Thomann, Andrea; Iollo, Angelo; Puppo, Gabriella Implicit relaxed all Mach number schemes for gases and compressible materials. (English) Zbl 1525.65088 SIAM J. Sci. Comput. 45, No. 5, A2632-A2656 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65L04 65L06 76M12 76M20 76N15 74B20 74F10 74S10 74S20 35L65 35Q31 PDFBibTeX XMLCite \textit{A. Thomann} et al., SIAM J. Sci. Comput. 45, No. 5, A2632--A2656 (2023; Zbl 1525.65088) Full Text: DOI arXiv
Labanda, Nicolás A.; Behnoudfar, Pouria; Calo, Victor M. An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics. (English) Zbl 07620376 J. Comput. Phys. 472, Article ID 111696, 24 p. (2023). MSC: 74Sxx 65Mxx 65Dxx PDFBibTeX XMLCite \textit{N. A. Labanda} et al., J. Comput. Phys. 472, Article ID 111696, 24 p. (2023; Zbl 07620376) Full Text: DOI arXiv
Eberle, Robert; Oberguggenberger, Michael A new method for estimating the bending stiffness curve of non-uniform Euler-Bernoulli beams using static deflection data. (English) Zbl 1505.74114 Appl. Math. Modelling 105, 514-533 (2022). MSC: 74K10 49N45 49N90 74B05 PDFBibTeX XMLCite \textit{R. Eberle} and \textit{M. Oberguggenberger}, Appl. Math. Modelling 105, 514--533 (2022; Zbl 1505.74114) Full Text: DOI
Duy Phan; Ostermann, Alexander Exponential integrators for second-order in time partial differential equations. (English) Zbl 1511.65096 J. Sci. Comput. 93, No. 2, Paper No. 58, 26 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65F60 65L04 65L06 74K10 74D10 76A10 35Q53 35Q74 PDFBibTeX XMLCite \textit{Duy Phan} and \textit{A. Ostermann}, J. Sci. Comput. 93, No. 2, Paper No. 58, 26 p. (2022; Zbl 1511.65096) Full Text: DOI arXiv
Labanda, Nicolás A.; Espath, Luis; Calo, Victor M. A spatio-temporal adaptive phase-field fracture method. (English) Zbl 1507.74393 Comput. Methods Appl. Mech. Eng. 392, Article ID 114675, 20 p. (2022). MSC: 74R10 PDFBibTeX XMLCite \textit{N. A. Labanda} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114675, 20 p. (2022; Zbl 1507.74393) Full Text: DOI arXiv
Blühdorn, Johannes; Gauger, Nicolas R.; Kabel, Matthias AutoMat: automatic differentiation for generalized standard materials on GPUs. (English) Zbl 07492686 Comput. Mech. 69, No. 2, 589-613 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{J. Blühdorn} et al., Comput. Mech. 69, No. 2, 589--613 (2022; Zbl 07492686) Full Text: DOI arXiv
Grubišić, Luka; Ljulj, Matko; Mehrmann, Volker; Tambača, Josip Modeling and discretization methods for the numerical simulation of elastic frame structures. (English) Zbl 1452.74107 ETNA, Electron. Trans. Numer. Anal. 54, 1-30 (2021). MSC: 74S05 74K10 74K30 74G15 74H15 65M15 65M60 PDFBibTeX XMLCite \textit{L. Grubišić} et al., ETNA, Electron. Trans. Numer. Anal. 54, 1--30 (2021; Zbl 1452.74107) Full Text: DOI arXiv Link
Huang, Daniel Z.; Pazner, Will; Persson, Per-Olof; Zahr, Matthew J. High-order partitioned spectral deferred correction solvers for multiphysics problems. (English) Zbl 1436.65081 J. Comput. Phys. 412, Article ID 109441, 19 p. (2020). MSC: 65L05 65L07 65L70 74F10 PDFBibTeX XMLCite \textit{D. Z. Huang} et al., J. Comput. Phys. 412, Article ID 109441, 19 p. (2020; Zbl 1436.65081) Full Text: DOI arXiv
Linn, Joachim Discrete Cosserat rod kinematics constructed on the basis of the difference geometry of framed curves – Part I. Discrete Cosserat curves on a staggered grid. (English) Zbl 1433.74068 J. Elasticity 139, No. 2, 177-236 (2020). MSC: 74K10 53A04 PDFBibTeX XMLCite \textit{J. Linn}, J. Elasticity 139, No. 2, 177--236 (2020; Zbl 1433.74068) Full Text: DOI
Alben, Silas; Gorodetsky, Alex A.; Kim, Donghak; Deegan, Robert D. Semi-implicit methods for the dynamics of elastic sheets. (English) Zbl 1453.74081 J. Comput. Phys. 399, Article ID 108952, 17 p. (2019). MSC: 74S20 74K35 74B05 65M06 PDFBibTeX XMLCite \textit{S. Alben} et al., J. Comput. Phys. 399, Article ID 108952, 17 p. (2019; Zbl 1453.74081) Full Text: DOI arXiv
De Oliveira Vilaca, Luis Miguel; Milinkovitch, Michel C.; Ruiz-Baier, Ricardo Numerical approximation of a 3D mechanochemical interface model for skin patterning. (English) Zbl 1451.65144 J. Comput. Phys. 384, 383-404 (2019). MSC: 65M60 65Z05 92C15 74F10 76V05 76R50 76M10 PDFBibTeX XMLCite \textit{L. M. De Oliveira Vilaca} et al., J. Comput. Phys. 384, 383--404 (2019; Zbl 1451.65144) Full Text: DOI arXiv
Wackerfuß, Jens; Niederhöfer, Florian Using finite element codes as a numerical platform to run molecular dynamics simulations. (English) Zbl 1468.74073 Comput. Mech. 63, No. 2, 271-300 (2019). MSC: 74S05 74A25 74M25 74H45 PDFBibTeX XMLCite \textit{J. Wackerfuß} and \textit{F. Niederhöfer}, Comput. Mech. 63, No. 2, 271--300 (2019; Zbl 1468.74073) Full Text: DOI
Mangoni, Dario; Tasora, Alessandro; Garziera, Rinaldo A primal-dual predictor-corrector interior point method for non-smooth contact dynamics. (English) Zbl 1439.74226 Comput. Methods Appl. Mech. Eng. 330, 351-367 (2018). MSC: 74M15 65K15 PDFBibTeX XMLCite \textit{D. Mangoni} et al., Comput. Methods Appl. Mech. Eng. 330, 351--367 (2018; Zbl 1439.74226) Full Text: DOI
Torberntsson, Kim; Stiernström, Vidar; Mattsson, Ken; Dunham, Eric M. A finite difference method for earthquake sequences in poroelastic solids. (English) Zbl 1406.86018 Comput. Geosci. 22, No. 5, 1351-1370 (2018). MSC: 86A15 65M06 74L05 86A60 PDFBibTeX XMLCite \textit{K. Torberntsson} et al., Comput. Geosci. 22, No. 5, 1351--1370 (2018; Zbl 1406.86018) Full Text: DOI
Liu, Jia-Peng; Cheng, Zai-Bin; Ren, Ge-Xue An arbitrary Lagrangian-Eulerian formulation of a geometrically exact Timoshenko beam running through a tube. (English) Zbl 1396.74082 Acta Mech. 229, No. 8, 3161-3188 (2018). MSC: 74M15 74K10 PDFBibTeX XMLCite \textit{J.-P. Liu} et al., Acta Mech. 229, No. 8, 3161--3188 (2018; Zbl 1396.74082) Full Text: DOI
Kuznetsov, E. B.; Leonov, S. S. Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points. (English. Russian original) Zbl 1425.65075 Comput. Math. Math. Phys. 58, No. 6, 881-897 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 914-933 (2018). MSC: 65L05 34E10 74A05 PDFBibTeX XMLCite \textit{E. B. Kuznetsov} and \textit{S. S. Leonov}, Comput. Math. Math. Phys. 58, No. 6, 881--897 (2018; Zbl 1425.65075); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 914--933 (2018) Full Text: DOI
Poursina, Mohammad; Anderson, Kurt S. Optimization problem and efficient partitioning algorithm for transitions to finer-scale models in adaptive resolution simulation of articulated biopolymers. (English) Zbl 1419.92007 Multibody Syst. Dyn. 42, No. 1, 97-117 (2018). MSC: 92C40 74P99 90C90 PDFBibTeX XMLCite \textit{M. Poursina} and \textit{K. S. Anderson}, Multibody Syst. Dyn. 42, No. 1, 97--117 (2018; Zbl 1419.92007) Full Text: DOI
Melanz, Daniel; Fang, Luning; Jayakumar, Paramsothy; Negrut, Dan A comparison of numerical methods for solving multibody dynamics problems with frictional contact modeled via differential variational inequalities. (English) Zbl 1439.74229 Comput. Methods Appl. Mech. Eng. 320, 668-693 (2017). MSC: 74M15 65L80 70E55 PDFBibTeX XMLCite \textit{D. Melanz} et al., Comput. Methods Appl. Mech. Eng. 320, 668--693 (2017; Zbl 1439.74229) Full Text: DOI
Versino, Daniele; Brock, Jerry S. Benchmark solution of the dynamic response of a spherical shell at finite strain. (English) Zbl 1406.74482 Eur. J. Mech., A, Solids 61, 186-197 (2017). MSC: 74K25 74S05 PDFBibTeX XMLCite \textit{D. Versino} and \textit{J. S. Brock}, Eur. J. Mech., A, Solids 61, 186--197 (2017; Zbl 1406.74482) Full Text: DOI Link
Ortega, Roberto; García Orden, Juan Carlos; Cruchaga, Marcela; García, Claudio Energy-consistent simulation of frictional contact in rigid multibody systems using implicit surfaces and penalty method. (English) Zbl 1386.70017 Multibody Syst. Dyn. 41, No. 3, 275-295 (2017). MSC: 70E55 74M10 PDFBibTeX XMLCite \textit{R. Ortega} et al., Multibody Syst. Dyn. 41, No. 3, 275--295 (2017; Zbl 1386.70017) Full Text: DOI
Queiruga, Alejandro Francisco; Zohdi, Tarek I. Formulation and numerical analysis of a fully-coupled dynamically deforming electromagnetic wire. (English) Zbl 1425.74178 Comput. Methods Appl. Mech. Eng. 305, 292-315 (2016). MSC: 74F15 74K10 PDFBibTeX XMLCite \textit{A. F. Queiruga} and \textit{T. I. Zohdi}, Comput. Methods Appl. Mech. Eng. 305, 292--315 (2016; Zbl 1425.74178) Full Text: DOI Link
Maruyama, T.; Saitoh, T.; Bui, T. Q.; Hirose, S. Transient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge-Kutta convolution quadrature. (English) Zbl 1425.74499 Comput. Methods Appl. Mech. Eng. 303, 231-259 (2016). MSC: 74S15 65M38 74G75 PDFBibTeX XMLCite \textit{T. Maruyama} et al., Comput. Methods Appl. Mech. Eng. 303, 231--259 (2016; Zbl 1425.74499) Full Text: DOI
Blumentals, Alejandro; Brogliato, Bernard; Bertails-Descoubes, Florence The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb’s friction: a tutorial. (English) Zbl 1372.70044 Multibody Syst. Dyn. 38, No. 1, 43-76 (2016). MSC: 70H03 74M15 PDFBibTeX XMLCite \textit{A. Blumentals} et al., Multibody Syst. Dyn. 38, No. 1, 43--76 (2016; Zbl 1372.70044) Full Text: DOI HAL
Tasora, Alessandro; Serban, Radu; Mazhar, Hammad; Pazouki, Arman; Melanz, Daniel; Fleischmann, Jonathan; Taylor, Michael; Sugiyama, Hiroyuki; Negrut, Dan Chrono: an open source multi-physics dynamics engine. (English) Zbl 1382.70001 Kozubek, Tomáš (ed.) et al., High performance computing in science and engineering. Second international conference, HPCSE 2015, Soláň, Czech Republic, May 25–28, 2015. Revised selected papers. Cham: Springer (ISBN 978-3-319-40360-1/pbk; 978-3-319-40361-8/ebook). Lecture Notes in Computer Science 9611, 19-49 (2016). MSC: 70-04 74-04 76-04 70Kxx 74Mxx 74F10 76T25 65Y05 PDFBibTeX XMLCite \textit{A. Tasora} et al., Lect. Notes Comput. Sci. 9611, 19--49 (2016; Zbl 1382.70001) Full Text: DOI
Jung, Chang-Yeol; Nguyen, Thien Binh New time differencing methods for spectral methods. (English) Zbl 1332.74051 J. Sci. Comput. 66, No. 2, 650-671 (2016). MSC: 74S25 65L04 34E15 80M35 76R50 35B40 80M12 76M22 PDFBibTeX XMLCite \textit{C.-Y. Jung} and \textit{T. B. Nguyen}, J. Sci. Comput. 66, No. 2, 650--671 (2016; Zbl 1332.74051) Full Text: DOI
Hay, A.; Etienne, S.; Garon, A.; Pelletier, D. Time-integration for ALE simulations of fluid-structure interaction problems: stepsize and order selection based on the BDF. (English) Zbl 1423.76238 Comput. Methods Appl. Mech. Eng. 295, 172-195 (2015). MSC: 76M10 65M60 74F10 76D05 74H45 PDFBibTeX XMLCite \textit{A. Hay} et al., Comput. Methods Appl. Mech. Eng. 295, 172--195 (2015; Zbl 1423.76238) Full Text: DOI
Schindler, Thorsten; Rezaei, Shahed; Kursawe, Jochen; Acary, Vincent Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods. (English) Zbl 1423.74918 Comput. Methods Appl. Mech. Eng. 290, 250-276 (2015). MSC: 74S05 65M60 74M10 74M15 PDFBibTeX XMLCite \textit{T. Schindler} et al., Comput. Methods Appl. Mech. Eng. 290, 250--276 (2015; Zbl 1423.74918) Full Text: DOI HAL
Wang, Chengjie; Eldredge, Jeff D. Strongly coupled dynamics of fluids and rigid-body systems with the immersed boundary projection method. (English) Zbl 1349.76280 J. Comput. Phys. 295, 87-113 (2015). MSC: 76M10 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. D. Eldredge}, J. Comput. Phys. 295, 87--113 (2015; Zbl 1349.76280) Full Text: DOI
Schweizer, Bernhard; Li, Pu; Lu, Daixing; Meyer, Tobias Stabilized implicit co-simulation methods: solver coupling based on constitutive laws. (English) Zbl 1347.74092 Arch. Appl. Mech. 85, No. 11, 1559-1594 (2015). MSC: 74S30 PDFBibTeX XMLCite \textit{B. Schweizer} et al., Arch. Appl. Mech. 85, No. 11, 1559--1594 (2015; Zbl 1347.74092) Full Text: DOI
Abdulle, A.; Huber, M. E.; Vilmart, G. Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems. (English) Zbl 1336.74063 Multiscale Model. Simul. 13, No. 3, 916-952 (2015). MSC: 74S05 74D10 74Q10 65M60 35Q74 35B27 35K20 35K59 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Multiscale Model. Simul. 13, No. 3, 916--952 (2015; Zbl 1336.74063) Full Text: DOI HAL
Jung, Chang-Yeol; Nguyen, Thien Binh Semi-analytical time differencing methods for stiff problems. (English) Zbl 1328.74086 J. Sci. Comput. 63, No. 2, 355-373 (2015). MSC: 74S25 65L04 34E15 80M35 76R50 35B40 80M12 PDFBibTeX XMLCite \textit{C.-Y. Jung} and \textit{T. B. Nguyen}, J. Sci. Comput. 63, No. 2, 355--373 (2015; Zbl 1328.74086) Full Text: DOI
Gawlik, Evan S.; Lew, Adrian J. High-order finite element methods for moving boundary problems with prescribed boundary evolution. (English) Zbl 1423.76233 Comput. Methods Appl. Mech. Eng. 278, 314-346 (2014). MSC: 76M10 74S05 74F10 65M60 PDFBibTeX XMLCite \textit{E. S. Gawlik} and \textit{A. J. Lew}, Comput. Methods Appl. Mech. Eng. 278, 314--346 (2014; Zbl 1423.76233) Full Text: DOI arXiv
Karimi, S.; Nakshatrala, K. B. On multi-time-step monolithic coupling algorithms for elastodynamics. (English) Zbl 1351.74167 J. Comput. Phys. 273, 671-705 (2014). MSC: 74S30 65L80 74F05 74F10 PDFBibTeX XMLCite \textit{S. Karimi} and \textit{K. B. Nakshatrala}, J. Comput. Phys. 273, 671--705 (2014; Zbl 1351.74167) Full Text: DOI arXiv
Eidel, Bernhard; Stumpf, Felipe; Schröder, Jörg Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order \(p\geq 2\) and a considerable speed-up. (English) Zbl 1282.74020 Comput. Mech. 52, No. 3, 463-483 (2013). MSC: 74D10 74S05 65M60 PDFBibTeX XMLCite \textit{B. Eidel} et al., Comput. Mech. 52, No. 3, 463--483 (2013; Zbl 1282.74020) Full Text: DOI
Gao, Q.; Yao, W. A.; Wu, F.; Zhang, H. W.; Lin, J. H.; Zhong, W. X.; Howson, W. P.; Williams, F. W. An efficient algorithm for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects. (English) Zbl 1282.74104 Comput. Mech. 52, No. 3, 525-534 (2013). MSC: 74S30 PDFBibTeX XMLCite \textit{Q. Gao} et al., Comput. Mech. 52, No. 3, 525--534 (2013; Zbl 1282.74104) Full Text: DOI
Banjai, Lehel; Messner, Matthias; Schanz, Martin Runge-Kutta convolution quadrature for the boundary element method. (English) Zbl 1354.74311 Comput. Methods Appl. Mech. Eng. 245-246, 90-101 (2012). MSC: 74S15 65N38 65D30 PDFBibTeX XMLCite \textit{L. Banjai} et al., Comput. Methods Appl. Mech. Eng. 245--246, 90--101 (2012; Zbl 1354.74311) Full Text: DOI
Karajan, Nils Multiphasic intervertebral disc mechanics: theory and application. (English) Zbl 1354.92008 Arch. Comput. Methods Eng. 19, No. 2, 261-339 (2012). MSC: 92C10 74L15 PDFBibTeX XMLCite \textit{N. Karajan}, Arch. Comput. Methods Eng. 19, No. 2, 261--339 (2012; Zbl 1354.92008) Full Text: DOI
Zhao, Zhihua; Ren, Gexue A quaternion-based formulation of Euler-Bernoulli beam without singularity. (English) Zbl 1329.74295 Nonlinear Dyn. 67, No. 3, 1825-1835 (2012). MSC: 74S05 74K10 15B33 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{G. Ren}, Nonlinear Dyn. 67, No. 3, 1825--1835 (2012; Zbl 1329.74295) Full Text: DOI
Heider, Y.; Markert, B.; Ehlers, W. Dynamic wave propagation in infinite saturated porous media half spaces. (English) Zbl 1353.74039 Comput. Mech. 49, No. 3, 319-336 (2012). MSC: 74J10 74F10 76S05 PDFBibTeX XMLCite \textit{Y. Heider} et al., Comput. Mech. 49, No. 3, 319--336 (2012; Zbl 1353.74039) Full Text: DOI
Hager, Corinna; Hauret, Patrice; Le Tallec, Patrick; Wohlmuth, Barbara I. Solving dynamic contact problems with local refinement in space and time. (English) Zbl 1239.74066 Comput. Methods Appl. Mech. Eng. 201-204, 25-41 (2012). MSC: 74M15 65M55 65M60 PDFBibTeX XMLCite \textit{C. Hager} et al., Comput. Methods Appl. Mech. Eng. 201--204, 25--41 (2012; Zbl 1239.74066) Full Text: DOI HAL
Idesman, A. Use of post-processing to increase the order of accuracy of the trapezoidal rule at time integration of linear elastodynamics problems. (English) Zbl 1327.74134 J. Comput. Phys. 231, No. 8, 3143-3165 (2012). MSC: 74S05 74S20 74K10 74H15 PDFBibTeX XMLCite \textit{A. Idesman}, J. Comput. Phys. 231, No. 8, 3143--3165 (2012; Zbl 1327.74134) Full Text: DOI
Pellicano, Francesco Dynamic instability of a circular cylindrical shell carrying a top mass under base excitation: experiments and theory. (English) Zbl 1236.74129 Int. J. Solids Struct. 48, No. 3-4, 408-427 (2011). MSC: 74H55 74K25 74-05 PDFBibTeX XMLCite \textit{F. Pellicano}, Int. J. Solids Struct. 48, No. 3--4, 408--427 (2011; Zbl 1236.74129) Full Text: DOI
Hong, Difeng; Ren, Gexue A modeling of sliding joint on one-dimensional flexible medium. (English) Zbl 1287.70003 Multibody Syst. Dyn. 26, No. 1, 91-106 (2011). MSC: 70E55 70H30 74K05 PDFBibTeX XMLCite \textit{D. Hong} and \textit{G. Ren}, Multibody Syst. Dyn. 26, No. 1, 91--106 (2011; Zbl 1287.70003) Full Text: DOI
Darbha, S.; Nakshatrala, K. B.; Rajagopal, K. R. On the vibrations of lumped parameter systems governed by differential-algebraic equations. (English) Zbl 1298.74101 J. Franklin Inst. 347, No. 1, 87-101 (2010). MSC: 74H45 PDFBibTeX XMLCite \textit{S. Darbha} et al., J. Franklin Inst. 347, No. 1, 87--101 (2010; Zbl 1298.74101) Full Text: DOI arXiv
Hartmann, Stefan; Hamkar, Ahmad-Wahadj Rosenbrock-type methods applied to finite element computations within finite strain viscoelasticity. (English) Zbl 1231.74412 Comput. Methods Appl. Mech. Eng. 199, No. 23-24, 1455-1470 (2010). MSC: 74S05 74D10 PDFBibTeX XMLCite \textit{S. Hartmann} and \textit{A.-W. Hamkar}, Comput. Methods Appl. Mech. Eng. 199, No. 23--24, 1455--1470 (2010; Zbl 1231.74412) Full Text: DOI
Martín-Vaquero, J. A 17th-order radau IIA method for package RADAU. Applications in mechanical systems. (English) Zbl 1193.65108 Comput. Math. Appl. 59, No. 8, 2464-2472 (2010). MSC: 65L04 65L06 74-04 PDFBibTeX XMLCite \textit{J. Martín-Vaquero}, Comput. Math. Appl. 59, No. 8, 2464--2472 (2010; Zbl 1193.65108) Full Text: DOI
Link, G.; Kaltenbacher, M.; Breuer, M.; Döllinger, M. A 2D finite-element scheme for fluid-solid-acoustic interactions and its application to human phonation. (English) Zbl 1230.74188 Comput. Methods Appl. Mech. Eng. 198, No. 41-44, 3321-3334 (2009). MSC: 74S05 74F10 74L15 76Q05 92C10 PDFBibTeX XMLCite \textit{G. Link} et al., Comput. Methods Appl. Mech. Eng. 198, No. 41--44, 3321--3334 (2009; Zbl 1230.74188) Full Text: DOI
Markert, Bernd A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application. (English) Zbl 1170.74325 Arch. Comput. Methods Eng. 15, No. 4, 371-446 (2008). MSC: 74F10 74S05 76S05 74-02 PDFBibTeX XMLCite \textit{B. Markert}, Arch. Comput. Methods Eng. 15, No. 4, 371--446 (2008; Zbl 1170.74325) Full Text: DOI
Arnold, Martin; Heckmann, Andreas From multibody dynamics to multidisciplinary applications. (English) Zbl 1323.70052 García Orden, Juan Carlos (ed.) et al., Multibody dynamics. Computational methods and applications. Revised, extented and selected papers of the ECCOMAS thematic conference multibody dynamics 2005, Madrid, Spain, June 21–24, 2005. Dordrecht: Springer (ISBN 978-1-4020-5683-3/hbk; 978-90-481-7427-0/pbk; 978-1-4020-5684-0/ebook). Computational Methods in Applied Sciences (Springer) 4, 273-294 (2007). MSC: 70E55 74F05 PDFBibTeX XMLCite \textit{M. Arnold} and \textit{A. Heckmann}, in: Multibody dynamics. Computational methods and applications. Revised, extented and selected papers of the ECCOMAS thematic conference multibody dynamics 2005, Madrid, Spain, June 21--24, 2005. Dordrecht: Springer. 273--294 (2007; Zbl 1323.70052) Full Text: DOI
Jelenić, Gordan; Muñoz, José J. Modelling multi-body systems using the master-slave approach. (English) Zbl 1323.70054 García Orden, Juan Carlos (ed.) et al., Multibody dynamics. Computational methods and applications. Revised, extented and selected papers of the ECCOMAS thematic conference multibody dynamics 2005, Madrid, Spain, June 21–24, 2005. Dordrecht: Springer (ISBN 978-1-4020-5683-3/hbk; 978-90-481-7427-0/pbk; 978-1-4020-5684-0/ebook). Computational Methods in Applied Sciences (Springer) 4, 1-22 (2007). MSC: 70E55 70B15 70-08 74M15 PDFBibTeX XMLCite \textit{G. Jelenić} and \textit{J. J. Muñoz}, in: Multibody dynamics. Computational methods and applications. Revised, extented and selected papers of the ECCOMAS thematic conference multibody dynamics 2005, Madrid, Spain, June 21--24, 2005. Dordrecht: Springer. 1--22 (2007; Zbl 1323.70054) Full Text: DOI
Wang, Lin-Xiang; Melnik, Roderick V. N. Differential-algebraic approach to coupled problems of dynamic thermoelasticity. (English) Zbl 1359.74063 Appl. Math. Mech., Engl. Ed. 27, No. 9, 1185-1196 (2006). MSC: 74F05 65M99 PDFBibTeX XMLCite \textit{L.-X. Wang} and \textit{R. V. N. Melnik}, Appl. Math. Mech., Engl. Ed. 27, No. 9, 1185--1196 (2006; Zbl 1359.74063) Full Text: DOI
Romero, Ignacio; Lacoma, Luis M. Analysis of error estimators for the semidiscrete equations of linear solid and structural dynamics. (English) Zbl 1118.74053 Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2674-2696 (2006). MSC: 74S20 74H15 65M15 PDFBibTeX XMLCite \textit{I. Romero} and \textit{L. M. Lacoma}, Comput. Methods Appl. Mech. Eng. 195, No. 19--22, 2674--2696 (2006; Zbl 1118.74053) Full Text: DOI
Gerstmayr, Johannes; Schöberl, Joachim A 3D finite element method for flexible multibody systems. (English) Zbl 1146.70318 Multibody Syst. Dyn. 15, No. 4, 309-324 (2006). MSC: 70E55 74S05 PDFBibTeX XMLCite \textit{J. Gerstmayr} and \textit{J. Schöberl}, Multibody Syst. Dyn. 15, No. 4, 309--324 (2006; Zbl 1146.70318) Full Text: DOI
Lehner, Michael; Eberhard, Peter On the use of moment-matching to build reduced order models in flexible multibody dynamics. (English) Zbl 1147.70304 Multibody Syst. Dyn. 16, No. 2, 191-211 (2006). MSC: 70E55 70K99 70-08 74H15 PDFBibTeX XMLCite \textit{M. Lehner} and \textit{P. Eberhard}, Multibody Syst. Dyn. 16, No. 2, 191--211 (2006; Zbl 1147.70304) Full Text: DOI
Wensch, Jörg Krylov-ROW methods for DAEs of index 1 with applications to viscoelasticity. (English) Zbl 1078.65073 Appl. Numer. Math. 53, No. 2-4, 527-541 (2005). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65L80 65F10 34A09 65L05 74K20 74S05 PDFBibTeX XMLCite \textit{J. Wensch}, Appl. Numer. Math. 53, No. 2--4, 527--541 (2005; Zbl 1078.65073) Full Text: DOI
Gerstmayr, J. The absolute coordinate formulation with elasto-plastic deformations. (English) Zbl 1174.70308 Multibody Syst. Dyn. 12, No. 4, 363-383 (2004). MSC: 70E55 74S05 PDFBibTeX XMLCite \textit{J. Gerstmayr}, Multibody Syst. Dyn. 12, No. 4, 363--383 (2004; Zbl 1174.70308) Full Text: DOI
Danilin, A. N.; Kuznetsov, E. B.; Shalashilin, V. I. Implicit algorithms of solving the Cauchy problem for equations of mechanical systems dynamics. (Russian, English) Zbl 1150.70322 Prikl. Mat. Mekh. 67, No. 6, 1051-1057 (2003); translation in J. Appl. Math. Mech. 67, No. 6, 921-935 (2003). Reviewer: A. A. Martynyuk (Kyïv) MSC: 70F10 74K05 70E55 PDFBibTeX XMLCite \textit{A. N. Danilin} et al., Prikl. Mat. Mekh. 67, No. 6, 1051--1057 (2003; Zbl 1150.70322); translation in J. Appl. Math. Mech. 67, No. 6, 921--935 (2003) Full Text: DOI
Leine, R. I.; Glocker, Ch. A set-valued force law for spatial Coulomb–Contensou friction. (English) Zbl 1038.74513 Eur. J. Mech., A, Solids 22, No. 2, 193-216 (2003). MSC: 74A55 74M10 PDFBibTeX XMLCite \textit{R. I. Leine} and \textit{Ch. Glocker}, Eur. J. Mech., A, Solids 22, No. 2, 193--216 (2003; Zbl 1038.74513) Full Text: DOI
Meijaard, J. P. Application of Runge–Kutta–Rosenbrock methods to the analysis of flexible multibody systems. (English) Zbl 1040.70001 Multibody Syst. Dyn. 10, No. 3, 263-288 (2003). Reviewer: Ronald L. Huston (Cincinnati) MSC: 70-08 70E55 74K99 PDFBibTeX XMLCite \textit{J. P. Meijaard}, Multibody Syst. Dyn. 10, No. 3, 263--288 (2003; Zbl 1040.70001) Full Text: DOI
Batista, D.; Royis, P.; Doanh, T. Time-integration of a hypoplastic constitutive equation in finite element modelling. (English) Zbl 1129.74338 Math. Comput. Modelling 37, No. 5-6, 615-621 (2003). MSC: 74S05 PDFBibTeX XMLCite \textit{D. Batista} et al., Math. Comput. Modelling 37, No. 5--6, 615--621 (2003; Zbl 1129.74338) Full Text: DOI
Bauchau, Olivier A.; Bottasso, Carlo L.; Trainelli, Lorenzo Robust integration schemes for flexible multibody systems. (English) Zbl 1083.74538 Comput. Methods Appl. Mech. Eng. 192, No. 3-4, 395-420 (2003). MSC: 74H15 74K99 PDFBibTeX XMLCite \textit{O. A. Bauchau} et al., Comput. Methods Appl. Mech. Eng. 192, No. 3--4, 395--420 (2003; Zbl 1083.74538) Full Text: DOI
Romero, Ignacio On the stability and convergence of fully discrete solutions in linear elastodynamics. (English) Zbl 1039.74050 Comput. Methods Appl. Mech. Eng. 191, No. 35, 3857-3882 (2002). MSC: 74S05 74S20 74H15 65M12 PDFBibTeX XMLCite \textit{I. Romero}, Comput. Methods Appl. Mech. Eng. 191, No. 35, 3857--3882 (2002; Zbl 1039.74050) Full Text: DOI
Armero, F.; Romero, I. On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods. (English) Zbl 1068.74022 Comput. Methods Appl. Mech. Eng. 190, No. 51-52, 6783-6824 (2001). MSC: 74H15 74S20 74S05 74B20 PDFBibTeX XMLCite \textit{F. Armero} and \textit{I. Romero}, Comput. Methods Appl. Mech. Eng. 190, No. 51--52, 6783--6824 (2001; Zbl 1068.74022) Full Text: DOI
Jelenić, G.; Crisfield, M. A. Dynamic analysis of 3D beams with joints in the presence of large rotations. (English) Zbl 0990.74067 Comput. Methods Appl. Mech. Eng. 190, No. 32-33, 4195-4230 (2001). MSC: 74S05 74K10 74H15 65P10 PDFBibTeX XMLCite \textit{G. Jelenić} and \textit{M. A. Crisfield}, Comput. Methods Appl. Mech. Eng. 190, No. 32--33, 4195--4230 (2001; Zbl 0990.74067) Full Text: DOI
Borri, Marco; Bottasso, Carlo L.; Trainelli, Lorenzo Integration of elastic multibody systems by invariant conserving/dissipating algorithms. I: Formulation. II: Numerical schemes and applications. (English) Zbl 0990.74024 Comput. Methods Appl. Mech. Eng. 190, No. 29-30, 3669-3733 (2001). MSC: 74H15 74S20 74K99 PDFBibTeX XMLCite \textit{M. Borri} et al., Comput. Methods Appl. Mech. Eng. 190, No. 29--30, 3669--3733 (2001; Zbl 0990.74024) Full Text: DOI
Armero, F.; Romero, I. On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics. (English) Zbl 1008.74035 Comput. Methods Appl. Mech. Eng. 190, No. 20-21, 2603-2649 (2001). Reviewer: Irina Alexandrovna Bolgrabskaya (Donetsk) MSC: 74H15 74S05 PDFBibTeX XMLCite \textit{F. Armero} and \textit{I. Romero}, Comput. Methods Appl. Mech. Eng. 190, No. 20--21, 2603--2649 (2001; Zbl 1008.74035) Full Text: DOI
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T. Spatially complex localisation in twisted elastic rods constrained to lie in the plane. (English) Zbl 0962.74033 J. Mech. Phys. Solids 47, No. 1, 59-79 (1999). MSC: 74K10 74G60 74E10 PDFBibTeX XMLCite \textit{G. H. M. van der Heijden} et al., J. Mech. Phys. Solids 47, No. 1, 59--79 (1999; Zbl 0962.74033) Full Text: DOI
Bottasso, Carlo L.; Borri, Marco Integrating finite rotations. (English) Zbl 0961.74029 Comput. Methods Appl. Mech. Eng. 164, No. 3-4, 307-331 (1998). MSC: 74H15 70-08 70E99 74K10 PDFBibTeX XMLCite \textit{C. L. Bottasso} and \textit{M. Borri}, Comput. Methods Appl. Mech. Eng. 164, No. 3--4, 307--331 (1998; Zbl 0961.74029) Full Text: DOI
Yen, Jeng; Petzold, Linda; Raha, Soumyendu A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. (English) Zbl 0949.70006 Comput. Methods Appl. Mech. Eng. 158, No. 3-4, 341-355 (1998). MSC: 70-08 70E55 74H15 PDFBibTeX XMLCite \textit{J. Yen} et al., Comput. Methods Appl. Mech. Eng. 158, No. 3--4, 341--355 (1998; Zbl 0949.70006) Full Text: DOI
Arnold, M. Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2. (English) Zbl 0924.65068 BIT 38, No. 3, 415-438 (1998). Reviewer: J.B.Butler jun.(Portland) MSC: 65L06 34A09 34A34 65L05 74H45 PDFBibTeX XMLCite \textit{M. Arnold}, BIT 38, No. 3, 415--438 (1998; Zbl 0924.65068) Full Text: DOI
Fisette, P.; Johnson, D. A.; Samin, J. C. A fully symbolic generation of the equations of motion of multibody systems containing flexible beams. (English) Zbl 0895.70001 Comput. Methods Appl. Mech. Eng. 142, No. 1-2, 123-152 (1997). MSC: 70-08 70E15 74H45 68W30 PDFBibTeX XMLCite \textit{P. Fisette} et al., Comput. Methods Appl. Mech. Eng. 142, No. 1--2, 123--152 (1997; Zbl 0895.70001) Full Text: DOI
Owren, B.; Simonsen, H. H. Alternative integration methods for problems in structural dynamics. (English) Zbl 0851.73076 Comput. Methods Appl. Mech. Eng. 122, No. 1-2, 1-10 (1995). MSC: 74S20 74H45 70-08 PDFBibTeX XMLCite \textit{B. Owren} and \textit{H. H. Simonsen}, Comput. Methods Appl. Mech. Eng. 122, No. 1--2, 1--10 (1995; Zbl 0851.73076) Full Text: DOI
Piché, Robert An \(L\)-stable Rosenbrock method for step-by-step time integration in structural dynamics. (English) Zbl 1067.74596 Comput. Methods Appl. Mech. Eng. 126, No. 3-4, 343-354 (1995). MSC: 74S20 74H15 65M12 PDFBibTeX XMLCite \textit{R. Piché}, Comput. Methods Appl. Mech. Eng. 126, No. 3--4, 343--354 (1995; Zbl 1067.74596) Full Text: DOI
Hulbert, Gregory M. A unified set of single-step asymptotic annihilation algorithms for structural dynamics. (English) Zbl 0849.73067 Comput. Methods Appl. Mech. Eng. 113, No. 1-2, 1-9 (1994). MSC: 74S05 74H45 PDFBibTeX XMLCite \textit{G. M. Hulbert}, Comput. Methods Appl. Mech. Eng. 113, No. 1--2, 1--9 (1994; Zbl 0849.73067) Full Text: DOI Link
Mamiya, E. N.; Simo, J. C. Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case. (English) Zbl 0818.73013 J. Elasticity 35, No. 1-3, 175-211 (1994). MSC: 74B20 74K10 74S30 PDFBibTeX XMLCite \textit{E. N. Mamiya} and \textit{J. C. Simo}, J. Elasticity 35, No. 1--3, 175--211 (1994; Zbl 0818.73013) Full Text: DOI