A

Ankit, A. ; Song, C. ; Eisenträger, S. ; Zhang, S. ; Hamed, E. (2022)
Dynamic Non-Local Damage Analysis Using an Octree Pattern-Based Massively Parallel Explicit Solver.
In: Computer Methods in Applied Mechanics and Engineering, 400
doi: 10.1016/j.cma.2022.115598
Artikel, Bibliographie

B

Badrkhani, Vahid ; Hiemstra, René R. ; Mika, Michał ; Schillinger, Dominik (2023)
A matrix‐free macro‐element variant of the hybridized discontinuous Galerkin method.
In: International Journal for Numerical Methods in Engineering, 124 (20)
doi: 10.1002/nme.7320
Artikel, Bibliographie

D

Duczek, S. ; Saputra, A. A. ; Gravenkamp, H. (2020)
High Order Transition Elements: The xNy-Element Concept—Part I: Statics.
In: Computer Methods in Applied Mechanics and Engineering, 362
doi: 10.1016/j.cma.2020.112833
Artikel, Bibliographie

Duvigneau, F. ; Duczek, S. (2019)
High-Order Shape Functions for Interior Acoustics.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 19 (1)
doi: 10.1002/pamm.201900010
Artikel, Bibliographie

Duczek, S. ; Gravenkamp, H. (2019)
Mass Lumping Techniques in the Spectral Element Method: On the Equivalence of the Row-Sum, Nodal Quadrature, and Diagonal Scaling Methods.
In: Computer Methods in Applied Mechanics and Engineering, 353
doi: 10.1016/j.cma.2019.05.016
Artikel, Bibliographie

Duczek, S. ; Gravenkamp, H. (2019)
Critical Assessment of Different Mass Lumping Schemes for Higher Order Serendipity Finite Elements.
In: Computer Methods in Applied Mechanics and Engineering, 350
doi: 10.1016/j.cma.2019.03.028
Artikel, Bibliographie

Duczek, S. ; Gravenkamp, H.. (2018)
On the Construction of Diagonal Mass Matrices for Serendipity Elements.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 18 (1)
doi: 10.1002/pamm.201800188
Artikel, Bibliographie

Duczek, S. ; Duvigneau, F. ; Würkner, M. ; Gabbert, U. (2017)
The Finite Cell Method: Polygonal and Tetrahedral Cells.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 17 (1)
doi: 10.1002/pamm.201710117
Artikel, Bibliographie

Duczek, S. ; Duvigneau, F. ; Gabbert, U. (2016)
The Finite Cell Method for Tetrahedral Meshes.
In: Finite Elements in Analysis and Design, 121
doi: 10.1016/j.finel.2016.07.004
Artikel, Bibliographie

Duczek, S. ; Gabbert, U. (2016)
The Finite Cell Method for Polygonal Meshes: Poly-FCM.
In: Computational Mechanics, 58 (4)
doi: 10.1007/s00466-016-1307-x
Artikel, Bibliographie

Duczek, S. ; Gabbert, U. (2015)
Efficient Integration Method for Fictitious Domain Approaches.
In: Computational Mechanics, 56 (4)
doi: 10.1007/s00466-015-1197-3
Artikel, Bibliographie

Duczek, S. ; Liefold, S. ; Gabbert, U. (2015)
The Finite and Spectral Cell Methods for Smart Structure Applications: Transient Analysis.
In: Acta Mechanica, 226 (3)
doi: 10.1007/s00707-014-1227-9
Artikel, Bibliographie

Duczek, S. ; Berger, H. ; Gabbert, U. (2015)
The Finite Pore Method: A New Approach to Evaluate Gas Pores in Cast Parts by Combining Computed Tomography and the Finite Cell Method.
In: International Journal of Cast Metals Research, 28 (4)
doi: 10.1179/1743133615y.0000000003
Artikel, Bibliographie

Duczek, S. ; Berger, H. ; Ambos, E. ; Gabbert, U. (2015)
Eine neue Methode zur Berücksichtigung des Einflusses der Porosität in Al-Druckgussteilen auf die Festigkeit — Ein Beitrag zum Leichtbau.
In: Giesserei-Rundschau, 62 (9-10)
Artikel, Bibliographie

Duczek, S. ; Joulaian, M. ; Düster, A. ; Gabbert, U. (2014)
Numerical Analysis of Lamb Waves Using the Finite and Spectral Cell Methods.
In: International Journal for Numerical Methods in Engineering, 99 (1)
doi: 10.1002/nme.4663
Artikel, Bibliographie

Duczek, S. ; Gabbert, U. (2013)
Anisotropic Hierarchic Finite Elements for the Simulation of Piezoelectric Smart Structures.
In: Engineering Computations, 30 (5)
doi: 10.1108/ec-08-2013-0005
Artikel, Bibliographie

Duczek, S. ; Willberg, C. ; Schmicker, D. ; Gabbert, U. (2012)
Development, Validation and Comparison of Higher Order Finite Element Approaches to Compute the Propagation of Lamb Waves Efficiently.
In: Key Engineering Materials, 518
doi: 10.4028/www.scientific.net/kem.518.95
Artikel, Bibliographie

Duczek, S. ; Willberg, C. ; Gabbert, U. (2011)
Increasing the Scanning Range of Lamb Wave Based SHM Systems by Optimizing the Sensor Design and Excitation Frequency.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 11 (1)
doi: 10.1002/pamm.201110302
Artikel, Bibliographie

E

Eisenträger, Sascha ; Kapuria, Santosh ; Jain, Mayank ; Zhang, Junqi (2024)
On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements.
In: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023, 103 (9)
doi: 10.26083/tuprints-00024665
Artikel, Zweitveröffentlichung, Verlagsversion

Ebrahem, Adnan ; Hiemstra, René R. ; Stoter, Stein K. F. ; Schillinger, Dominik (2023)
Modeling of Growth using an Immersed Finite Element Method.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 2023, 22 (1)
doi: 10.26083/tuprints-00023689
Artikel, Zweitveröffentlichung, Verlagsversion

Eisenträger, S. ; Kiendl, J. ; Duy, R. ; Vetyukov, Y. (2022)
Stability Analysis of Plates Using Cut Bogner-Fox-Schmit Elements.
In: Computers & Structures, 270
doi: 10.1016/j.compstruc.2022.106854
Artikel, Bibliographie

Eisenträger, S. ; Eisenträger, J. ; Gravenkamp, H. ; Provatidis, C. G. (2021)
High Order Transition Elements: The xNy-Element Concept—Part II: Dynamics.
In: Computer Methods in Applied Mechanics and Engineering, 387
doi: 10.1016/j.cma.2021.114145
Artikel, Bibliographie

Eisenträger, S. ; Atroshchenko, E. ; Makvandi, R. (2020)
On the condition number of high order finite element methods: Influence of p-refinement and mesh distortion.
In: Computers & Mathematics with Applications, 80 (11)
doi: 10.1016/j.camwa.2020.05.012
Artikel, Bibliographie

Eisenträger, J. ; Zhang, J. ; Song, C. ; Eisenträger, S. (2020)
An SBFEM Approach for Rate-Dependent Inelasticity with Application to Image-Based Analysis.
In: International Journal of Mechanical Sciences, 182
doi: 10.1016/j.ijmecsci.2020.105778
Artikel, Bibliographie

G

Glüge, R. ; Altenbach, H. ; Eisenträger, S. (2021)
Locally-Synchronous Algorithms for the Solution of Analytical Homogenization Problems based on the Fourier Method.
In: Computational Mechanics, 68
doi: 10.1007/s00466-021-01975-w
Artikel, Bibliographie

Gravenkamp, H. ; Saputra, A. A. ; Eisenträger, S. (2020)
Three-Dimensional Image-Based Modeling by Combining SBFEM and Transfinite Element Shape Functions.
In: Computational Mechanics, 66 (4)
doi: 10.1007/s00466-020-01884-4
Artikel, Bibliographie

Gravenkamp, H. ; Saputra, A. A. ; Eisenträger, S. (2020)
Efficient modeling of 3D geometries using octree-meshes combined with SBFEM and transfinite elements.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 20 (1)
doi: 10.1002/pamm.202000226
Artikel, Bibliographie

Gravenkamp, H. ; Saputra, A. A. ; Duczek, S. (2019)
High-Order Shape Functions in the Scaled Boundary Finite Element Method Revisited.
In: Archives of Computational Methods in Engineering, 28 (2)
doi: 10.1007/s11831-019-09385-1
Artikel, Bibliographie

Gravenkamp, H. ; Duczek, S. ; Birk, C. (2017)
Automatic Quadtree-based Modeling Using a Coupled SBFEM/SCM Approach.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 17 (1)
doi: 10.1002/pamm.201710119
Artikel, Bibliographie

Gravenkamp, H. ; Duczek, S. (2017)
Automatic Image-based Analyses Using a Coupled Quadtree-SBFEM/SCM Approach.
In: Computational Mechanics, 60 (4)
doi: 10.1007/s00466-017-1424-1
Artikel, Bibliographie

H

Heinze, C. ; Duczek, S. ; Sinapius, M. ; Wierach, P. (2017)
A Minimal Model-based Approach for the Fast Approximation of Wave Propagation in Complex Structures.
In: Structural Health Monitoring, 16 (5)
doi: 10.1177/1475921717697509
Artikel, Bibliographie

Hosseini, S. M. H. ; Duczek, S. ; Gabbert, U. (2014)
Damage Localization in Plates Using Mode Conversion Characteristics of Ultrasonic Guided Waves.
In: Journal of Nondestructive Evaluation, 33 (1)
doi: 10.1007/s10921-013-0211-y
Artikel, Bibliographie

Hosseini, S. M. H. ; Duczek, S. ; Gabbert, U. (2013)
Non-Reflecting Boundary Condition for Lamb Wave Propagation Problems in Honeycomb and CFRP Plates Using Dashpot Elements.
In: Composites: Part B: Engineering, 54
doi: 10.1016/j.compositesb.2013.04.061
Artikel, Bibliographie

J

Joulaian, M. ; Duczek, S. ; Gabbert, U. ; Düster, A. (2014)
Efficient Simulation of Wave Propagation in Heterogeneous Materials.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 14 (1)
doi: 10.1002/pamm.201410340
Artikel, Bibliographie

Joulaian, M. ; Duczek, S. ; Gabbert, U. ; Düster, A. (2014)
Finite and Spectral Cell Method for Wave Propagation in Heterogeneous Materials.
In: Computational Mechanics, 54 (3)
doi: 10.1007/s00466-014-1019-z
Artikel, Bibliographie

K

Kakhi, E. M. ; Rezaeepazhand, J. ; Duvigneau, F. ; Pahlavan, L. ; Makvandi, R. ; Juhre, D. ; Moavenian, M. ; Eisenträger, S. (2022)
On the Use of High-Order Shape Functions in SAFE for Wave Propagation Analysis.
In: Mathematical and Computational Applications, 27 (4)
doi: 10.3390/mca27040063
Artikel, Bibliographie

M

Makvandi, R. ; Abali, B. E. ; Eisenträger, S. ; Juhre, D. (2021)
A Strain Gradient Enhanced Model for the Phase-Field Approach to Fracture.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 21 (1)
doi: 10.1002/pamm.202100195
Artikel, Bibliographie

Makvandi, Resam ; Abali, Bilen Emek ; Eisenträger, Sascha ; Juhre, Daniel (2020)
Revisiting Mindlin's Theory with regard to a Gradient Extended Phase-Field Model for Fracture.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 20 (1)
doi: 10.1002/pamm.202000104
Artikel, Bibliographie

Makvandi, R. ; Duczek, S. ; Juhre, D. (2019)
A Phase-Field Fracture Model based on Strain Gradient Elasticity.
In: Engineering Fracture Mechanics, 220
doi: 10.1016/j.engfracmech.2019.106648
Artikel, Bibliographie

N

Nguyen, Thi Hoa (2023)
Higher-order accurate and locking-free explicit dynamics in isogeometric structural analysis.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00026401
Dissertation, Erstveröffentlichung, Verlagsversion

P

Petö, M. ; Garhuom, W. ; Duvigneau, F. ; Eisenträger, S. ; Düster, A. ; Juhre, D. (2022)
Octree-Based Integration Scheme with Merged Sub-Cells for the Finite Cell Method: Application to Non-Linear Problems in 3D.
In: Computer Methods in Applied Mechanics and Engineering, 401 (B)
doi: 10.1016/j.cma.2022.115565
Artikel, Bibliographie

Petö, Márton ; Duvigneau, Fabian ; Juhre, Daniel ; Eisenträger, Sascha (2021)
Enhanced Numerical Integration Scheme Based on Image Compression Techniques: Application to Rational Polygonal Interpolants.
In: Archive of Applied Mechanics, 91 (2)
doi: 10.1007/s00419-020-01772-6
Artikel, Bibliographie

Petö, M. ; Duvigneau, F. ; Eisenträger, S. (2020)
Enhanced Numerical Integration Scheme Based on Image Compression Techniques: Application to Fictitious Domain Methods.
In: Advanced Modeling and Simulation in Engineering Sciences, 7 (1)
doi: 10.1186/s40323-020-00157-2
Artikel, Bibliographie

Petö, M. ; Duvigneau, F. ; Juhre, D. ; Eisenträger, S. (2020)
Enhanced Integration Scheme for Unfitted Polygonal Elements.
In: Proceedings in Applied Mathematics and Mechanics PAMM, 20 (1)
doi: 10.1002/pamm.202000230
Artikel, Bibliographie

Q

Qu, Y. ; Zhang, J. ; Eisenträger, S. ; Song, C. (2022)
A Time-Domain Approach for the Simulation of Three-Dimensional Seismic Wave Propagation Using the Scaled Boundary Finite Element Method.
In: Soil Dynamics and Earthquake Engineering, 152
doi: 10.1016/j.soildyn.2021.107011
Artikel, Bibliographie

Qu, Y. ; Chen, D. ; Liu, L. ; Ooi, E. T. ; Eisenträger, S. ; Song, C. (2021)
A Direct Time-Domain Procedure for the Seismic Analysis of Dam-Foundation-Reservoir Systems Using the Scaled Boundary Finite Element Method.
In: Computers & Geotechnics, 138
doi: 10.1016/j.compgeo.2021.104364
Artikel, Bibliographie

S

Song, C. ; Eisenträger, S. ; Zhang, X. (2022)
High-Order Implicit Time Integration Scheme Based on Padé Expansions.
In: Computer Methods in Applied Mechanics and Engineering, 390
doi: 10.1016/j.cma.2021.114436
Artikel, Bibliographie

Saputra, A. A. ; Eisenträger, S. ; Gravenkamp, H. ; Song, C. (2020)
Three-Dimensional Image-Based Numerical Homogenisation Using Octree Meshes.
In: Computers & Structures, 237
doi: 10.1016/j.compstruc.2020.106263
Artikel, Bibliographie

Schmicker, D. ; Duczek, S. ; Liefold, S. ; Gabbert, U. (2014)
Wave Propagation Analysis Using High-Order Finite Element Methods: Spurious Oscillations Excited by Internal Element Eigenfrequencies.
In: Technische Mechanik - European Journal of Engineering Mechanics, 34 (2)
doi: 10.24352/UB.OVGU-2017-053
Artikel, Bibliographie

T

Ten Eikelder, MFP ; Bazilevs, Y ; Akkerman, I (2020)
A theoretical framework for discontinuity capturing: Joining variational multiscale analysis and variation entropy theory.
In: Computer Methods in Applied Mechanics and Engineering, 359
doi: 10.1016/j.cma.2019.112664
Artikel, Bibliographie

ten Eikelder, MFP ; Akkerman, Ido (2018)
Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective--diffusive context.
In: Computer Methods in Applied Mechanics and Engineering, 331
doi: 10.1016/j.cma.2017.11.020
Artikel, Bibliographie

ten Eikelder, MFP ; Akkerman, I (2018)
Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier--Stokes equations.
In: Computer Methods in Applied Mechanics and Engineering, 340
doi: 10.1016/j.cma.2018.02.030
Artikel, Bibliographie

ten Eikelder, Marco FP ; Daude, Frédéric ; Koren, Barry ; Tijsseling, Arris S (2017)
An acoustic-convective splitting-based approach for the Kapila two-phase flow model.
In: Journal of Computational Physics, 331
doi: 10.1016/j.jcp.2016.11.031
Artikel, Bibliographie

V

Vivar Perez, J. M. ; Duczek, S. ; Gabbert, U. (2014)
Analytical and Higher Order Finite Element Hybrid Approaches for an Efficient Simulation of Ultrasonic Guided Waves I: 2D-Analysis.
In: Smart Structures and Systems, 13 (4)
doi: 10.12989/sss.2014.13.4.587
Artikel, Bibliographie

W

Willberg, C. ; Duczek, S. ; Vivar Perez, J. M. ; Ahmad, Z. A. B. (2015)
Simulation Methods for Guided-Wave Based Structural Health Monitoring: A Review.
In: Applied Mechanics Reviews, 67 (1)
doi: 10.1115/1.4029539
Artikel, Bibliographie

Willberg, C. ; Duczek, S. ; Gabbert, U. (2013)
Increasing the Scanning Range of Lamb Wave Based SHM Systems by Optimizing the Actuator-Sensor Design.
In: CEAS Aeronautical Journal, 4 (1)
doi: 10.1007/s13272-012-0052-x
Artikel, Bibliographie

Willberg, C. ; Duczek, S. ; Vivar Perez, J. M. ; Schmicker, D. ; Gabbert, U. (2012)
Comparison of Different Higher Order Finite Element Schemes for the Simulation of Lamb Waves.
In: Computer Methods in Applied Mechanics and Engineering, 241-244
doi: 10.1016/j.cma.2012.06.011
Artikel, Bibliographie

Y

Ya, S. ; Eisenträger, S. ; Song, C. ; Li, J. (2021)
An Open-Source ABAQUS Implementation of the Scaled Boundary Finite Element Method to Study Interfacial Problems Using Polyhedral Meshes.
In: Computer Methods in Applied Mechanics and Engineering, 381
doi: 10.1016/j.cma.2021.113766
Artikel, Bibliographie

Z

Zhang, J. ; Zhao, M. ; Eisenträger, S. ; Du, X. ; Song, C. (2022)
An Asynchronous Parallel Explicit Solver Based on the Scaled Boundary Finite Element Method Using Octree Meshes.
In: Computer Methods in Applied Mechanics and Engineering, 401 (B)
doi: 10.1016/j.cma.2022.115653
Artikel, Bibliographie

Zhang, Junqi ; Gravenkamp, Hauke ; Eisenträger, Sascha ; Song, Chongmin (2021)
A Massively Parallel Explicit Solver for Elasto-Dynamic Problems Exploiting Octree Meshes.
In: Computer Methods in Applied Mechanics and Engineering, 380
doi: 10.1016/j.cma.2021.113811
Artikel, Bibliographie

Zhang, J. ; Eisenträger, J. ; Duczek, S. ; Song, C. (2020)
Discrete Modeling of Fiber Reinforced Composites Using the Scaled Boundary Finite Element Method.
In: Composite Structures, 235
doi: 10.1016/j.compstruct.2019.111744
Artikel, Bibliographie