Tóth, Balázs; Düster, Alexander \(h\)-adaptive radial basis function finite difference method for linear elasticity problems. (English) Zbl 1515.74077 Comput. Mech. 71, No. 3, 433-452 (2023). MSC: 74S20 74B05 PDFBibTeX XMLCite \textit{B. Tóth} and \textit{A. Düster}, Comput. Mech. 71, No. 3, 433--452 (2023; Zbl 1515.74077) Full Text: DOI
Hildebrandt, André; Sharma, Prateek; Düster, Alexander; Diebels, Stefan Experimental and numerical investigation of the deformation behaviour of cables and thin beam-like structures under multi-axial loading. (English) Zbl 07619138 Math. Mech. Solids 27, No. 10, 2314-2337 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Hildebrandt} et al., Math. Mech. Solids 27, No. 10, 2314--2337 (2022; Zbl 07619138) Full Text: DOI
Petö, Márton; Garhuom, Wadhah; Duvigneau, Fabian; Eisenträger, Sascha; Düster, Alexander; Juhre, Daniel Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D. (English) Zbl 1507.74504 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115565, 28 p. (2022). MSC: 74S05 65N30 74B20 PDFBibTeX XMLCite \textit{M. Petö} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115565, 28 p. (2022; Zbl 1507.74504) Full Text: DOI
Garhuom, Wadhah; Düster, Alexander Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations. (English) Zbl 1501.74070 Comput. Mech. 70, No. 5, 1059-1081 (2022). MSC: 74S99 74B20 74C15 PDFBibTeX XMLCite \textit{W. Garhuom} and \textit{A. Düster}, Comput. Mech. 70, No. 5, 1059--1081 (2022; Zbl 1501.74070) Full Text: DOI
Hildebrandt, André; Düster, Alexander Numerical investigation of high-order solid finite elements for anisotropic finite strain problems. (English) Zbl 07547382 Int. J. Comput. Methods 19, No. 5, Article ID 2250007, 30 p. (2022). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{A. Hildebrandt} and \textit{A. Düster}, Int. J. Comput. Methods 19, No. 5, Article ID 2250007, 30 p. (2022; Zbl 07547382) Full Text: DOI
Garhuom, Wadhah; Usman, Khuldoon; Düster, Alexander An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems. (English) Zbl 1487.74120 Comput. Mech. 69, No. 5, 1225-1240 (2022). MSC: 74S99 74B20 74K20 PDFBibTeX XMLCite \textit{W. Garhuom} et al., Comput. Mech. 69, No. 5, 1225--1240 (2022; Zbl 1487.74120) Full Text: DOI
Radtke, Lars; Müller, David; Düster, Alexander Optimally blended spectral elements in structural dynamics: selective integration and mesh distortion. (English) Zbl 07488882 Int. J. Comput. Methods 18, No. 10, Article ID 2150042, 23 p. (2021). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{L. Radtke} et al., Int. J. Comput. Methods 18, No. 10, Article ID 2150042, 23 p. (2021; Zbl 07488882) Full Text: DOI
Düster, Alexander; Hubrich, Simeon Adaptive integration of cut finite elements and cells for nonlinear structural analysis. (English) Zbl 1481.74695 De Lorenzis, Laura (ed.) et al., Modeling in engineering using innovative numerical methods for solids and fluids. Papers based on the presentations at the CISM course, Udine, Italy, October 15–19, 2018. Cham: Springer. CISM Courses Lect. 599, 31-73 (2020). MSC: 74S05 74C05 74C15 74F10 74K20 PDFBibTeX XMLCite \textit{A. Düster} and \textit{S. Hubrich}, CISM Courses Lect. 599, 31--73 (2020; Zbl 1481.74695) Full Text: DOI
Düster, Alexander; Allix, Olivier Selective enrichment of moment fitting and application to cut finite elements and cells. (English) Zbl 1489.74053 Comput. Mech. 65, No. 2, 429-450 (2020). MSC: 74S05 74S99 74K10 PDFBibTeX XMLCite \textit{A. Düster} and \textit{O. Allix}, Comput. Mech. 65, No. 2, 429--450 (2020; Zbl 1489.74053) Full Text: DOI
Garhuom, Wadhah; Hubrich, Simeon; Radtke, Lars; Düster, Alexander A remeshing strategy for large deformations in the finite cell method. (English) Zbl 1455.74091 Comput. Math. Appl. 80, No. 11, 2379-2398 (2020). MSC: 74S99 74B20 PDFBibTeX XMLCite \textit{W. Garhuom} et al., Comput. Math. Appl. 80, No. 11, 2379--2398 (2020; Zbl 1455.74091) Full Text: DOI
Abedian, Alireza; Düster, Alexander Equivalent Legendre polynomials: numerical integration of discontinuous functions in the finite element methods. (English) Zbl 1440.65166 Comput. Methods Appl. Mech. Eng. 343, 690-720 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Abedian} and \textit{A. Düster}, Comput. Methods Appl. Mech. Eng. 343, 690--720 (2019; Zbl 1440.65166) Full Text: DOI
Taghipour, Aliakbar; Parvizian, Jamshid; Heinze, Stephan; Düster, Alexander The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries. (English) Zbl 1409.74047 Comput. Math. Appl. 75, No. 9, 3298-3316 (2018). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{A. Taghipour} et al., Comput. Math. Appl. 75, No. 9, 3298--3316 (2018; Zbl 1409.74047) Full Text: DOI
Sepahi, O.; Radtke, L.; Debus, S. E.; Düster, A. Anisotropic hierarchic solid finite elements for the simulation of passive-active arterial wall models. (English) Zbl 1398.92026 Comput. Math. Appl. 74, No. 12, 3058-3079 (2017). MSC: 92C10 65N30 PDFBibTeX XMLCite \textit{O. Sepahi} et al., Comput. Math. Appl. 74, No. 12, 3058--3079 (2017; Zbl 1398.92026) Full Text: DOI
Radtke, Lars; König, Marcel; Düster, Alexander The influence of geometric imperfections in cardiovascular FSI simulations. (English) Zbl 1397.92146 Comput. Math. Appl. 74, No. 7, 1675-1689 (2017). MSC: 92C35 65N30 65N08 76Z05 PDFBibTeX XMLCite \textit{L. Radtke} et al., Comput. Math. Appl. 74, No. 7, 1675--1689 (2017; Zbl 1397.92146) Full Text: DOI
Abedian, Alireza; Düster, Alexander An extension of the finite cell method using Boolean operations. (English) Zbl 1398.65286 Comput. Mech. 59, No. 5, 877-886 (2017). MSC: 65N30 65D30 74S30 74S05 74B05 PDFBibTeX XMLCite \textit{A. Abedian} and \textit{A. Düster}, Comput. Mech. 59, No. 5, 877--886 (2017; Zbl 1398.65286) Full Text: DOI
Joulaian, Meysam; Hubrich, Simeon; Düster, Alexander Numerical integration of discontinuities on arbitrary domains based on moment fitting. (English) Zbl 1382.65066 Comput. Mech. 57, No. 6, 979-999 (2016). MSC: 65D30 PDFBibTeX XMLCite \textit{M. Joulaian} et al., Comput. Mech. 57, No. 6, 979--999 (2016; Zbl 1382.65066) Full Text: DOI
Radtke, Lars; Larena-Avellaneda, Axel; Debus, Eike Sebastian; Düster, Alexander Convergence acceleration for partitioned simulations of the fluid-structure interaction in arteries. (English) Zbl 1382.74049 Comput. Mech. 57, No. 6, 901-920 (2016). MSC: 74F10 74L15 PDFBibTeX XMLCite \textit{L. Radtke} et al., Comput. Mech. 57, No. 6, 901--920 (2016; Zbl 1382.74049) Full Text: DOI
Rothe, Steffen; Erbts, Patrick; Düster, Alexander; Hartmann, Stefan Monolithic and partitioned coupling schemes for thermo-viscoplasticity. (English) Zbl 1423.74916 Comput. Methods Appl. Mech. Eng. 293, 375-410 (2015). MSC: 74S05 74C10 65M60 74F05 PDFBibTeX XMLCite \textit{S. Rothe} et al., Comput. Methods Appl. Mech. Eng. 293, 375--410 (2015; Zbl 1423.74916) Full Text: DOI
Erbts, Patrick; Hartmann, Stefan; Düster, Alexander A partitioned solution approach for electro-thermo-mechanical problems. (English) Zbl 1347.74025 Arch. Appl. Mech. 85, No. 8, 1075-1101 (2015). MSC: 74F05 74F15 74S30 PDFBibTeX XMLCite \textit{P. Erbts} et al., Arch. Appl. Mech. 85, No. 8, 1075--1101 (2015; Zbl 1347.74025) Full Text: DOI
Dauge, Monique; Düster, Alexander; Rank, Ernst Theoretical and numerical investigation of the finite cell method. (English) Zbl 1331.65160 J. Sci. Comput. 65, No. 3, 1039-1064 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N85 35J05 65N12 PDFBibTeX XMLCite \textit{M. Dauge} et al., J. Sci. Comput. 65, No. 3, 1039--1064 (2015; Zbl 1331.65160) Full Text: DOI
Duczek, S.; Joulaian, M.; Düster, A.; Gabbert, U. Numerical analysis of Lamb waves using the finite and spectral cell methods. (English) Zbl 1352.74144 Int. J. Numer. Methods Eng. 99, No. 1, 26-53 (2014). MSC: 74J15 74S05 74S25 65M60 65M70 PDFBibTeX XMLCite \textit{S. Duczek} et al., Int. J. Numer. Methods Eng. 99, No. 1, 26--53 (2014; Zbl 1352.74144) Full Text: DOI
Joulaian, Meysam; Duczek, Sascha; Gabbert, Ulrich; Düster, Alexander Finite and spectral cell method for wave propagation in heterogeneous materials. (English) Zbl 1311.74056 Comput. Mech. 54, No. 3, 661-675 (2014). MSC: 74J05 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{M. Joulaian} et al., Comput. Mech. 54, No. 3, 661--675 (2014; Zbl 1311.74056) Full Text: DOI
Joulaian, Meysam; Düster, Alexander Local enrichment of the finite cell method for problems with material interfaces. (English) Zbl 1311.74123 Comput. Mech. 52, No. 4, 741-762 (2013). MSC: 74S05 PDFBibTeX XMLCite \textit{M. Joulaian} and \textit{A. Düster}, Comput. Mech. 52, No. 4, 741--762 (2013; Zbl 1311.74123) Full Text: DOI
Netz, Torben; Düster, Alexander; Hartmann, Stefan High-order finite elements compared to low-order mixed element formulations. (English) Zbl 1332.74048 ZAMM, Z. Angew. Math. Mech. 93, No. 2-3, 163-176 (2013). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{T. Netz} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 2--3, 163--176 (2013; Zbl 1332.74048) Full Text: DOI
Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A. Geometric modeling, isogeometric analysis and the finite cell method. (English) Zbl 1348.74340 Comput. Methods Appl. Mech. Eng. 249-252, 104-115 (2012). MSC: 74S30 65D17 PDFBibTeX XMLCite \textit{E. Rank} et al., Comput. Methods Appl. Mech. Eng. 249--252, 104--115 (2012; Zbl 1348.74340) Full Text: DOI
Düster, Alexander; Sehlhorst, Hans-Georg; Rank, Ernst Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method. (English) Zbl 1386.74117 Comput. Mech. 50, No. 4, 413-431 (2012). MSC: 74Q05 74Q15 74S30 PDFBibTeX XMLCite \textit{A. Düster} et al., Comput. Mech. 50, No. 4, 413--431 (2012; Zbl 1386.74117) Full Text: DOI
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. (English) Zbl 1398.74401 Comput. Mech. 50, No. 4, 445-478 (2012). MSC: 74S05 65N30 74S30 76M10 74B20 42C40 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Mech. 50, No. 4, 445--478 (2012; Zbl 1398.74401) Full Text: DOI
Franke, David; Rank, Ernst; Düster, Alexander Computational contact mechanics based on the \(rp\)-version of the finite element method. (English) Zbl 1245.74046 Int. J. Comput. Methods 8, No. 3, 493-512 (2011). MSC: 74M15 74S05 65N30 PDFBibTeX XMLCite \textit{D. Franke} et al., Int. J. Comput. Methods 8, No. 3, 493--512 (2011; Zbl 1245.74046) Full Text: DOI
Rank, E.; Kollmannsberger, S.; Sorger, Ch.; Düster, A. Shell finite cell method: a high order fictitious domain approach for thin-walled structures. (English) Zbl 1230.74232 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 3200-3209 (2011). MSC: 74S30 74S05 74K25 PDFBibTeX XMLCite \textit{E. Rank} et al., Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 3200--3209 (2011; Zbl 1230.74232) Full Text: DOI
Franke, David; Düster, A.; Nübel, V.; Rank, E. A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem. (English) Zbl 1398.74330 Comput. Mech. 45, No. 5, 513-522 (2010); erratum ibid. 45, No. 6, 679 (2010). MSC: 74S05 74M15 65N30 74B20 74K25 PDFBibTeX XMLCite \textit{D. Franke} et al., Comput. Mech. 45, No. 5, 513--522 (2010; Zbl 1398.74330) Full Text: DOI
Sehlhorst, H.-G.; Jänicke, R.; Düster, A.; Rank, E.; Steeb, H.; Diebels, S. Numerical investigations of foam-like materials by nested high-order finite element methods. (English) Zbl 1398.74402 Comput. Mech. 45, No. 1, 45-59 (2009). MSC: 74S05 74Q05 74G60 74B20 74E30 PDFBibTeX XMLCite \textit{H. G. Sehlhorst} et al., Comput. Mech. 45, No. 1, 45--59 (2009; Zbl 1398.74402) Full Text: DOI
Düster, A.; Parvizian, J.; Yang, Z.; Rank, E. The finite cell method for three-dimensional problems of solid mechanics. (English) Zbl 1194.74517 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3768-3782 (2008). MSC: 74S30 74B05 PDFBibTeX XMLCite \textit{A. Düster} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3768--3782 (2008; Zbl 1194.74517) Full Text: DOI
Heisserer, Ulrich; Hartmann, Stefan; Düster, Alexander; Bier, Wolfgang; Yosibash, Zohar; Rank, Ernst \(p\)-FEM for finite deformation powder compaction. (English) Zbl 1169.74608 Comput. Methods Appl. Mech. Eng. 197, No. 6-8, 727-740 (2008). MSC: 74S05 74C20 PDFBibTeX XMLCite \textit{U. Heisserer} et al., Comput. Methods Appl. Mech. Eng. 197, No. 6--8, 727--740 (2008; Zbl 1169.74608) Full Text: DOI
Düster, A.; Niggl, A.; Rank, E. Applying the \(hp-d\) version of the FEM to locally enhance dimensionally reduced models. (English) Zbl 1173.74413 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3524-3533 (2007). MSC: 74S05 74K10 74K20 PDFBibTeX XMLCite \textit{A. Düster} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3524--3533 (2007; Zbl 1173.74413) Full Text: DOI
Düster, A.; Scholz, D.; Rank, E. \(pq\)-adaptive solid finite elements for three-dimensional plates and shells. (English) Zbl 1169.74598 Comput. Methods Appl. Mech. Eng. 197, No. 1-4, 243-254 (2007). MSC: 74S05 74K20 74K25 PDFBibTeX XMLCite \textit{A. Düster} et al., Comput. Methods Appl. Mech. Eng. 197, No. 1--4, 243--254 (2007; Zbl 1169.74598) Full Text: DOI
Nübel, Vera; Düster, Alexander; Rank, Ernst An \(rp\)-adaptive finite element method for the deformation theory of plasticity. (English) Zbl 1163.74046 Comput. Mech. 39, No. 5, 557-574 (2007). MSC: 74S05 74C05 PDFBibTeX XMLCite \textit{V. Nübel} et al., Comput. Mech. 39, No. 5, 557--574 (2007; Zbl 1163.74046) Full Text: DOI
Scholz, Dominik; Kollmannsberger, Stefan; Düster, Alexander; Rank, Ernst Thin solids for fluid-structure interaction. (English) Zbl 1323.74094 Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005. Berlin: Springer (ISBN 3-540-34595-7/pbk). Lecture Notes in Computational Science and Engineering 53, 294-335 (2006). MSC: 74S05 76M28 74F10 PDFBibTeX XMLCite \textit{D. Scholz} et al., Lect. Notes Comput. Sci. Eng. 53, 294--335 (2006; Zbl 1323.74094) Full Text: DOI
Rank, E.; Düster, A.; Nübel, V.; Preusch, K.; Bruhns, O. T. High-order finite elements for shells. (English) Zbl 1082.74056 Comput. Methods Appl. Mech. Eng. 194, No. 21-24, 2494-2512 (2005). MSC: 74S05 74K25 PDFBibTeX XMLCite \textit{E. Rank} et al., Comput. Methods Appl. Mech. Eng. 194, No. 21--24, 2494--2512 (2005; Zbl 1082.74056) Full Text: DOI
Düster, Alexander; Hartmann, Stefan; Rank, Ernst \(p\)-FEM applied to finite isotropic hyperelastic bodies. (English) Zbl 1053.74043 Comput. Methods Appl. Mech. Eng. 192, No. 47-48, 5147-5166 (2003). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{A. Düster} et al., Comput. Methods Appl. Mech. Eng. 192, No. 47--48, 5147--5166 (2003; Zbl 1053.74043) Full Text: DOI
Düster, A.; Rank, E. A \(p\)-version finite element approach for two- and three-dimensional problems for the \(J_2\) flow theory with nonlinear isotropic hardening. (English) Zbl 1112.74509 Int. J. Numer. Methods Eng. 53, No. 1, 49-63 (2002). MSC: 74S05 74C05 PDFBibTeX XMLCite \textit{A. Düster} and \textit{E. Rank}, Int. J. Numer. Methods Eng. 53, No. 1, 49--63 (2002; Zbl 1112.74509) Full Text: DOI
Düster, A.; Bröker, H.; Rank, E. The \(p\)-version of the finite element method for three-dimensional curved thin walled structures. (English) Zbl 1058.74079 Int. J. Numer. Methods Eng. 52, No. 7, 673-703 (2001). MSC: 74S05 74K20 74K25 PDFBibTeX XMLCite \textit{A. Düster} et al., Int. J. Numer. Methods Eng. 52, No. 7, 673--703 (2001; Zbl 1058.74079) Full Text: DOI
Rank, Ernst; Rücker, Martin; Düster, Alexander; Bröker, Henrike The efficiency of the \(p\)-version finite element method in a distributed computing environment. (English) Zbl 1128.74336 Int. J. Numer. Methods Eng. 52, No. 5-6, 589-604 (2001). MSC: 74S05 74K20 65Y05 PDFBibTeX XMLCite \textit{E. Rank} et al., Int. J. Numer. Methods Eng. 52, No. 5--6, 589--604 (2001; Zbl 1128.74336) Full Text: DOI
Düster, A.; Rank, E. The \(p\)-version of the finite element method compared to an adaptive \(h\)-version for the deformation theory of plasticity. (English) Zbl 1114.74486 Comput. Methods Appl. Mech. Eng. 190, No. 15-17, 1925-1932 (2001). MSC: 74S05 74C99 PDFBibTeX XMLCite \textit{A. Düster} and \textit{E. Rank}, Comput. Methods Appl. Mech. Eng. 190, No. 15--17, 1925--1932 (2001; Zbl 1114.74486) Full Text: DOI