Krüger, Jan Christoph; Kranz, Micah; Schmidt, Timo; Seifried, Robert; Kriegesmann, Benedikt An efficient and non-intrusive approach for robust design optimization with the first-order second-moment method. (English) Zbl 07725682 Comput. Methods Appl. Mech. Eng. 414, Article ID 116136, 27 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{J. C. Krüger} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116136, 27 p. (2023; Zbl 07725682) Full Text: DOI
Li, Weican; Moutsanidis, Georgios; Behzadinasab, Masoud; Hillman, Michael; Bazilevs, Yuri Reduced quadrature for finite element and isogeometric methods in nonlinear solids. (English) Zbl 1507.74490 Comput. Methods Appl. Mech. Eng. 399, Article ID 115389, 29 p. (2022). MSC: 74S05 65D32 65M60 74S22 PDFBibTeX XMLCite \textit{W. Li} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115389, 29 p. (2022; Zbl 1507.74490) Full Text: DOI
Chiu, Pao-Hsiung; Wong, Jian Cheng; Ooi, Chinchun; Dao, My Ha; Ong, Yew-Soon CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method. (English) Zbl 1507.65204 Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{P.-H. Chiu} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022; Zbl 1507.65204) Full Text: DOI arXiv
Blaszczyk, Mischa; Jantos, Dustin Roman; Junker, Philipp Application of Taylor series combined with the weighted least square method to thermodynamic topology optimization. (English) Zbl 1507.74289 Comput. Methods Appl. Mech. Eng. 393, Article ID 114698, 18 p. (2022). MSC: 74P15 74S05 65N30 74F05 PDFBibTeX XMLCite \textit{M. Blaszczyk} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114698, 18 p. (2022; Zbl 1507.74289) Full Text: DOI
Aguirre-Mesa, Andres M.; Garcia, Manuel J.; Aristizabal, Mauricio; Wagner, David; Ramirez-Tamayo, Daniel; Montoya, Arturo; Millwater, Harry A block forward substitution method for solving the hypercomplex finite element system of equations. (English) Zbl 1507.65167 Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021). MSC: 65M50 65N50 PDFBibTeX XMLCite \textit{A. M. Aguirre-Mesa} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021; Zbl 1507.65167) Full Text: DOI
Qiu, Zhiping; Jiang, Nan An ellipsoidal Newton’s iteration method of nonlinear structural systems with uncertain-but-bounded parameters. (English) Zbl 1506.65195 Comput. Methods Appl. Mech. Eng. 373, Article ID 113501, 23 p. (2021). MSC: 65N22 70K25 PDFBibTeX XMLCite \textit{Z. Qiu} and \textit{N. Jiang}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113501, 23 p. (2021; Zbl 1506.65195) Full Text: DOI
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. Non-intrusive reduced order modelling of the Navier-Stokes equations. (English) Zbl 1423.76287 Comput. Methods Appl. Mech. Eng. 293, 522-541 (2015). MSC: 76M10 65M60 76D05 35Q30 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 293, 522--541 (2015; Zbl 1423.76287) Full Text: DOI
Sun, Lu; Pan, Yiyong; Gu, Wenjun High-order thin layer method for viscoelastic wave propagation in stratified media. (English) Zbl 1286.74053 Comput. Methods Appl. Mech. Eng. 257, 65-76 (2013). MSC: 74J05 74L05 PDFBibTeX XMLCite \textit{L. Sun} et al., Comput. Methods Appl. Mech. Eng. 257, 65--76 (2013; Zbl 1286.74053) Full Text: DOI
Massa, F.; Tison, T.; Lallemand, B.; Cazier, O. Structural modal reanalysis methods using homotopy perturbation and projection techniques. (English) Zbl 1230.74229 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 2971-2982 (2011). MSC: 74S30 74S05 74H45 74K20 PDFBibTeX XMLCite \textit{F. Massa} et al., Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 2971--2982 (2011; Zbl 1230.74229) Full Text: DOI
Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method. (English) Zbl 1068.76062 Comput. Methods Appl. Mech. Eng. 193, No. 9-11, 727-744 (2004). Reviewer: Willi Schönauer (Karlsruhe) MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{H. Ding} et al., Comput. Methods Appl. Mech. Eng. 193, No. 9--11, 727--744 (2004; Zbl 1068.76062) Full Text: DOI
Zhou, D.; Cheung, Y. K. The free vibration of a type of tapered beams. (English) Zbl 0979.74029 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 203-216 (2000). Reviewer: Yuri N.Sankin (Ul’yanovsk) MSC: 74H45 74H15 74K10 PDFBibTeX XMLCite \textit{D. Zhou} and \textit{Y. K. Cheung}, Comput. Methods Appl. Mech. Eng. 188, No. 1--3, 203--216 (2000; Zbl 0979.74029) Full Text: DOI
Roy, Subrata Combining Galerkin matrix perturbation with Taylor weak statement algorithms. (English) Zbl 0987.76078 Comput. Methods Appl. Mech. Eng. 184, No. 1, 87-98 (2000). MSC: 76M25 76R99 PDFBibTeX XMLCite \textit{S. Roy}, Comput. Methods Appl. Mech. Eng. 184, No. 1, 87--98 (2000; Zbl 0987.76078) Full Text: DOI
Baker, A. J.; Iannelli, J. S.; Roy, Subrata; Chaffin, D. J. On some recent adventures into improved finite element CFD methods for convective transport. (English) Zbl 0920.76043 Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 27-42 (1998). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{A. J. Baker} et al., Comput. Methods Appl. Mech. Eng. 151, No. 1--2, 27--42 (1998; Zbl 0920.76043) Full Text: DOI
Ramos, J. I.; García-López, C. M. Linearized \(\Theta\)-methods. I: Ordinary differential equations. (English) Zbl 0859.65069 Comput. Methods Appl. Mech. Eng. 129, No. 3, 255-269 (1996). MSC: 65L05 65L60 34A34 35G10 35K25 65L20 65M20 PDFBibTeX XMLCite \textit{J. I. Ramos} and \textit{C. M. García-López}, Comput. Methods Appl. Mech. Eng. 129, No. 3, 255--269 (1996; Zbl 0859.65069) Full Text: DOI
Roy, Subrata; Baker, A. J. A weak statement perturbation CFD algorithm with high-order phase accuracy for hyperbolic problems. (English) Zbl 0887.76058 Comput. Methods Appl. Mech. Eng. 131, No. 3-4, 209-232 (1996). MSC: 76M25 35L65 PDFBibTeX XMLCite \textit{S. Roy} and \textit{A. J. Baker}, Comput. Methods Appl. Mech. Eng. 131, No. 3--4, 209--232 (1996; Zbl 0887.76058) Full Text: DOI
Nakamura, Tsuneyoshi; Ohsaki, Makoto A natural generator of optimum topology of plane trusses for specified fundamental frequency. (English) Zbl 0748.73008 Comput. Methods Appl. Mech. Eng. 94, No. 1, 113-129 (1992). MSC: 74P99 74S30 74P10 65K10 PDFBibTeX XMLCite \textit{T. Nakamura} and \textit{M. Ohsaki}, Comput. Methods Appl. Mech. Eng. 94, No. 1, 113--129 (1992; Zbl 0748.73008) Full Text: DOI
Jacquotte, Olivier-Pierre; Coussement, Grégory Structured mesh adaption: Space accuracy and interpolation methods. (English) Zbl 0777.76074 Comput. Methods Appl. Mech. Eng. 101, No. 1-3, 397-432 (1992). MSC: 76M99 65M50 65N50 76N10 PDFBibTeX XMLCite \textit{O.-P. Jacquotte} and \textit{G. Coussement}, Comput. Methods Appl. Mech. Eng. 101, No. 1--3, 397--432 (1992; Zbl 0777.76074) Full Text: DOI
Donea, J.; Quartapelle, L. An introduction to finite element methods for transient advection problems. (English) Zbl 0772.76035 Comput. Methods Appl. Mech. Eng. 95, No. 2, 169-203 (1992). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{J. Donea} and \textit{L. Quartapelle}, Comput. Methods Appl. Mech. Eng. 95, No. 2, 169--203 (1992; Zbl 0772.76035) Full Text: DOI
Kondo, Norio; Tosaka, Nobuyoshi; Nishimura, Toshio Third-order upwind finite element formulations for incompressible viscous flow problems. (English) Zbl 0747.76066 Comput. Methods Appl. Mech. Eng. 93, No. 2, 169-187 (1991). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{N. Kondo} et al., Comput. Methods Appl. Mech. Eng. 93, No. 2, 169--187 (1991; Zbl 0747.76066) Full Text: DOI
Auerbach, T.; Mennig, J. 3-point Hermite integration of differential equations. (English) Zbl 0698.65048 Comput. Methods Appl. Mech. Eng. 76, No. 1, 1-15 (1989). Reviewer: J.H.Verner MSC: 65L05 65L20 34A30 PDFBibTeX XMLCite \textit{T. Auerbach} and \textit{J. Mennig}, Comput. Methods Appl. Mech. Eng. 76, No. 1, 1--15 (1989; Zbl 0698.65048) Full Text: DOI
Tamma, Kumar K.; Namburu, Raju R. A new finite element based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics. (English) Zbl 0674.73050 Comput. Methods Appl. Mech. Eng. 71, No. 2, 137-150 (1988). MSC: 74S05 74H45 PDFBibTeX XMLCite \textit{K. K. Tamma} and \textit{R. R. Namburu}, Comput. Methods Appl. Mech. Eng. 71, No. 2, 137--150 (1988; Zbl 0674.73050) Full Text: DOI
Nakamura, Tsuneyoshi; Ohsaki, Makoto Sequential optimal truss generator for frequency ranges. (English) Zbl 0633.73096 Comput. Methods Appl. Mech. Eng. 67, No. 2, 189-209 (1988). MSC: 74P99 65K10 74S30 49K40 PDFBibTeX XMLCite \textit{T. Nakamura} and \textit{M. Ohsaki}, Comput. Methods Appl. Mech. Eng. 67, No. 2, 189--209 (1988; Zbl 0633.73096) Full Text: DOI
Bradley, D.; Missaghi, M.; Chin, S. B. A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows. (English) Zbl 0631.76100 Comput. Methods Appl. Mech. Eng. 69, No. 2, 131-151 (1988). MSC: 76R05 76M99 PDFBibTeX XMLCite \textit{D. Bradley} et al., Comput. Methods Appl. Mech. Eng. 69, No. 2, 131--151 (1988; Zbl 0631.76100) Full Text: DOI
Renwei, Xia; Peng, Liu Structural optimization based on second-order approximations of functions and dual theory. (English) Zbl 0624.73108 Comput. Methods Appl. Mech. Eng. 65, 101-114 (1987). MSC: 74P99 74S30 49M37 65K05 74S05 PDFBibTeX XMLCite \textit{X. Renwei} and \textit{L. Peng}, Comput. Methods Appl. Mech. Eng. 65, 101--114 (1987; Zbl 0624.73108) Full Text: DOI
Selmin, V.; Donea, J.; Ouartapelle, L. Finite element methods for nonlinear advection. (English) Zbl 0573.76005 Comput. Methods Appl. Mech. Eng. 52, 817-845 (1985). MSC: 76M99 PDFBibTeX XMLCite \textit{V. Selmin} et al., Comput. Methods Appl. Mech. Eng. 52, 817--845 (1985; Zbl 0573.76005) Full Text: DOI
Jawed, Azhar H.; Morris, A. J. Higher-order updates for dynamic responses in structural optimization. (English) Zbl 0544.73116 Comput. Methods Appl. Mech. Eng. 49, No. 2, 175-201 (1985). MSC: 74P99 74H45 PDFBibTeX XMLCite \textit{A. H. Jawed} and \textit{A. J. Morris}, Comput. Methods Appl. Mech. Eng. 49, 175--201 (1985; Zbl 0544.73116) Full Text: DOI
Kennon, Stephen R.; Dulikravich, George S. Optimum acceleration factors for iterative solution of linear and nonlinear differential systems. (English) Zbl 0553.65068 Comput. Methods Appl. Mech. Eng. 47, 357-367 (1984). MSC: 65N22 65F10 35J25 35J65 PDFBibTeX XMLCite \textit{S. R. Kennon} and \textit{G. S. Dulikravich}, Comput. Methods Appl. Mech. Eng. 47, 357--367 (1984; Zbl 0553.65068) Full Text: DOI
Kirsch, U. Approximate structural reanalysis based on series expansion. (English) Zbl 0478.73083 Comput. Methods Appl. Mech. Eng. 26, 205-223 (1981). MSC: 74P99 65K10 41A58 PDFBibTeX XMLCite \textit{U. Kirsch}, Comput. Methods Appl. Mech. Eng. 26, 205--223 (1981; Zbl 0478.73083) Full Text: DOI
Hanson, James N. Computer aided symbolic solution of multi-point boundary value problems occurring in physics and engineering. (English) Zbl 0465.65046 Comput. Methods Appl. Mech. Eng. 25, 149-178 (1981). MSC: 65L10 34B10 PDFBibTeX XMLCite \textit{J. N. Hanson}, Comput. Methods Appl. Mech. Eng. 25, 149--178 (1981; Zbl 0465.65046) Full Text: DOI
Barrett, David; Soler, Alan A finite element model for thick beams. (English) Zbl 0462.73046 Comput. Methods Appl. Mech. Eng. 25, 299-313 (1981). MSC: 74S05 74K10 41A58 49S05 PDFBibTeX XMLCite \textit{D. Barrett} and \textit{A. Soler}, Comput. Methods Appl. Mech. Eng. 25, 299--313 (1981; Zbl 0462.73046) Full Text: DOI