2337","doi":"10.1007/s00466-015-1209-3","user_id":"74004","date_updated":"2023-03-15T13:49:39Z","intvolume":"        57","publication":"Computational Mechanics","date_created":"2020-05-15T07:52:19Z","type":"journal_article","status":"public","page":"1-18","main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00466-015-1209-3"}],"author":[{"full_name":"Materna, Daniel","last_name":"Materna","id":"61906","first_name":"Daniel"},{"last_name":"Kalpakides","first_name":"V. K.","full_name":"Kalpakides, V. K."}],"year":2016,"department":[{"_id":"DEP3020"}],"issue":"1","citation":{"ama":"Materna D, Kalpakides VK. 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Nonlinear reanalysis for structural modifications based on residual increment approximations. <i>Computational Mechanics</i>, <i>57</i>(1), 1–18. <a href=\"https://doi.org/10.1007/s00466-015-1209-3\">https://doi.org/10.1007/s00466-015-1209-3</a>","chicago-de":"Materna, Daniel und V. K. Kalpakides. 2016. Nonlinear reanalysis for structural modifications based on residual increment approximations. <i>Computational Mechanics</i> 57, Nr. 1: 1–18. doi:<a href=\"https://doi.org/10.1007/s00466-015-1209-3,\">10.1007/s00466-015-1209-3,</a> .","din1505-2-1":"<span style=\"font-variant:small-caps;\">Materna, Daniel</span> ; <span style=\"font-variant:small-caps;\">Kalpakides, V. K.</span>: Nonlinear reanalysis for structural modifications based on residual increment approximations. In: <i>Computational Mechanics</i> Bd. 57 (2016), Nr. 1, S. 1–18","short":"D. Materna, V.K. Kalpakides, Computational Mechanics 57 (2016) 1–18."},"volume":57,"publication_status":"published","title":"Nonlinear reanalysis for structural modifications based on residual increment approximations"},{"publisher":"Wiley Online Library","abstract":[{"text":"In this paper an approach for nonlinear reanalysis based on residual increment approximations (RIA) is presented. The method requires only the evaluation of residual vectors, which can be done very fast and efficient. Moreover, the results are improved by using a rational approximation method. The approach is general and can be applied to linear and nonlinear problems with different kind of design modifications. Furthermore, the proposed method is very efficient and easily to implement in existing finite element programs.","lang":"eng"}],"issue":"1","department":[{"_id":"DEP3020"}],"publication_status":"published","doi":"10.1002/pamm.201610100","_id":"2338","intvolume":"        16","user_id":"74004","type":"journal_article","page":"223-224","status":"public","year":2016,"author":[{"last_name":"Materna","first_name":"Daniel","full_name":"Materna, Daniel","id":"61906"}],"main_file_link":[{"url":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/pamm.201610100"}],"citation":{"ieee":"D. Materna, “Efficient nonlinear reanalysis for structural modifications,” <i>Proceedings in Applied Mathematics and Mechanics</i>, vol. 16, no. 1, pp. 223–224, 2016.","ama":"Materna D. 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K.","first_name":"V. K.","last_name":"Kalpakides"}],"page":"2391-2406","status":"public","publisher":"Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece","extern":"1","title":"OPT-i - International Conference on Engineering and Applied Sciences Optimization","publication_status":"published","citation":{"chicago":"Materna, Daniel, and V. K. Kalpakides. “OPT-i - International Conference on Engineering and Applied Sciences Optimization.” In <i>{International Conference on Engineering and Applied Sciences Optimization}</i>, edited by M.G. Karlaftis, N.D. Lagaros, and M. Papadrakakis, 2391–2406. Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece, 2014.","apa":"Materna, D., &#38; Kalpakides, V. K. (2014). OPT-i - International Conference on Engineering and Applied Sciences Optimization. In M. G. Karlaftis, N. D. Lagaros, &#38; M. Papadrakakis (Eds.), <i>{International Conference on Engineering and Applied Sciences Optimization}</i> (pp. 2391–2406). Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece.","ieee":"D. Materna and V. K. Kalpakides, “OPT-i - International Conference on Engineering and Applied Sciences Optimization,” in <i>{International Conference on Engineering and Applied Sciences Optimization}</i>, M. G. Karlaftis, N. D. Lagaros, and M. Papadrakakis, Eds. Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece, 2014, pp. 2391–2406.","ufg":"<b>Materna, Daniel/Kalpakides, V. K. (2014)</b>: OPT-i - International Conference on Engineering and Applied Sciences Optimization, in: M.G. Karlaftis et. al. (Hgg.): <i>{International Conference on Engineering and Applied Sciences Optimization}</i>, S. 2391–2406.","havard":"D. Materna, V.K. Kalpakides, OPT-i - International Conference on Engineering and Applied Sciences Optimization, in: M.G. 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