Publikationen und Vorträge
Publikationen
- Materna, D.
Approximate calculation of changes in local and global quantities due to design modifications.
Proc. of the European Congress on Computational Methods in Applied Sciences and Engineering, 2024. - Materna, D.
Theoretical aspects and applications of goal-oriented reanalysis methods.
Proc. Appl. Math. Mech., 23:4, e202300164, 2023. - Materna, D.
Reanalysis for local quantities of interest.
Proc. Appl. Math. Mech., 21:1, e202100079, 2021. - Materna, D.
Computation of changes in local quantities of interest due to design modifications.
Proc. of the 14th World Congress on Computational Mechanics (WCCM) and ECCOMAS Congress, 2021. - Materna, D.
Prediction of changes in local quantities of interest due to structural modifications.
Proc. Appl. Math. Mech., 20:1, e202000201, 2021. - Materna, D.
Global and goal-oriented reanalysis in nonlinear structural mechanics.
Proc. Appl. Math. Mech., 18: e201800344, 2018. - Materna, D.
Efficient nonlinear reanalysis for structural modifications.
Proc. Appl. Math. Mech., 16, 223-224, 2016. - Materna, D., and Kalpakides, V. K.
Nonlinear reanalysis for structural modifications based on residual increment approximations.
Computational Mechanics, 57(1) 1-18, 2016. - Barthold, F.-J., Gerzen, N., Kijanski, W., and Materna, D.
Efficient variational design sensitivity analysis.
In Book: Mathematical Modeling and Optimization of Complex Structures, Springer, pages 229-257, 2016. - Barthold, F.-J., and Materna, D.
A modified xfem approach for design sensitivity analysis.
International Journal for Numerical Methods in Engineering, 104: 209-234, 2015. - Materna, D., and Kalpakides, V. K.
Reanalysis for design modifications based on residual increment approximations.
In Congress Proceedings: OPT-i - International Conference on Engineering and Applied Sciences Optimization, pages 2391–2406, 2014. ISBN 978-960-99994-6-5. - Gerzen, N., Barthold, F. J., Klinkel, S., Wagner, W., and Materna, D.
Variational sensitivity analysis of a non-linear solid shell element.
International Journal for Numerical Methods in Engineering, 96(1):29–42, 2013. - Materna, D., and Kalpakides, V. K.
Variational design sensitivity analysis of dual Problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations.
In Congress Proceedings: 10th HSTAM International Congress on Mechanics, Technical University of Crete, 2013. ISBN 124-7485-789679-567-3. - Barthold, F.-J., and Materna, D.
Shape sensitivity analysis in the extended finite element method.
Proc. Appl. Math. Mech., 12:693–694, 2012. - Materna, D., and Barthold, F.-J.
Improvement of classical first-order adjoint sensitivity relations.
Proc. Appl. Math. Mech., 12:627–628, 2012. - Gerzen, N., Materna, D., and Barthold, F.-J.
The inner structure of sensitivities in nodal based shape optimisation.
Computational Mechanics, 49(3):379–396, 2012. - Materna, D., and Barthold, F.-J.
Variational design sensitivity analysis of dual problems with applications to error analysis.
Proc. Appl. Math. Mech., 11(1):799–800, 2011. - Materna, D., and Barthold, F.-J.
Theoretical aspects and applications of variational sensitivity analysis in the physical and material space.
In Linton, R. F. & Carroll, T. B. (ed.) Computational Optimization: New Research Developments, pp. 397-444, Nova Science Publishers, 2010. - Materna, D., and Barthold, F.-J.
Error analysis and improvement of first-order design sensitivity relations. Proc. Appl. Math. Mech., 10(1):583–584, 2010. - Materna, D.
Structural and Sensitivity Analysis for the Primal and Dual Problems in the Physical and Material Spaces.
PhD Thesis, Technische Universität Dortmund, 2009.
Published by Shaker Verlag, Aachen, 2010, ISBN: 978-3-8322-8811-2. - Materna, D., and Barthold, F.-J.
Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces.
Comput. Methods Appl. Mech. Engrg., 198(41-44):3335–3351, 2009. - Materna, D., and Barthold, F.-J.
A variational framework for dual solutions in the physical and material space.
In: IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, volume 17 of IUTAM Bookseries, pages 95–105. Springer-Verlag, 2009. - Materna, D., and Barthold, F.-J.
Configurational variations for the primal and dual problem in elasticity.
Z. Angew. Math. Mech., 89(8):666–676, 2009. - Materna, D., and Barthold, F.-J.
Goal-oriented r-adaptivity based on the evaluation of the physical and material residual.
Proc. Appl. Math. Mech., 8(1):10307–10308, 2008. - Materna, D., and Barthold, F.-J.
Variational design sensitivity analysis in the context of structural optimization and configurational mechanics.
In Defect and Material Mechanics, Proceedings of the International Symposium on Defect and Material
Mechanics (ISDMM), pages 133–155. Springer-Verlag, 2008. - Materna, D., and Barthold, F.-J.
On variational sensitivity analysis and configurational mechanics.
Computational Mechanics, 41(5):661–681, 2008. - Barthold, F.-J., and Materna, D.
Remarks on different strategies for variational design sensitivity analysis.
In 7th World Congress on Structural and Multidisciplinary Optimization, number Paper A0463, pages 1348–1357, 2007. - Materna, D., and Barthold, F.-J.
Variational sensitivity analysis and changes in the material configuration. Proc. Appl. Math. Mech., 7(1):1090105–1090106, 2007. - Materna, D., and Barthold, F.-J.
Variational design sensitivity analysis in the context of structural optimization and configurational mechanics.
Int. J. Fract., 147(1-4):133–155, 2007. - Materna, D., and Barthold, F.-J.
Relations between structural optimization and configurational mechanics with applications to mesh optimization.
In Sienz, J., Querin, O. M., Toropov, V. V., and Gosling, P. D., Eds., Proc. of the 6th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, St Edmund Hall, Oxford, UK, pages 173–181. University of Leeds, UK, 2006. - Materna, D., and Barthold, F.-J.
Coherence of structural optimization and configurational mechanics.
Proc. Appl. Math. Mech., 6(1):245–246, 2006.
Vorträge
- D. Materna:
Approximate calculation of changes in local and global quantities due to design modifications.
9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), June 3-7, 2024, Lisboa, Portugal. - D. Materna:
Theoretical aspects and applications of goal-oriented reanalysis methods.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Dresden, Germany, Mai 30 - June 2, 2023. - D. Materna:
Reanalysis for local quantities of interest.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Kassel, Germany, March 15-19, 2021. - D. Materna:
Computation of changes in local quantities of interest due to design modifications.
14th World Congress on Computational Mechanics (WCCM) & ECCOMAS Congress 2020, Virtual Congress, January 11-15, 2021. - D. Materna:
Global and goal-oriented reanalysis in nonlinear structural mechanics.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Munich, Germany, March 19-23, 2018. - D. Materna:
Efficient nonlinear reanalysis for structural modifications.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Braunschweig, Germany, March 07-11, 2016. - D. Materna:
Reanalysis for configurational changes.
ISDMM (International Symposium on Defect and Material Mechanics), Bremen, Germany, September 14-18, 2015. - D. Materna, V. K. Kalpakides:
Reanalysis for design modifications based on residual increment approximations.
In International Conference on Engineering and Applied Sciences Optimization, Kos, Greece, June 4-6, 2014. - D. Materna:
Basics on Inverse Problems and Structural Optimisation.
In Summer School: Evolutionary Solid Bodies - Growth and Remodelling of Biological Tissues, Münster, Germany, September 8-14, 2013. - D. Materna, V. K. Kalpakides:
Variational design sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations.
In 10th HSTAM International Congress on Mechanics, Chania, Greece, Mai 25-27, 2013. - D. Materna, F.-J. Barthold:
A Modified Extended Finite Element Approach - Structural and Sensitivity Analysis.
In 8th European Solid Mechanics Conference (ESMC), Graz, Austria, July 9-13, 2012. - F.-J. Barthold, D. Materna:
Shape sensitivity analysis in the extended finite element method.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Darmstadt, Germany, March 26-30, 2012. - D. Materna, F.-J. Barthold:
Improvement of classical first-order adjoint sensitivity relations.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Darmstadt, Germany, March 26-30, 2012. - D. Materna, F.-J. Barthold:
Sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis.
EUROMECH 522 - Recent Trends in Optimisation for Computational Solid Mechanics, Erlangen, Germany, October 10-12, 2011. - D. Materna, F.-J. Barthold:
Variational design sensitivity analysis of dual problems with applications to error analysis.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Graz, Austria, April 18-21, 2011. - D. Materna, F.-J. Barthold:
An exact representation of variational design sensitivity relations and improvement of classical frst-order formulations.
2nd International Conference on Engineering Optimization (EngOpt2010), Lisbon, Portugal, September 6-9, 2010. - D. Materna, F.-J. Barthold:
Improvement of first-order sensitivity relations based on an exact formulation for the change in the state due to design perturbations.
IV European Conference on Computational Mechanics (ECCM2010), Paris, France, May 16-21, 2010. - D. Materna, F.-J. Barthold:
Error analysis and improvement of first-order design sensitivity relations.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Karlsruhe, March 22-26, 2010. - D. Materna, F.-J. Barthold:
Error analysis and improvement of design sensitivity relations.
GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Hannover, September 21-23, 2009. - D. Materna, F.-J. Barthold:
Configurational variations for the primal and the dual problem in elasticity with applications to goal-oriented r-adaptive mesh optimization.
7th EUROMECH Solid Mechanics Conference (ESMC2009), Lisbon, Portugal, September 7-11, 2009. - D. Materna, F.-J. Barthold:
Configurational variations for the primal and the dual problem.
ISDMM (International Symposium on Defect and Material Mechanics), University of Trento, Italy, July 6-9, 2009. - D. Materna, F.-J. Barthold:
A variational framework for dual solutions in the physical and material space.
IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, Erlangen, Germany, October 20-24, 2008. - D. Materna, F.-J. Barthold:
On r-adaptive mesh optimization for local quantities of interest based on the material residual.
WCCM8 / ECCOMAS 2008 Conference, Venice, Italy, June 30 - July 4, 2008. - D. Materna, F.-J. Barthold:
Goal-oriented r-adaptivity based on the evaluation of the physical and material residual.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Bremen, March 31 - April 4, 2008. - D. Materna, F.-J. Barthold:
Aspects of variational settings in the material space.
GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Munich, October 10-12, 2007. - D. Materna, F.-J. Barthold:
Mesh optimization techniques based on variational design sensitivity analysis.
9th USNCCM (US National Congress on Computational Mechanics), San Francisco CA, USA, July 22-26, 2007. - D. Materna, F.-J. Barthold:
On variational sensitivity analysis and changes in the material configuration.
ICIAM (International Congress on Industrial and Applied Mathematics), Zurich, Switzerland, July 16-20, 2007. - D. Materna, F.-J. Barthold:
Variational design sensitivity analysis in the context of structural optimization and configurational mechanics.
ISDMM (International Symposium on Defect and Material Mechanics), Aussois, France, March 26-29, 2007. - D. Materna, F.-J. Barthold:
Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization.
ASMO-UK (Association for Structural and Multidisciplinary Optimization in the UK), Oxford, UK, July 3-4, 2006. - D. Materna, F.-J. Barthold:
Coherence of Structural Optimization and Configurational Mechanics.
GAMM Annual Scientific Conference (International Association of Applied Mathematics and Mechanics), Berlin, March 27-31, 2006. - D. Materna, F.-J. Barthold:
Interaction of Structural Optimization and Configurational Mechanics.
GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Bochum, October 5-7, 2005.