@misc{12612, abstract = {{This contribution introduces a method for goal-oriented and global reanalysis. It allows the prediction of changes in selected quantities of interest by using the changes in the primal and dual so lutions resulting from structural modifications (e.g., changes in shape, topology, or material properties). Theapproach uses a goal-oriented method that includes both primal and dual problems. In particular, this method is easy to integrate into existing finite element programs because it does not require derivatives with respect to design variables }}, author = {{Materna, Daniel}}, booktitle = {{ The 9th European Congress on Computational Methods in Applied Sciences and Engineering : ECCOMAS Congress 2024 : 3-7 June 2024, Lisboa, Portugal}}, location = {{Lissabon}}, publisher = {{Scipedia, S.L.}}, title = {{{Approximate calculation of changes in local and global quantities due to design modifications.}}}, doi = {{10.23967/eccomas.2024.036}}, year = {{2024}}, } @misc{10609, abstract = {{Abstract In this contribution, a method for goal-oriented reanalysis is presented. The process allows predicting the change in a quantity of interest due to structural modifications (design changes), for example, the shape, the topology, material properties, and so forth. 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.}}, author = {{Materna, Daniel}}, booktitle = {{Proceedings in applied mathematics and mechanics : PAMM }}, issn = {{1617-7061}}, number = {{4}}, pages = {{e202300164}}, publisher = {{Wiley-VCH}}, title = {{{Theoretical aspects and applications of goal-oriented reanalysis methods}}}, doi = {{https://doi.org/10.1002/pamm.202300164}}, volume = {{23}}, year = {{2023}}, } @misc{12614, abstract = {{In this contribution a method for goal-oriented reanalysis is presented. 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 = {{Materna, Daniel}}, booktitle = {{93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023}}, issn = {{1617-7061}}, location = {{Dresden}}, number = {{4}}, publisher = {{Wiley}}, title = {{{Theoretical aspects and applications of goal-oriented reanalysis methods}}}, doi = {{https://doi.org/10.1002/pamm.202300164}}, volume = {{23}}, year = {{2023}}, } @article{6846, author = {{Materna, Daniel}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{Prediction of changes in local quantities of interest due to structural modifications}}}, doi = {{10.1002/pamm.202000201}}, year = {{2021}}, } @inproceedings{6849, author = {{Materna, Daniel}}, booktitle = {{Proc. of the 14th World Congress on Computational Mechanics (WCCM) and ECCOMAS Congress}}, title = {{{Computation of changes in local quantities of interest due to design modifications}}}, year = {{2021}}, } @inproceedings{6851, author = {{Materna, Daniel}}, location = {{Virtual Congress}}, title = {{{Computation of changes in local quantities of interest due to design modifications}}}, year = {{2021}}, } @inproceedings{6853, author = {{Materna, Daniel}}, location = {{Kassel, Germany}}, title = {{{Reanalysis for local quantities of interest}}}, year = {{2021}}, } @article{7003, abstract = {{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.}}, author = {{Materna, Daniel}}, journal = {{Proceedings in applied mathematics and mechanics : PAMM }}, number = {{1}}, publisher = {{Wiley-VCH-Verl.}}, title = {{{Reanalysis for local quantities of interest}}}, doi = {{10.1002/pamm.202100079}}, volume = {{21}}, year = {{2021}}, } @inbook{12615, author = {{Materna, Daniel and Gerzen, Nikolai}}, booktitle = {{Digitalisierung im Bauwesen - Ausbildungsinhalte nordrhein-westfälischer Hochschulen}}, pages = {{84--85}}, title = {{{Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik}}}, year = {{2021}}, } @inbook{12616, author = {{Materna, Daniel and Gerzen, Nikolai}}, booktitle = {{Digitalisierung im Bauwesen - Forschungsinhalte nordrhein-westfälischer Hochschule}}, pages = {{73--74}}, title = {{{Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik}}}, year = {{2021}}, } @article{2339, abstract = {{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.}}, author = {{Materna, Daniel}}, journal = {{Proceedings in Applied Mathematics Mechanics}}, number = {{1}}, publisher = {{Wiley Online Library}}, title = {{{Global and goal-oriented reanalysis in nonlinear structural mechanics}}}, doi = {{10.1002/pamm.201800344}}, volume = {{18}}, year = {{2018}}, } @inproceedings{2927, author = {{Materna, Daniel}}, location = {{München}}, title = {{{Global and goal-oriented reanalysis in nonlinear structural mechanics}}}, year = {{2018}}, } @inbook{2282, author = {{Barthold, Franz-Joseph and Gerzen, Nikolai and Kijanski, Wojciech and Materna, Daniel}}, booktitle = {{Mathematical Modeling and Optimization of Complex Structures}}, editor = {{Neittaanmäki, Pekka and Repin, Sergey and Tuovinen, Tero}}, isbn = {{978-3-319-23563-9}}, pages = {{229--257}}, publisher = {{Springer-Verlag}}, title = {{{Efficient Variational Design Sensitivity Analysis}}}, year = {{2016}}, } @article{2309, author = {{Materna, Daniel}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{223--224}}, title = {{{Efficient nonlinear reanalysis for structural modifications}}}, doi = {{10.1002/pamm.201610100}}, volume = {{16}}, year = {{2016}}, } @article{2337, author = {{Materna, Daniel and Kalpakides, V. K.}}, journal = {{Computational Mechanics}}, number = {{1}}, pages = {{1--18}}, title = {{{Nonlinear reanalysis for structural modifications based on residual increment approximations}}}, doi = {{10.1007/s00466-015-1209-3}}, volume = {{57}}, year = {{2016}}, } @article{2338, abstract = {{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.}}, author = {{Materna, Daniel}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{223--224}}, publisher = {{Wiley Online Library}}, title = {{{Efficient nonlinear reanalysis for structural modifications}}}, doi = {{10.1002/pamm.201610100}}, volume = {{16}}, year = {{2016}}, } @inproceedings{2928, author = {{Materna, Daniel}}, location = {{Braunschweig}}, title = {{{Efficient nonlinear reanalysis for structural modifications}}}, year = {{2016}}, } @article{2312, author = {{Barthold, Franz-Joseph and Materna, Daniel}}, issn = {{1097-0207}}, journal = {{International Journal for Numerical Methods in Engineering}}, keywords = {{extended finite element method, structural optimisation, sensitivity analysis}}, number = {{3}}, pages = {{209--234}}, publisher = {{Wiley Online Library}}, title = {{{A modified extended finite element method approach for design sensitivity analysis}}}, doi = {{10.1002/nme.4930}}, volume = {{104}}, year = {{2015}}, } @inproceedings{2954, author = {{Materna, Daniel}}, location = {{Bremen}}, title = {{{Reanalysis for configurational changes}}}, year = {{2015}}, } @inbook{2336, author = {{Materna, Daniel and Kalpakides, V. K.}}, booktitle = {{{International Conference on Engineering and Applied Sciences Optimization}}}, editor = {{Karlaftis, M.G. and Lagaros, N.D. and Papadrakakis, M.}}, pages = {{2391--2406}}, publisher = {{Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece}}, title = {{{OPT-i - International Conference on Engineering and Applied Sciences Optimization}}}, year = {{2014}}, } @inproceedings{2952, author = {{Materna, Daniel and Kalpakides, V. K.}}, location = {{Kos}}, title = {{{Reanalysis for design modifications based on residual increment approximations}}}, year = {{2014}}, } @article{2315, author = {{Gerzen, Nikolai and Barthold, Franz-Joseph and Klinkel, S. and Wagner, W. and Materna, Daniel}}, journal = {{International Journal for Numerical Methods in Engineering}}, number = {{1}}, pages = {{29--42}}, title = {{{Variational sensitivity analysis of a non-linear solid shell element}}}, doi = {{10.1002/nme.4545}}, volume = {{96}}, year = {{2013}}, } @inbook{2335, author = {{Materna, Daniel and Kalpakides, V. K.}}, booktitle = {{Congress Proceedings - 10th HSTAM International Congress on Mechanics}}, editor = {{E. Beskos, D. and E. Stavroulakis, G.}}, isbn = {{124-7485-789679-567-3}}, publisher = {{Technical University of Crete}}, title = {{{Variational design sensitivity analysis of dual Problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations}}}, year = {{2013}}, } @inproceedings{2951, author = {{Materna, Daniel and Kalpakides, V. K.}}, location = {{Chania}}, title = {{{Variational design sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations}}}, year = {{2013}}, } @inproceedings{2953, author = {{Materna, Daniel}}, location = {{Münster}}, title = {{{Basics on Inverse Problems and Structural Optimisation}}}, year = {{2013}}, } @article{2313, author = {{Barthold, Franz-Joseph and Materna, Daniel}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, pages = {{693--694}}, title = {{{Shape sensitivity analysis in the extended finite element method}}}, doi = {{10.1002/pamm.201210335}}, volume = {{12}}, year = {{2012}}, } @article{2316, author = {{Gerzen, Nikolai and Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Computational Mechanics}}, number = {{3}}, pages = {{379--396}}, title = {{{The inner structure of sensitivities in nodal based shape optimisation}}}, volume = {{49}}, year = {{2012}}, } @article{2324, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, pages = {{627--628}}, title = {{{Improvement of classical first-order adjoint sensitivity relations}}}, doi = {{10.1002/pamm.201210302}}, volume = {{12}}, year = {{2012}}, } @inproceedings{2929, author = {{Barthold, Franz-Joseph and Materna, Daniel}}, location = {{Darmstadt}}, title = {{{Shape sensitivity analysis in the extended finite element method}}}, year = {{2012}}, } @inproceedings{2930, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Darmstadt}}, title = {{{Improvement of classical first-order adjoint sensitivity relations}}}, year = {{2012}}, } @inproceedings{2949, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Graz}}, title = {{{A Modified Extended Finite Element Approach - Structural and Sensitivity Analysis}}}, year = {{2012}}, } @article{2325, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{799--800}}, title = {{{Variational design sensitivity analysis of dual problems with applications to error analysis}}}, doi = {{10.1002/pamm.201110388}}, volume = {{11}}, year = {{2011}}, } @inproceedings{2931, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Graz}}, title = {{{Variational design sensitivity analysis of dual problems with applications to error analysis}}}, year = {{2011}}, } @inproceedings{2948, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Erlangen}}, title = {{{Sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis}}}, year = {{2011}}, } @phdthesis{2317, author = {{Materna, Daniel}}, isbn = {{978-3-8322-8811-2}}, pages = {{234}}, publisher = {{Shaker Verlag}}, title = {{{Structural and Sensitivity Analysis for the Primal and Dual Problems in the Physical and Material Spaces}}}, year = {{2010}}, } @inbook{2320, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, booktitle = {{Computational Optimization: New Research Developments}}, editor = {{F. Linton, Richard and B. Carroll, Thomas}}, pages = {{397--444}}, publisher = {{Nova Science Publishers}}, title = {{{Theoretical aspects and applications of variational sensitivity analysis in the physical and material space}}}, year = {{2010}}, } @article{2326, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{583--584}}, title = {{{Error analysis and improvement of first-order design sensitivity relations}}}, doi = {{10.1002/pamm.201010284}}, volume = {{10}}, year = {{2010}}, } @inproceedings{2932, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Karlsruhe}}, title = {{{Error analysis and improvement of first-order design sensitivity relations}}}, year = {{2010}}, } @inproceedings{2946, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Paris}}, title = {{{Improvement of first-order sensitivity relations based on an exact formulation for the change in the state due to design perturbations}}}, year = {{2010}}, } @inproceedings{2947, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Lisbon}}, title = {{{An exact representation of variational design sensitivity relations and improvement of classical frst-order formulations}}}, year = {{2010}}, } @inbook{2322, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, booktitle = {{IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics}}, editor = {{Steinmann, P.}}, pages = {{95--105}}, publisher = {{Springer-Verlag}}, title = {{{A variational framework for dual solutions in the physical and material space}}}, doi = {{10.1007/978-90-481-3447-2_9}}, volume = {{17}}, year = {{2009}}, } @article{2327, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Computer Methods in Applied Mecanics and Engineering}}, number = {{41-44}}, pages = {{3335--3351}}, title = {{{Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces}}}, doi = {{10.1016/j.cma.2009.06.015}}, volume = {{198}}, year = {{2009}}, } @article{2328, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Zeitschrift für Angewandte Mathematik und Mechanik}}, number = {{8}}, pages = {{666--676}}, title = {{{Configurational variations for the primal and dual problem in elasticity}}}, doi = {{10.1002/zamm.200800144}}, volume = {{89}}, year = {{2009}}, } @inproceedings{2943, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Trento}}, title = {{{Configurational variations for the primal and the dual problem}}}, year = {{2009}}, } @inproceedings{2944, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Lisbon}}, title = {{{Configurational variations for the primal and the dual problem in elasticity with applications to goal-oriented r-adaptive mesh optimization}}}, year = {{2009}}, } @inproceedings{2945, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Hannover}}, title = {{{Error analysis and improvement of design sensitivity relations}}}, year = {{2009}}, } @article{2329, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{10307--10308}}, title = {{{Goal-oriented r-adaptivity based on the evaluation of the physical and material residual}}}, doi = {{10.1002/pamm.200810307}}, volume = {{8}}, year = {{2008}}, } @article{2330, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Computational Mechanics}}, number = {{5}}, pages = {{661--681}}, title = {{{On variational sensitivity analysis and configurational mechanics}}}, doi = {{10.1007/s00466-007-0223-5}}, volume = {{41}}, year = {{2008}}, } @inproceedings{2933, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Bremen}}, title = {{{Goal-oriented r-adaptivity based on the evaluation of the physical and material residual}}}, year = {{2008}}, } @inproceedings{2941, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Venice}}, title = {{{On r-adaptive mesh optimization for local quantities of interest based on the material residual}}}, year = {{2008}}, } @inproceedings{2942, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Erlangen}}, title = {{{A variational framework for dual solutions in the physical and material space}}}, year = {{2008}}, } @article{2303, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{International Journal of Fracture}}, number = {{1-4}}, pages = {{133--155}}, title = {{{Variational design sensitivity analysis in the context of structural optimization and configurational mechanics}}}, doi = {{10.1007/s10704-007-9142-x}}, volume = {{147}}, year = {{2007}}, } @inproceedings{2314, author = {{Barthold, Franz-Joseph and Materna, Daniel}}, booktitle = {{7th World Congress on Structural and Multidisciplinary Optimization}}, number = {{Paper A0463}}, pages = {{1348--1357}}, title = {{{Remarks on different strategies for variational design sensitivity analysis}}}, year = {{2007}}, } @article{2331, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{1090105--1090106}}, title = {{{Variational sensitivity analysis and changes in the material configuration}}}, doi = {{10.1002/pamm.200700368}}, volume = {{7}}, year = {{2007}}, } @inbook{2332, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, booktitle = {{Defect and Material Mechanics}}, editor = {{Dascalu, Christian and Maugin, Gérard A. and Stolz, Claude}}, isbn = {{978-1-4020-6928-4}}, pages = {{133--155}}, publisher = {{Springer}}, title = {{{Variational design sensitivity analysis in the context of structural optimization and configurational mechanics}}}, year = {{2007}}, } @article{2689, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{to be submitted}}, title = {{{The use of Singular Value Decomposition in Sensitivity Analysis and Mesh Optimization}}}, year = {{2007}}, } @inproceedings{2937, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Aussois}}, title = {{{Variational design sensitivity analysis in the context of structural optimization and configurational mechanics}}}, year = {{2007}}, } @inproceedings{2938, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Zurich}}, title = {{{On variational sensitivity analysis and changes in the material configuration}}}, year = {{2007}}, } @inproceedings{2939, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{San Francisco}}, title = {{{Mesh optimization techniques based on variational design sensitivity analysis}}}, year = {{2007}}, } @inproceedings{2940, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Munich}}, title = {{{Aspects of variational settings in the material space}}}, year = {{2007}}, } @inproceedings{2321, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, booktitle = {{Proc. of the 6th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, St Edmund Hall, Oxford, UK}}, editor = {{Sienz, Johann and M. Querin, Osvaldo and V. Toropov, Vassili and D. Gosling, Peter}}, isbn = {{9780853162513}}, pages = {{173--181}}, publisher = {{University of Leeds, UK}}, title = {{{Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization}}}, year = {{2006}}, } @article{2334, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, journal = {{Proceedings in Applied Mathematics and Mechanics}}, number = {{1}}, pages = {{245--246}}, title = {{{Coherence of Structural Optimization and Configurational Mechanics}}}, doi = {{10.1002/pamm.200610103}}, volume = {{6}}, year = {{2006}}, } @inproceedings{2934, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Berlin}}, title = {{{Coherence of Structural Optimization and Configurational Mechanics}}}, year = {{2006}}, } @inproceedings{2936, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Oxford}}, title = {{{Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization}}}, year = {{2006}}, } @inproceedings{2935, author = {{Materna, Daniel and Barthold, Franz-Joseph}}, location = {{Bochum}}, title = {{{Interaction of Structural Optimization and Configurational Mechanics}}}, year = {{2005}}, }