Benítez, M.; Bermúdez, A.; Fontán, P. Non-Eulerian Newmark methods: a powerful tool for free-boundary continuum mechanics problems. (English) Zbl 1440.65120 J. Sci. Comput. 83, No. 3, Paper No. 44, 27 p. (2020). MSC: 65M25 65M60 65N30 76D05 35Q30 PDF BibTeX XML Cite \textit{M. Benítez} et al., J. Sci. Comput. 83, No. 3, Paper No. 44, 27 p. (2020; Zbl 1440.65120) Full Text: DOI OpenURL
Benítez, Marta; Bermúdez, Alfredo; Fontán, Pedro A second-order linear Newmark method for Lagrangian Navier-Stokes equations. (English) Zbl 1417.35232 Doubova, Anna (ed.) et al., Recent advances in PDEs: analysis, numerics and control. In honor of Prof. Fernández-Cara’s 60th birthday. Based on talks given at the workshop, Sevilla, Spain, January 25–27, 2017. Cham: Springer. SEMA SIMAI Springer Ser. 17, 33-59 (2018). MSC: 35R35 35Q30 76D05 65M60 76M10 65M06 PDF BibTeX XML Cite \textit{M. Benítez} et al., SEMA SIMAI Springer Ser. 17, 33--59 (2018; Zbl 1417.35232) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Karimi} and \textit{K. B. Nakshatrala}, J. Comput. Phys. 273, 671--705 (2014; Zbl 1351.74167) Full Text: DOI arXiv OpenURL
Amsallem, D.; Hetmaniuk, U. Error estimates for Galerkin reduced-order models of the semi-discrete wave equation. (English) Zbl 1290.65087 ESAIM, Math. Model. Numer. Anal. 48, No. 1, 135-163 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M15 65M60 65M20 65M12 35L05 PDF BibTeX XML Cite \textit{D. Amsallem} and \textit{U. Hetmaniuk}, ESAIM, Math. Model. Numer. Anal. 48, No. 1, 135--163 (2014; Zbl 1290.65087) Full Text: DOI OpenURL
Ghanem, A.; Torkhani, M.; Mahjoubi, N.; Baranger, T. N.; Combescure, A. Arlequin framework for multi-model, multi-time scale and heterogeneous time integrators for structural transient dynamics. (English) Zbl 1297.74118 Comput. Methods Appl. Mech. Eng. 254, 292-308 (2013). MSC: 74S05 65M20 65L05 PDF BibTeX XML Cite \textit{A. Ghanem} et al., Comput. Methods Appl. Mech. Eng. 254, 292--308 (2013; Zbl 1297.74118) Full Text: DOI OpenURL
Wang, Wenshuai; Li, Xiaofan The SEM based on symplectical schemes and its application in modeling the wave propagation in transversely isotropic media. (Chinese. English summary) Zbl 1289.65244 J. Numer. Methods Comput. Appl. 34, No. 1, 20-30 (2013). MSC: 65M70 65P10 35L05 65M06 65M20 PDF BibTeX XML Cite \textit{W. Wang} and \textit{X. Li}, J. Numer. Methods Comput. Appl. 34, No. 1, 20--30 (2013; Zbl 1289.65244) OpenURL
Carstens, Sandra; Kuhl, Detlef Higher-order accurate implicit time integration schemes for transport problems. (English) Zbl 1293.76095 Arch. Appl. Mech. 82, No. 8, 1007-1039 (2012). MSC: 76M20 76R99 PDF BibTeX XML Cite \textit{S. Carstens} and \textit{D. Kuhl}, Arch. Appl. Mech. 82, No. 8, 1007--1039 (2012; Zbl 1293.76095) Full Text: DOI OpenURL
Bottasso, Carlo L.; Dopico, Daniel; Trainelli, Lorenzo On the optimal scaling of index three DAEs in multibody dynamics. (English) Zbl 1136.70001 Multibody Syst. Dyn. 19, No. 1-2, 3-20 (2008). MSC: 70-08 70E55 PDF BibTeX XML Cite \textit{C. L. Bottasso} et al., Multibody Syst. Dyn. 19, No. 1--2, 3--20 (2008; Zbl 1136.70001) Full Text: DOI OpenURL
Delaplace, Arnaud; Ibrahimbegovic, Adnan Performance of time-stepping schemes for discrete models in fracture dynamic analysis. (English) Zbl 1112.74065 Int. J. Numer. Methods Eng. 65, No. 9, 1527-1544 (2006). MSC: 74S20 74R10 PDF BibTeX XML Cite \textit{A. Delaplace} and \textit{A. Ibrahimbegovic}, Int. J. Numer. Methods Eng. 65, No. 9, 1527--1544 (2006; Zbl 1112.74065) Full Text: DOI OpenURL
Pavarino, Luca F.; Zampieri, Elena Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves. (English) Zbl 1115.74027 J. Sci. Comput. 27, No. 1-3, 51-73 (2006). MSC: 74H15 65N35 65N55 74B05 74J05 PDF BibTeX XML Cite \textit{L. F. Pavarino} and \textit{E. Zampieri}, J. Sci. Comput. 27, No. 1--3, 51--73 (2006; Zbl 1115.74027) Full Text: DOI OpenURL
Zampieri, Elena; Pavarino, Luca F. Approximation of acoustic waves by explicit Newmark’s schemes and spectral element methods. (English) Zbl 1079.65093 J. Comput. Appl. Math. 185, No. 2, 308-325 (2006). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M06 65M70 65M12 35L05 76Q05 76M20 76M22 PDF BibTeX XML Cite \textit{E. Zampieri} and \textit{L. F. Pavarino}, J. Comput. Appl. Math. 185, No. 2, 308--325 (2006; Zbl 1079.65093) Full Text: DOI OpenURL
Mäkinen, Jari Critical study of Newmark scheme on manifold of finite rotations. (English) Zbl 1002.70003 Comput. Methods Appl. Mech. Eng. 191, No. 8-10, 817-828 (2001). MSC: 70-08 70E17 65L06 PDF BibTeX XML Cite \textit{J. Mäkinen}, Comput. Methods Appl. Mech. Eng. 191, No. 8--10, 817--828 (2001; Zbl 1002.70003) Full Text: DOI OpenURL
Ruge, P. A priori local error estimation with adaptive time-stepping. (English) Zbl 0952.74026 Commun. Numer. Methods Eng. 15, No. 7, 479-491 (1999). MSC: 74H15 74H45 74S30 65M15 PDF BibTeX XML Cite \textit{P. Ruge}, Commun. Numer. Methods Eng. 15, No. 7, 479--491 (1999; Zbl 0952.74026) Full Text: DOI OpenURL
Liu, Wing Kam; Chen, Yijung; Uras, R. Aziz; Chang, Chin Tang Generalized multiple scale reproducing kernel particle methods. (English) Zbl 0896.76069 Comput. Methods Appl. Mech. Eng. 139, No. 1-4, 91-157 (1996). MSC: 76M25 74S30 PDF BibTeX XML Cite \textit{W. K. Liu} et al., Comput. Methods Appl. Mech. Eng. 139, No. 1--4, 91--157 (1996; Zbl 0896.76069) Full Text: DOI OpenURL
Lee, K. A numerical solution for dynamic contact problems satisfying the velocity and acceleration compatibilities on the contact surface. (English) Zbl 0819.73075 Comput. Mech. 15, No. 3, 189-200 (1994). MSC: 74S30 74M20 74A55 74M15 PDF BibTeX XML Cite \textit{K. Lee}, Comput. Mech. 15, No. 3, 189--200 (1994; Zbl 0819.73075) Full Text: DOI OpenURL
Modaressi, H.; Foerster, E. About numerical stability and dispersion in saturated porous media under dynamic loading. (English) Zbl 0877.76045 Morgan, K. (ed.) et al., Finite elements in fluids: new trends and applications. Proceedings of the 8th international conference, Barcelona, Spain, September 20-23, 1993. Part II. Barcelona: Centro Internacional de Métodos Numéricos en Ingenería. 836-845 (1993). MSC: 76M20 76M10 76S05 65M12 PDF BibTeX XML Cite \textit{H. Modaressi} and \textit{E. Foerster}, in: Finite elements in fluids: new trends and applications. Proceedings of the 8th international conference, Barcelona, Spain, September 20-23, 1993. Part II. Barcelona: Centro Internacional de Métodos Numéricos en Ingenería; Swansea: Pineridge Press. 836--845 (1993; Zbl 0877.76045) OpenURL
Zeng, L. F.; Wiberg, N.-E.; Bernspång, L. An adaptive finite element procedure for 2D dynamic transient analysis using direct integration. (English) Zbl 0760.73071 Int. J. Numer. Methods Eng. 34, No. 3, 997-1014 (1992). MSC: 74S05 74B05 65N30 PDF BibTeX XML Cite \textit{L. F. Zeng} et al., Int. J. Numer. Methods Eng. 34, No. 3, 997--1014 (1992; Zbl 0760.73071) Full Text: DOI OpenURL
Kant, T.; Varaiya, J. H.; Arora, C. P. Finite element transient analysis of composite and sandwhich plates based on a refined theory and implicit time integration schemes. (English) Zbl 0715.73073 Comput. Struct. 36, No. 3, 401-420 (1990). MSC: 74S05 74E30 74K20 65D30 PDF BibTeX XML Cite \textit{T. Kant} et al., Comput. Struct. 36, No. 3, 401--420 (1990; Zbl 0715.73073) Full Text: DOI OpenURL
Tamma, Kumar K.; Namburu, Raju R. Applicability and evaluation of an implicit self-starting unconditionally stable methodology for the dynamics of structures. (English) Zbl 0708.73070 Comput. Struct. 34, No. 6, 835-842 (1990). MSC: 74S05 74H45 PDF BibTeX XML Cite \textit{K. K. Tamma} and \textit{R. R. Namburu}, Comput. Struct. 34, No. 6, 835--842 (1990; Zbl 0708.73070) Full Text: DOI OpenURL
Tanaka, Masataka; Matsumoto, Toshiro A new boundary element formulation for transient elastodynamic problems with damping based on time-stepping schemes. (English) Zbl 0719.73041 Advances in boundary elements, Vol.3: Stress analysis, Proc. 11th Int. Conf., Cambridge/MA 1989, Boundary Elem. 11, Vol. 3, 331-342 (1989). MSC: 74S15 PDF BibTeX XML OpenURL
Dokainish, M. A.; Subbaraj, K. A survey of direct time-integration methods in computational structural dynamics. I: Explicit methods. (English) Zbl 0702.73072 Comput. Struct. 32, No. 6, 1371-1386 (1989). MSC: 74S20 74S30 74S05 74H45 PDF BibTeX XML Cite \textit{M. A. Dokainish} and \textit{K. Subbaraj}, Comput. Struct. 32, No. 6, 1371--1386 (1989; Zbl 0702.73072) Full Text: DOI OpenURL
Chen, W.-H.; Yeh, J.-T. A new finite element technique for dynamic contact problems with friction. (English) Zbl 0678.73082 J. Méc. Théor. Appl. 7, Suppl. 1, 161-175 (1988). MSC: 74A55 74M15 74S05 74S30 PDF BibTeX XML Cite \textit{W. H. Chen} and \textit{J. T. Yeh}, J. Méc. Théor. Appl. 7, 161--175 (1988; Zbl 0678.73082) OpenURL
Reddy, J. N. On the solutions to forced motions of rectangular composite plates. (English) Zbl 0486.73062 J. Appl. Mech. 49, 403-408 (1982). MSC: 74E30 74K20 65D30 PDF BibTeX XML Cite \textit{J. N. Reddy}, J. Appl. Mech. 49, 403--408 (1982; Zbl 0486.73062) Full Text: DOI OpenURL
Babu, P. V. Thangam; Reddy, D. V. A numerical integration scheme for solving coupled equations of fluid- structure interaction systems. (English) Zbl 0492.73092 Numerical methods for coupled problems, Proc. int. Conf., Swansea 1981, 388-397 (1981). MSC: 74S30 74F10 74H50 65D05 PDF BibTeX XML OpenURL