Approximate calculation of changes in local and global quantities due to design modifications.
D. Materna, Approximate Calculation of Changes in Local and Global Quantities Due to Design Modifications., Scipedia, S.L., [Barcelona, Spain] , 2024.

Theoretical aspects and applications of goal-oriented reanalysis methods
D. Materna, Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods, 2023.

Gradient-based determination of principal design inû02uences on composite structures
J. Liedmann, F.-J. Barthold, N. Gerzen, Gradient-Based Determination of Principal Design Inû02uences on Composite Structures, 2023.

Theoretical aspects and applications of goal-oriented reanalysis methods
D. Materna, Proceedings in Applied Mathematics and Mechanicsf: PAMM  23 (2023) e202300164.

Geometric dimensionality control of structural components in topology optimization
N. Gerzen, T. Mertins, C.B.W. Pedersen, Structural and Multidisciplinary Optimization 65 (2022).

Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik
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.

Bauingenieurwesen: Digitales Bauen, Mathematik und Bauinformatik
D. Materna, N. Gerzen, in: Ministerium für Heimat, Kommunales, Bau und Gleichstellung des Landes Nordrhein-Westfalen (Ed.), Digitalisierung Im Bauwesen - Forschungsinhalte Nordrhein-Westfälischer Hochschule, Düsseldorf, 2021, pp. 73–74.

Prediction of changes in local quantities of interest due to structural modifications
D. Materna, PAMM (2021).

Computation of changes in local quantities of interest due to design modifications
D. Materna, in: Proc. of the 14th World Congress on Computational Mechanics (WCCM) and ECCOMAS Congress, 2021.

Computation of changes in local quantities of interest due to design modifications
D. Materna, in: 2021.

Reanalysis for local quantities of interest
D. Materna, in: 2021.

Reanalysis for local quantities of interest
D. Materna, Proceedings in Applied Mathematics and Mechanicsf: PAMM  21 (2021).

Global and goal-oriented reanalysis in nonlinear structural mechanics
D. Materna, Proceedings in Applied Mathematics Mechanics 18 (2018).

Global and goal-oriented reanalysis in nonlinear structural mechanics
D. Materna, in: 2018.

Efficient Variational Design Sensitivity Analysis
F.-J. Barthold, N. Gerzen, W. Kijanski, D. Materna, in: P. Neittaanmäki, S. Repin, T. Tuovinen (Eds.), Mathematical Modeling and Optimization of Complex Structures, Springer-Verlag, 2016, pp. 229–257.

Efficient nonlinear reanalysis for structural modifications
D. Materna, Proceedings in Applied Mathematics and Mechanics 16 (2016) 223–224.

Nonlinear reanalysis for structural modifications based on residual increment approximations
D. Materna, V.K. Kalpakides, Computational Mechanics 57 (2016) 1–18.

Efficient nonlinear reanalysis for structural modifications
D. Materna, Proceedings in Applied Mathematics and Mechanics 16 (2016) 223–224.

Efficient nonlinear reanalysis for structural modifications
D. Materna, in: 2016.

A modified extended finite element method approach for design sensitivity analysis
F.-J. Barthold, D. Materna, International Journal for Numerical Methods in Engineering 104 (2015) 209–234.

Reanalysis for configurational changes
D. Materna, in: 2015.

OPT-i - International Conference on Engineering and Applied Sciences Optimization
D. Materna, V.K. Kalpakides, in: M.G. Karlaftis, N.D. Lagaros, M. Papadrakakis (Eds.), International Conference on Engineering and Applied Sciences Optimization, Institute of Structural Analysis and Antiseismic Research, University of Athens, Greece, 2014, pp. 2391–2406.

Reanalysis for design modifications based on residual increment approximations
D. Materna, V.K. Kalpakides, in: 2014.

Variational sensitivity analysis of a non-linear solid shell element
N. Gerzen, F.-J. Barthold, S. Klinkel, W. Wagner, D. Materna, International Journal for Numerical Methods in Engineering 96 (2013) 29–42.

Variational design sensitivity analysis of dual Problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations
D. Materna, V.K. Kalpakides, in: D. E. Beskos, G. E. Stavroulakis, HSTAM International Congress on Mechanics (Eds.), Congress Proceedings - 10th HSTAM International Congress on Mechanics, Technical University of Crete, 2013.

Variational design sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations
D. Materna, V.K. Kalpakides, in: 2013.

Basics on Inverse Problems and Structural Optimisation
D. Materna, in: 2013.

Shape sensitivity analysis in the extended finite element method
F.-J. Barthold, D. Materna, Proceedings in Applied Mathematics and Mechanics 12 (2012) 693–694.

The inner structure of sensitivities in nodal based shape optimisation
N. Gerzen, D. Materna, F.-J. Barthold, Computational Mechanics 49 (2012) 379–396.

Improvement of classical first-order adjoint sensitivity relations
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 12 (2012) 627–628.

Shape sensitivity analysis in the extended finite element method
F.-J. Barthold, D. Materna, in: 2012.

Improvement of classical first-order adjoint sensitivity relations
D. Materna, F.-J. Barthold, in: 2012.

A Modified Extended Finite Element Approach - Structural and Sensitivity Analysis
D. Materna, F.-J. Barthold, in: 2012.

Variational design sensitivity analysis of dual problems with applications to error analysis
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 11 (2011) 799–800.

Variational design sensitivity analysis of dual problems with applications to error analysis
D. Materna, F.-J. Barthold, in: 2011.

Sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis
D. Materna, F.-J. Barthold, in: 2011.

Structural and Sensitivity Analysis for the Primal and Dual Problems in the Physical and Material Spaces
D. Materna, Structural and Sensitivity Analysis for the Primal and Dual Problems in the Physical and Material Spaces, Shaker Verlag, Aachen, 2010.

Theoretical aspects and applications of variational sensitivity analysis in the physical and material space
D. Materna, F.-J. Barthold, in: R. F. Linton, T. B. Carroll (Eds.), Computational Optimization: New Research Developments, Nova Science Publishers, 2010, pp. 397–444.

Error analysis and improvement of first-order design sensitivity relations
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 10 (2010) 583–584.

Error analysis and improvement of first-order design sensitivity relations
D. Materna, F.-J. Barthold, in: 2010.

Improvement of first-order sensitivity relations based on an exact formulation for the change in the state due to design perturbations
D. Materna, F.-J. Barthold, in: 2010.

An exact representation of variational design sensitivity relations and improvement of classical frst-order formulations
D. Materna, F.-J. Barthold, in: 2010.

A variational framework for dual solutions in the physical and material space
D. Materna, F.-J. Barthold, in: P. Steinmann (Ed.), IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, Springer-Verlag, 2009, pp. 95–105.

Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces
D. Materna, F.-J. Barthold, Computer Methods in Applied Mecanics and Engineering 198 (2009) 3335–3351.

Configurational variations for the primal and dual problem in elasticity
D. Materna, F.-J. Barthold, Zeitschrift Für Angewandte Mathematik Und Mechanik 89 (2009) 666–676.

Configurational variations for the primal and the dual problem
D. Materna, F.-J. Barthold, in: 2009.

Configurational variations for the primal and the dual problem in elasticity with applications to goal-oriented r-adaptive mesh optimization
D. Materna, F.-J. Barthold, in: 2009.

Error analysis and improvement of design sensitivity relations
D. Materna, F.-J. Barthold, in: 2009.

Goal-oriented r-adaptivity based on the evaluation of the physical and material residual
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 8 (2008) 10307–10308.

On variational sensitivity analysis and configurational mechanics
D. Materna, F.-J. Barthold, Computational Mechanics 41 (2008) 661–681.

Goal-oriented r-adaptivity based on the evaluation of the physical and material residual
D. Materna, F.-J. Barthold, in: 2008.

On r-adaptive mesh optimization for local quantities of interest based on the material residual
D. Materna, F.-J. Barthold, in: 2008.

A variational framework for dual solutions in the physical and material space
D. Materna, F.-J. Barthold, in: 2008.

Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
D. Materna, F.-J. Barthold, International Journal of Fracture 147 (2007) 133–155.

Remarks on different strategies for variational design sensitivity analysis
F.-J. Barthold, D. Materna, in: 7th World Congress on Structural and Multidisciplinary Optimization, 2007, pp. 1348–1357.

Variational sensitivity analysis and changes in the material configuration
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 7 (2007) 1090105–1090106.

Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
D. Materna, F.-J. Barthold, in: C. Dascalu, G.A. Maugin, C. Stolz, Proceedings of the International Symposium onDefect and Material Mechanics (ISDMM) (Eds.), Defect and Material Mechanics, Springer, 2007, pp. 133–155.

The use of Singular Value Decomposition in Sensitivity Analysis and Mesh Optimization
D. Materna, F.-J. Barthold, To Be Submitted (2007).

Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
D. Materna, F.-J. Barthold, in: 2007.

On variational sensitivity analysis and changes in the material configuration
D. Materna, F.-J. Barthold, in: 2007.

Mesh optimization techniques based on variational design sensitivity analysis
D. Materna, F.-J. Barthold, in: 2007.

Aspects of variational settings in the material space
D. Materna, F.-J. Barthold, in: 2007.

Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization
D. Materna, F.-J. Barthold, in: J. Sienz, O. M. Querin, V. V. Toropov, P. D. Gosling (Eds.), Proc. of the 6th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, St Edmund Hall, Oxford, UK, University of Leeds, UK, 2006, pp. 173–181.

Coherence of Structural Optimization and Configurational Mechanics
D. Materna, F.-J. Barthold, Proceedings in Applied Mathematics and Mechanics 6 (2006) 245–246.

Coherence of Structural Optimization and Configurational Mechanics
D. Materna, F.-J. Barthold, in: 2006.

Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization
D. Materna, F.-J. Barthold, in: 2006.

Interaction of Structural Optimization and Configurational Mechanics
D. Materna, F.-J. Barthold, in: 2005.