Westermann, Hendrik; Mahnken, Rolf On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. (English) Zbl 07822174 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116545, 22 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{H. Westermann} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116545, 22 p. (2024; Zbl 07822174) Full Text: DOI
Zhang, Jie Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework. (English) Zbl 07822149 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116503, 66 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Zhang}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116503, 66 p. (2024; Zbl 07822149) Full Text: DOI
Aggul, Mustafa; Çıbık, Aytekin; Eroglu, Fatma G.; Kaya, Songül Deferred correction method for the continuous data assimilation model. (English) Zbl 07736351 Comput. Methods Appl. Mech. Eng. 415, Article ID 116259, 18 p. (2023). MSC: 65M60 76D05 35Q30 PDFBibTeX XMLCite \textit{M. Aggul} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116259, 18 p. (2023; Zbl 07736351) Full Text: DOI
Puchaud, P.; Bailly, F.; Begon, M. Direct multiple shooting and direct collocation perform similarly in biomechanical predictive simulations. (English) Zbl 07725700 Comput. Methods Appl. Mech. Eng. 414, Article ID 116162, 20 p. (2023). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{P. Puchaud} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116162, 20 p. (2023; Zbl 07725700) Full Text: DOI arXiv
Dong, Suchuan; Yang, Jielin Numerical approximation of partial differential equations by a variable projection method with artificial neural networks. (English) Zbl 1507.65207 Comput. Methods Appl. Mech. Eng. 398, Article ID 115284, 43 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{S. Dong} and \textit{J. Yang}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115284, 43 p. (2022; Zbl 1507.65207) Full Text: DOI arXiv
Bukač, Martina; Trenchea, Catalin Adaptive, second-order, unconditionally stable partitioned method for fluid-structure interaction. (English) Zbl 1507.74115 Comput. Methods Appl. Mech. Eng. 393, Article ID 114847, 24 p. (2022). MSC: 74F10 PDFBibTeX XMLCite \textit{M. Bukač} and \textit{C. Trenchea}, Comput. Methods Appl. Mech. Eng. 393, Article ID 114847, 24 p. (2022; Zbl 1507.74115) Full Text: DOI
Lai, Wenyu; Gao, Jian; Li, Yihuan; Arroyo, Marino; Shen, Yongxing Phase field modeling of brittle fracture in an Euler=Bernoulli beam accounting for transverse part-through cracks. (English) Zbl 1442.74210 Comput. Methods Appl. Mech. Eng. 361, Article ID 112787, 19 p. (2020). MSC: 74R10 74K10 PDFBibTeX XMLCite \textit{W. Lai} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112787, 19 p. (2020; Zbl 1442.74210) Full Text: DOI
Apostolatos, Andreas; Bletzinger, Kai-Uwe; Wüchner, Roland Weak imposition of constraints for structural membranes in transient geometrically nonlinear isogeometric analysis on multipatch surfaces. (English) Zbl 1441.74104 Comput. Methods Appl. Mech. Eng. 350, 938-994 (2019). MSC: 74K15 74S05 65D07 65M60 PDFBibTeX XMLCite \textit{A. Apostolatos} et al., Comput. Methods Appl. Mech. Eng. 350, 938--994 (2019; Zbl 1441.74104) Full Text: DOI
Versino, Daniele; Bronkhorst, Curt A. A computationally efficient ductile damage model accounting for nucleation and micro-inertia at high triaxialities. (English) Zbl 1440.74039 Comput. Methods Appl. Mech. Eng. 333, 395-420 (2018). MSC: 74A45 65N30 74S05 PDFBibTeX XMLCite \textit{D. Versino} and \textit{C. A. Bronkhorst}, Comput. Methods Appl. Mech. Eng. 333, 395--420 (2018; Zbl 1440.74039) Full Text: DOI Link
Chang, Shuenn-Yih An unusual amplitude growth property and its remedy for structure-dependent integration methods. (English) Zbl 1439.70027 Comput. Methods Appl. Mech. Eng. 330, 498-521 (2018). MSC: 70J50 70J35 78M12 PDFBibTeX XMLCite \textit{S.-Y. Chang}, Comput. Methods Appl. Mech. Eng. 330, 498--521 (2018; Zbl 1439.70027) Full Text: DOI
Yenduri, A.; Ghoshal, R.; Jaiman, R. K. A new partitioned staggered scheme for flexible multibody interactions with strong inertial effects. (English) Zbl 1439.70011 Comput. Methods Appl. Mech. Eng. 315, 316-347 (2017). MSC: 70E55 65L05 65L06 PDFBibTeX XMLCite \textit{A. Yenduri} et al., Comput. Methods Appl. Mech. Eng. 315, 316--347 (2017; Zbl 1439.70011) 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
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
Wang, Hong; Tian, Hao A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model. (English) Zbl 1296.65172 Comput. Methods Appl. Mech. Eng. 273, 19-36 (2014). MSC: 65N35 PDFBibTeX XMLCite \textit{H. Wang} and \textit{H. Tian}, Comput. Methods Appl. Mech. Eng. 273, 19--36 (2014; Zbl 1296.65172) Full Text: DOI
Shen, Yongxing A variational inequality formulation to incorporate the fluid lag in fluid-driven fracture propagation. (English) Zbl 1296.74029 Comput. Methods Appl. Mech. Eng. 272, 17-33 (2014). MSC: 74F10 74R10 49J40 65K15 76S05 PDFBibTeX XMLCite \textit{Y. Shen}, Comput. Methods Appl. Mech. Eng. 272, 17--33 (2014; Zbl 1296.74029) Full Text: DOI
Voormeeren, Sven; Rixen, Daniel Updating component reduction bases of static and vibration modes using preconditioned iterative techniques. (English) Zbl 1297.70013 Comput. Methods Appl. Mech. Eng. 253, 39-59 (2013). MSC: 70J35 70-08 65L15 PDFBibTeX XMLCite \textit{S. Voormeeren} and \textit{D. Rixen}, Comput. Methods Appl. Mech. Eng. 253, 39--59 (2013; Zbl 1297.70013) Full Text: DOI
Zhang, Qinghai Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions. (English) Zbl 1286.65140 Comput. Methods Appl. Mech. Eng. 264, 191-204 (2013). MSC: 65M99 65D07 65D30 PDFBibTeX XMLCite \textit{Q. Zhang}, Comput. Methods Appl. Mech. Eng. 264, 191--204 (2013; Zbl 1286.65140) Full Text: DOI
Mencik, J.-M. Model reduction and perturbation analysis of wave finite element formulations for computing the forced response of coupled elastic systems involving junctions with uncertain eigenfrequencies. (English) Zbl 1230.74192 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 3051-3065 (2011). MSC: 74S05 74J10 74K30 PDFBibTeX XMLCite \textit{J. M. Mencik}, Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 3051--3065 (2011; Zbl 1230.74192) Full Text: DOI HAL
Kim, J.; Tchelepi, H. A.; Juanes, R. Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits. (English) Zbl 1228.74106 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 2094-2116 (2011). MSC: 74S20 74S05 76M12 74F10 76S05 65M12 PDFBibTeX XMLCite \textit{J. Kim} et al., Comput. Methods Appl. Mech. Eng. 200, No. 23--24, 2094--2116 (2011; Zbl 1228.74106) Full Text: DOI
Shutov, A. V.; Kreißig, R. Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration. (English) Zbl 1194.74026 Comput. Methods Appl. Mech. Eng. 197, No. 21-24, 2015-2029 (2008). MSC: 74C20 74S20 74S05 PDFBibTeX XMLCite \textit{A. V. Shutov} and \textit{R. Kreißig}, Comput. Methods Appl. Mech. Eng. 197, No. 21--24, 2015--2029 (2008; Zbl 1194.74026) Full Text: DOI arXiv
Arnold, M.; Fuchs, A.; Führer, C. Efficient corrector iteration for DAE time integration in multibody dynamics. (English) Zbl 1120.70300 Comput. Methods Appl. Mech. Eng. 195, No. 50-51, 6958-6973 (2006). MSC: 70-08 70E55 PDFBibTeX XMLCite \textit{M. Arnold} et al., Comput. Methods Appl. Mech. Eng. 195, No. 50--51, 6958--6973 (2006; Zbl 1120.70300) Full Text: DOI
Graham, E.; Jelenić, G. Conservative single-step time-integration schemes with higher-order accuracy for multi-particle dynamics with local two-point potentials. (English) Zbl 1177.74378 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4917-4952 (2006). MSC: 74S20 70-08 74K10 PDFBibTeX XMLCite \textit{E. Graham} and \textit{G. Jelenić}, Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4917--4952 (2006; Zbl 1177.74378) Full Text: DOI
Bouchon, F.; Clain, S.; Touzani, R. Numerical solution of the free-boundary Bernoulli problem using a level set formulation. (English) Zbl 1090.76048 Comput. Methods Appl. Mech. Eng. 194, No. 36-38, 3934-3948 (2005). MSC: 76M20 76B07 PDFBibTeX XMLCite \textit{F. Bouchon} et al., Comput. Methods Appl. Mech. Eng. 194, No. 36--38, 3934--3948 (2005; Zbl 1090.76048) Full Text: DOI
Fung, T. C. Bi-discontinuous time step integration algorithms. I: First-order equations. (English) Zbl 1083.74540 Comput. Methods Appl. Mech. Eng. 192, No. 3-4, 331-349 (2003). MSC: 74H15 74S99 70-08 PDFBibTeX XMLCite \textit{T. C. Fung}, Comput. Methods Appl. Mech. Eng. 192, No. 3--4, 331--349 (2003; Zbl 1083.74540) Full Text: DOI
Tamma, K. K.; Sha, D.; Zhou, X. Time discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics. (English) Zbl 1083.74543 Comput. Methods Appl. Mech. Eng. 192, No. 3-4, 257-290 (2003). MSC: 74H15 74S99 70-08 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Comput. Methods Appl. Mech. Eng. 192, No. 3--4, 257--290 (2003; Zbl 1083.74543) Full Text: DOI
Mancuso, Massimo; Ubertini, Francesco The Nørsett time integration methodology for finite element transient analysis. (English) Zbl 1010.65036 Comput. Methods Appl. Mech. Eng. 191, No. 29-30, 3297-3327 (2002). MSC: 65M20 35K05 65M60 65M12 65L06 65L60 35L05 PDFBibTeX XMLCite \textit{M. Mancuso} and \textit{F. Ubertini}, Comput. Methods Appl. Mech. Eng. 191, No. 29--30, 3297--3327 (2002; Zbl 1010.65036) Full Text: DOI
Fung, T. C. Stability and accuracy of differential quadrature method in solving dynamic problems. (English) Zbl 0993.65086 Comput. Methods Appl. Mech. Eng. 191, No. 13-14, 1311-1331 (2002). MSC: 65L20 65L05 34A34 65L50 PDFBibTeX XMLCite \textit{T. C. Fung}, Comput. Methods Appl. Mech. Eng. 191, No. 13--14, 1311--1331 (2002; Zbl 0993.65086) Full Text: DOI
Mancuso, Massimo; Ubertini, Francesco Collocation methods with controllable dissipation for linear dynamics. (English) Zbl 0985.70014 Comput. Methods Appl. Mech. Eng. 190, No. 28, 3607-3621 (2001). MSC: 70J50 70-08 65L60 PDFBibTeX XMLCite \textit{M. Mancuso} and \textit{F. Ubertini}, Comput. Methods Appl. Mech. Eng. 190, No. 28, 3607--3621 (2001; Zbl 0985.70014) Full Text: DOI
Tanaka, Masataka; Chen, Wen Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time. (English) Zbl 1048.74050 Comput. Methods Appl. Mech. Eng. 190, No. 18-19, 2331-2347 (2001). MSC: 74S15 74H15 PDFBibTeX XMLCite \textit{M. Tanaka} and \textit{W. Chen}, Comput. Methods Appl. Mech. Eng. 190, No. 18--19, 2331--2347 (2001; Zbl 1048.74050) Full Text: DOI
Fung, T. C. Third order complex-time-step methods for transient analysis. (English) Zbl 0976.65087 Comput. Methods Appl. Mech. Eng. 190, No. 22-23, 2789-2802 (2001). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M20 65L05 65M12 65L06 35K15 PDFBibTeX XMLCite \textit{T. C. Fung}, Comput. Methods Appl. Mech. Eng. 190, No. 22--23, 2789--2802 (2001; Zbl 0976.65087) Full Text: DOI
Fung, T. C. Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations. (English) Zbl 1005.74066 Comput. Methods Appl. Mech. Eng. 190, No. 13-14, 1651-1662 (2000). MSC: 74S05 65L60 PDFBibTeX XMLCite \textit{T. C. Fung}, Comput. Methods Appl. Mech. Eng. 190, No. 13--14, 1651--1662 (2000; Zbl 1005.74066) Full Text: DOI
Singh, Krishna M.; Kalra, Manjeet S. Least-squares finite element schemes in the time domain. (English) Zbl 0980.65079 Comput. Methods Appl. Mech. Eng. 190, No. 1-2, 111-131 (2000). Reviewer: René Lamour (Berlin) MSC: 65L60 65L05 35K15 65L20 65M20 PDFBibTeX XMLCite \textit{K. M. Singh} and \textit{M. S. Kalra}, Comput. Methods Appl. Mech. Eng. 190, No. 1--2, 111--131 (2000; Zbl 0980.65079) Full Text: DOI
Farhat, Charbel; Pierson, Kendall; Lesoinne, Michel The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems. (English) Zbl 0981.74064 Comput. Methods Appl. Mech. Eng. 184, No. 2-4, 333-374 (2000). MSC: 74S05 74K99 65Y05 65N55 PDFBibTeX XMLCite \textit{C. Farhat} et al., Comput. Methods Appl. Mech. Eng. 184, No. 2--4, 333--374 (2000; Zbl 0981.74064) Full Text: DOI
Khan, Liaqat Ali; Liu, Philip L.-F. Numerical analyses of operator-splitting algorithms for the two-dimensional advection-diffusion equation. (English) Zbl 0933.65096 Comput. Methods Appl. Mech. Eng. 152, No. 3-4, 337-359 (1998). Reviewer: Z.Dżygadło (Warszawa) MSC: 65M06 35Q35 35K15 65M12 65M15 PDFBibTeX XMLCite \textit{L. A. Khan} and \textit{P. L. F. Liu}, Comput. Methods Appl. Mech. Eng. 152, No. 3--4, 337--359 (1998; Zbl 0933.65096) Full Text: DOI
Shaw, Simon; Whiteman, J. R. Applications and numerical analysis of partial differential Volterra equations: A brief survey. (English) Zbl 0907.65146 Comput. Methods Appl. Mech. Eng. 150, No. 1-4, 397-409 (1997). MSC: 65R20 45K05 65-02 PDFBibTeX XMLCite \textit{S. Shaw} and \textit{J. R. Whiteman}, Comput. Methods Appl. Mech. Eng. 150, No. 1--4, 397--409 (1997; Zbl 0907.65146) Full Text: DOI
Tamma, K. K.; Zhou, X.; Valasutean, R. Computational algorithms for transient analysis: The burden of weight and consequences towards formalizing discrete numerically assigned [DNA] algorithmic markers: \(W_p\)-family. (English) Zbl 0918.73388 Comput. Methods Appl. Mech. Eng. 149, No. 1-4, 153-188 (1997). MSC: 74S99 74H45 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Comput. Methods Appl. Mech. Eng. 149, No. 1--4, 153--188 (1997; Zbl 0918.73388) Full Text: DOI
Kim, Seung Jo; Cho, Jin Yeon; Kim, Wie Dae From the trapezoidal rule to higher-order accurate and unconditionally stable time-integration method for structural dynamics. (English) Zbl 0924.73303 Comput. Methods Appl. Mech. Eng. 149, No. 1-4, 73-88 (1997). MSC: 74S30 74H45 PDFBibTeX XMLCite \textit{S. J. Kim} et al., Comput. Methods Appl. Mech. Eng. 149, No. 1--4, 73--88 (1997; Zbl 0924.73303) Full Text: DOI
Fung, T. C. Unconditionally stable higher-order Newmark methods by sub-stepping procedure. (English) Zbl 0897.70002 Comput. Methods Appl. Mech. Eng. 147, No. 1-2, 61-84 (1997). MSC: 70-08 70J99 PDFBibTeX XMLCite \textit{T. C. Fung}, Comput. Methods Appl. Mech. Eng. 147, No. 1--2, 61--84 (1997; Zbl 0897.70002) Full Text: DOI
Armero, F.; Simo, J. C. Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations. (English) Zbl 0888.76042 Comput. Methods Appl. Mech. Eng. 131, No. 1-2, 41-90 (1996). MSC: 76M10 76W05 76D05 PDFBibTeX XMLCite \textit{F. Armero} and \textit{J. C. Simo}, Comput. Methods Appl. Mech. Eng. 131, No. 1--2, 41--90 (1996; Zbl 0888.76042) Full Text: DOI
Wille, S.Ø. The prolonged adaptive multigrid method for finite element Navier-Stokes equations. (English) Zbl 0884.76045 Comput. Methods Appl. Mech. Eng. 138, No. 1-4, 227-271 (1996). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{S. Ø. Wille}, Comput. Methods Appl. Mech. Eng. 138, No. 1--4, 227--271 (1996; Zbl 0884.76045) Full Text: DOI
Khan, Liaqat Ali; Liu, Philip L.-F. An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations. (English) Zbl 0862.76060 Comput. Methods Appl. Mech. Eng. 127, No. 1-4, 181-201 (1995). MSC: 76M25 76R99 76V05 PDFBibTeX XMLCite \textit{L. A. Khan} and \textit{P. L. F. Liu}, Comput. Methods Appl. Mech. Eng. 127, No. 1--4, 181--201 (1995; Zbl 0862.76060) 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
Simo, J. C.; Armero, F. Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations. (English) Zbl 0846.76075 Comput. Methods Appl. Mech. Eng. 111, No. 1-2, 111-154 (1994). MSC: 76M25 76D05 76B47 65M12 PDFBibTeX XMLCite \textit{J. C. Simo} and \textit{F. Armero}, Comput. Methods Appl. Mech. Eng. 111, No. 1--2, 111--154 (1994; Zbl 0846.76075) Full Text: DOI
Al-Rabeh, Ala On the computational efficiency of certain upwinding schemes. (English) Zbl 0845.76056 Comput. Methods Appl. Mech. Eng. 109, No. 1-2, 131-141 (1993). MSC: 76M20 76R99 PDFBibTeX XMLCite \textit{A. Al-Rabeh}, Comput. Methods Appl. Mech. Eng. 109, No. 1--2, 131--141 (1993; Zbl 0845.76056) Full Text: DOI
Papadrakakis, M.; Bitoulas, N. Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems. (English) Zbl 0845.73072 Comput. Methods Appl. Mech. Eng. 109, No. 3-4, 219-232 (1993). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{M. Papadrakakis} and \textit{N. Bitoulas}, Comput. Methods Appl. Mech. Eng. 109, No. 3--4, 219--232 (1993; Zbl 0845.73072) Full Text: DOI
Simo, J. C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. (English) Zbl 0764.73089 Comput. Methods Appl. Mech. Eng. 99, No. 1, 61-112 (1992). MSC: 74S05 74S30 74C15 74C20 74C99 PDFBibTeX XMLCite \textit{J. C. Simo}, Comput. Methods Appl. Mech. Eng. 99, No. 1, 61--112 (1992; Zbl 0764.73089) Full Text: DOI
Simo, J. C.; Tarnow, N.; Wong, K. K. Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics. (English) Zbl 0764.73096 Comput. Methods Appl. Mech. Eng. 100, No. 1, 63-116 (1992). MSC: 74S20 74H45 70-08 PDFBibTeX XMLCite \textit{J. C. Simo} et al., Comput. Methods Appl. Mech. Eng. 100, No. 1, 63--116 (1992; Zbl 0764.73096) Full Text: DOI
Bayo, Eduardo; García de Jalón, Javier; Avello, Alejo; Cuadrado, Javier An efficient computational method for real time multibody dynamic simulation in fully Cartesian coordinates. (English) Zbl 0850.70029 Comput. Methods Appl. Mech. Eng. 92, No. 3, 377-395 (1991). MSC: 70B15 70E55 70H03 70-08 PDFBibTeX XMLCite \textit{E. Bayo} et al., Comput. Methods Appl. Mech. Eng. 92, No. 3, 377--395 (1991; Zbl 0850.70029) Full Text: DOI
Reddy, B. D.; Martin, J. B. Algorithms for the solution of internal variable problems in plasticity. (English) Zbl 0744.73023 Comput. Methods Appl. Mech. Eng. 93, No. 2, 253-273 (1991). MSC: 74S30 74P10 74C99 74S05 PDFBibTeX XMLCite \textit{B. D. Reddy} and \textit{J. B. Martin}, Comput. Methods Appl. Mech. Eng. 93, No. 2, 253--273 (1991; Zbl 0744.73023) Full Text: DOI
Simo, J. C. Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity. (English) Zbl 0751.73066 Comput. Methods Appl. Mech. Eng. 88, No. 1, 111-131 (1991). MSC: 74S30 74P10 74C99 74C10 74A15 65N12 PDFBibTeX XMLCite \textit{J. C. Simo}, Comput. Methods Appl. Mech. Eng. 88, No. 1, 111--131 (1991; Zbl 0751.73066) Full Text: DOI
Papadrakakis, Manolis; Dracopoulos, Michael C. A global preconditioner for the element-by-element solution methods. (English) Zbl 0742.73022 Comput. Methods Appl. Mech. Eng. 88, No. 3, 275-286 (1991). MSC: 74S05 74M05 PDFBibTeX XMLCite \textit{M. Papadrakakis} and \textit{M. C. Dracopoulos}, Comput. Methods Appl. Mech. Eng. 88, No. 3, 275--286 (1991; Zbl 0742.73022) Full Text: DOI
Borja, Ronaldo I. One-step and linear multistep methods for nonlinear consolidation. (English) Zbl 0764.73097 Comput. Methods Appl. Mech. Eng. 85, No. 3, 239-272 (1991). MSC: 74S30 74L10 65L06 PDFBibTeX XMLCite \textit{R. I. Borja}, Comput. Methods Appl. Mech. Eng. 85, No. 3, 239--272 (1991; Zbl 0764.73097) Full Text: DOI
Wathen, A. J. An analysis of some element-by-element techniques. (English) Zbl 0694.65013 Comput. Methods Appl. Mech. Eng. 74, No. 3, 271-287 (1989). Reviewer: U.Langer MSC: 65F10 65F35 35J05 65N30 PDFBibTeX XMLCite \textit{A. J. Wathen}, Comput. Methods Appl. Mech. Eng. 74, No. 3, 271--287 (1989; Zbl 0694.65013) Full Text: DOI
Jain, R. K.; Kumar, Rajive A sixth-order modification of the Stiefel-Bettis method for nonlinearly damped oscillators. (English) Zbl 0684.65076 Comput. Methods Appl. Mech. Eng. 72, No. 2, 187-193 (1989). Reviewer: A.Coţiu MSC: 65L05 34A34 34C25 PDFBibTeX XMLCite \textit{R. K. Jain} and \textit{R. Kumar}, Comput. Methods Appl. Mech. Eng. 72, No. 2, 187--193 (1989; Zbl 0684.65076) Full Text: DOI
Hoff, C.; Pahl, P. J. Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics. (English) Zbl 0619.73002 Comput. Methods Appl. Mech. Eng. 67, No. 3, 367-385 (1988). MSC: 74S30 65D30 PDFBibTeX XMLCite \textit{C. Hoff} and \textit{P. J. Pahl}, Comput. Methods Appl. Mech. Eng. 67, No. 3, 367--385 (1988; Zbl 0619.73002) Full Text: DOI
Hughes, Thomas J. R.; Hulbert, Gregory M. Space-time finite element methods for elastodynamics: Formulations and error estimates. (English) Zbl 0616.73063 Comput. Methods Appl. Mech. Eng. 66, No. 3, 339-363 (1988). MSC: 74S05 65N30 65N15 65K10 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{G. M. Hulbert}, Comput. Methods Appl. Mech. Eng. 66, No. 3, 339--363 (1988; Zbl 0616.73063) Full Text: DOI
Ladopoulos, E. G. On the numerical solution of the finite-part singular integral equations of the first and second kind used in fracture mechanics. (English) Zbl 0626.73111 Comput. Methods Appl. Mech. Eng. 65, 253-266 (1987). MSC: 74R05 45E05 65R20 74B99 74H99 PDFBibTeX XMLCite \textit{E. G. Ladopoulos}, Comput. Methods Appl. Mech. Eng. 65, 253--266 (1987; Zbl 0626.73111) Full Text: DOI
Twizell, E. H. A sixth-order extrapolation method for special nonlinear fourth-order boundary value problems. (English) Zbl 0602.73089 Comput. Methods Appl. Mech. Eng. 62, 293-303 (1987). MSC: 74S30 65L60 74K10 PDFBibTeX XMLCite \textit{E. H. Twizell}, Comput. Methods Appl. Mech. Eng. 62, 293--303 (1987; Zbl 0602.73089) Full Text: DOI
Tsamasphyros, George Methods for combination of finite element and singular integral equation methods. (English) Zbl 0587.73118 Comput. Methods Appl. Mech. Eng. 60, 45-56 (1987). MSC: 74S30 74S05 65R20 PDFBibTeX XMLCite \textit{G. Tsamasphyros}, Comput. Methods Appl. Mech. Eng. 60, 45--56 (1987; Zbl 0587.73118) Full Text: DOI
Peirce, A.; Prevost, J. H. On the lack of convergence of unconditionally stable explicit rational Runge-Kutta schemes. (English) Zbl 0611.65057 Comput. Methods Appl. Mech. Eng. 57, 171-180 (1986). Reviewer: E.Hairer MSC: 65M20 65M12 65L05 35L45 35K15 65L20 PDFBibTeX XMLCite \textit{A. Peirce} and \textit{J. H. Prevost}, Comput. Methods Appl. Mech. Eng. 57, 171--180 (1986; Zbl 0611.65057) Full Text: DOI
Brown, R. A.; Armstrong, R. C.; Beris, A. N.; Yeh, P.-W. Galerkin finite element analysis of complex viscoelastic flows. (English) Zbl 0607.76006 Comput. Methods Appl. Mech. Eng. 58, 201-226 (1986). MSC: 76A10 76M99 PDFBibTeX XMLCite \textit{R. A. Brown} et al., Comput. Methods Appl. Mech. Eng. 58, 201--226 (1986; Zbl 0607.76006) Full Text: DOI
Ioakimidis, N. I. A modification of the quadrature method for the direct numerical solution of singular integral equations. (English) Zbl 0544.65096 Comput. Methods Appl. Mech. Eng. 46, 1-13 (1984). MSC: 65R20 45E05 74R05 PDFBibTeX XMLCite \textit{N. I. Ioakimidis}, Comput. Methods Appl. Mech. Eng. 46, 1--13 (1984; Zbl 0544.65096) Full Text: DOI
Lipitakis, Elias A.; Evans, David J. Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods. (English) Zbl 0522.65068 Comput. Methods Appl. Mech. Eng. 43, 1-19 (1984). MSC: 65N30 65N22 65F05 15A23 35J25 PDFBibTeX XMLCite \textit{E. A. Lipitakis} and \textit{D. J. Evans}, Comput. Methods Appl. Mech. Eng. 43, 1--19 (1984; Zbl 0522.65068) Full Text: DOI
Behie, A.; Collins, D.; Forsyth, P. jun. Incomplete factorization methods for three-dimensional non-symmetric problems. (English) Zbl 0517.76102 Comput. Methods Appl. Mech. Eng. 42, 287-299 (1984). MSC: 76T99 76M99 65C20 PDFBibTeX XMLCite \textit{A. Behie} et al., Comput. Methods Appl. Mech. Eng. 42, 287--299 (1984; Zbl 0517.76102) Full Text: DOI
Twizell, E. H.; Khaliq, A. Q. M. A difference scheme with high accuracy in time for fourth-order parabolic equations. (English) Zbl 0509.65044 Comput. Methods Appl. Mech. Eng. 41, 91-104 (1983). MSC: 65N06 65N12 74K10 74H45 35K35 PDFBibTeX XMLCite \textit{E. H. Twizell} and \textit{A. Q. M. Khaliq}, Comput. Methods Appl. Mech. Eng. 41, 91--104 (1983; Zbl 0509.65044) Full Text: DOI
Menning, J.; Auerbach, T.; Haelg, W. Two point Hermite approximations for the solution of linear initial value and boundary value problems. (English) Zbl 0501.65036 Comput. Methods Appl. Mech. Eng. 39, 199-224 (1983). MSC: 65L05 65L10 34B05 41A05 65D05 34A30 PDFBibTeX XMLCite \textit{J. Menning} et al., Comput. Methods Appl. Mech. Eng. 39, 199--224 (1983; Zbl 0501.65036) Full Text: DOI
Veselic, K. A global Jacobi method for a symmetric indefinite problem Sx=lambdaTx. (English) Zbl 0497.73083 Comput. Methods Appl. Mech. Eng. 38, 273-290 (1983). MSC: 74S30 65K05 49R50 65F30 PDFBibTeX XMLCite \textit{K. Veselic}, Comput. Methods Appl. Mech. Eng. 38, 273--290 (1983; Zbl 0497.73083) Full Text: DOI
Jain, M. K.; Aziz, Tariq Cubic spline solution of two-point boundary value problems with significant first derivatives. (English) Zbl 0497.65046 Comput. Methods Appl. Mech. Eng. 39, 83-91 (1983). MSC: 65L10 65L60 34B15 PDFBibTeX XMLCite \textit{M. K. Jain} and \textit{T. Aziz}, Comput. Methods Appl. Mech. Eng. 39, 83--91 (1983; Zbl 0497.65046) Full Text: DOI
Babuška, Ivo; Rheinboldt, Werner C. Computational error estimates and adaptive processes for some nonlinear structural problems. (English) Zbl 0528.65047 Comput. Methods Appl. Mech. Eng. 34, 895-937 (1982). MSC: 65L60 65H10 65L10 74S05 65N30 65N15 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Comput. Methods Appl. Mech. Eng. 34, 895--937 (1982; Zbl 0528.65047) Full Text: DOI
Ioakimidis, N. I. A natural quadrature formula for the numerical evaluation of the MacGregor-Westergaard complex potentials in crack problems. (English) Zbl 0478.73089 Comput. Methods Appl. Mech. Eng. 31, 221-231 (1982). MSC: 74R05 45E05 65D32 PDFBibTeX XMLCite \textit{N. I. Ioakimidis}, Comput. Methods Appl. Mech. Eng. 31, 221--231 (1982; Zbl 0478.73089) Full Text: DOI
Tsamasphyros, G.; Theocaris, P. S. A recurrence formula for the direct solution of singular integral equations. (English) Zbl 0478.65078 Comput. Methods Appl. Mech. Eng. 31, 79-89 (1982). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{G. Tsamasphyros} and \textit{P. S. Theocaris}, Comput. Methods Appl. Mech. Eng. 31, 79--89 (1982; Zbl 0478.65078) Full Text: DOI
Cameron, R. F.; McKee, S. The direct numerical solution of a Volterra integral equation arising out of viscoelastic stress in materials. (English) Zbl 0468.73103 Comput. Methods Appl. Mech. Eng. 29, 219-232 (1981). MSC: 74S30 65R20 45D05 PDFBibTeX XMLCite \textit{R. F. Cameron} and \textit{S. McKee}, Comput. Methods Appl. Mech. Eng. 29, 219--232 (1981; Zbl 0468.73103) Full Text: DOI
Sepehrnoori, K.; Carey, G. F. Numerical integration of semidiscrete evolution systems. (English) Zbl 0458.73081 Comput. Methods Appl. Mech. Eng. 27, 45-61 (1981). MSC: 74S30 76R99 65L05 74S05 65D30 65L15 65N30 PDFBibTeX XMLCite \textit{K. Sepehrnoori} and \textit{G. F. Carey}, Comput. Methods Appl. Mech. Eng. 27, 45--61 (1981; Zbl 0458.73081) Full Text: DOI
Jain, M. K.; Aziz, Tariq Spline function approximation for differential equations. (English) Zbl 0455.65070 Comput. Methods Appl. Mech. Eng. 26, 129-143 (1981). MSC: 65N06 41A15 34B15 65D07 65L05 65L10 35K60 35Q99 PDFBibTeX XMLCite \textit{M. K. Jain} and \textit{T. Aziz}, Comput. Methods Appl. Mech. Eng. 26, 129--143 (1981; Zbl 0455.65070) Full Text: DOI
Evans, D. J.; Lipitakis, E. A. A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations. (English) Zbl 0447.65011 Comput. Methods Appl. Mech. Eng. 23, 1-19 (1980). MSC: 65F10 65N22 15A23 65F05 35J25 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{E. A. Lipitakis}, Comput. Methods Appl. Mech. Eng. 23, 1--19 (1980; Zbl 0447.65011) Full Text: DOI
Carey, G. F.; Sepehrnoori, K. Gershgorin theory for stiffness and stability of evolution systems and convection-diffusion. (English) Zbl 0433.73078 Comput. Methods Appl. Mech. Eng. 22, 23-48 (1980). MSC: 74S30 76R99 65L05 65L15 74S05 PDFBibTeX XMLCite \textit{G. F. Carey} and \textit{K. Sepehrnoori}, Comput. Methods Appl. Mech. Eng. 22, 23--48 (1980; Zbl 0433.73078) Full Text: DOI
Serbin, Steven M. On a fourth-order unconditionally stable scheme for damped second-order systems. (English) Zbl 0431.73071 Comput. Methods Appl. Mech. Eng. 23, 333-340 (1980). MSC: 74S30 65L05 65L07 PDFBibTeX XMLCite \textit{S. M. Serbin}, Comput. Methods Appl. Mech. Eng. 23, 333--340 (1980; Zbl 0431.73071) Full Text: DOI
Argyris, J. H.; Johnsen, T. L.; Mlejnek, H.-P. On accurate stress calculation in static and dynamic problems using the natural factor approach. (English) Zbl 0414.73066 Comput. Methods Appl. Mech. Eng. 19, 277-308 (1979). MSC: 74S30 65F10 PDFBibTeX XMLCite \textit{J. H. Argyris} et al., Comput. Methods Appl. Mech. Eng. 19, 277--308 (1979; Zbl 0414.73066) Full Text: DOI
Axelsson, O.; Gustafsson, I. An iterative solver for a mixed variable variational formulation of the (first) biharmonic problem. (English) Zbl 0408.73074 Computer Methods Appl. Mech. Engin. 20, 9-16 (1979). MSC: 74S30 65K10 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{I. Gustafsson}, Comput. Methods Appl. Mech. Eng. 20, 9--16 (1979; Zbl 0408.73074) Full Text: DOI
Felippa, C. A.; Park, K. C. Direct time integration methods in nonlinear structural dynamics. (English) Zbl 0403.73032 Computer Methods Appl. Mech. Engin. 17-18, 277-313 (1979). MSC: 74B20 74-04 PDFBibTeX XMLCite \textit{C. A. Felippa} and \textit{K. C. Park}, Comput. Methods Appl. Mech. Eng. 17--18, 277--313 (1979; Zbl 0403.73032) Full Text: DOI
Engquist, Björn; Kreiss, Heinz-Otto Difference and finite element methods for hyperbolic differential equations. (English) Zbl 0401.65058 Computer Methods Appl. Mech. Engin. 17-18, 581-596 (1979). MSC: 65M06 65N06 65N30 35L45 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{H.-O. Kreiss}, Comput. Methods Appl. Mech. Eng. 17--18, 581--596 (1979; Zbl 0401.65058) Full Text: DOI
Axelsson, Owe; Gustafsson, Ivar Iterative methods for the solution of the Navier equations of elasticity. (English) Zbl 0402.73028 Computer Methods Appl. Mech. Engin. 15, 241-258 (1978). MSC: 74B99 65N30 65N06 65F10 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{I. Gustafsson}, Comput. Methods Appl. Mech. Eng. 15, 241--258 (1978; Zbl 0402.73028) Full Text: DOI
Argyris, J. H.; Vaz, L. E.; Willam, K. J. Higher order methods for transient diffusion analysis. (English) Zbl 0365.65061 Computer Methods Appl. Mech. Engin. 12, 243-278 (1977). MSC: 65M12 35K05 PDFBibTeX XMLCite \textit{J. H. Argyris} et al., Comput. Methods Appl. Mech. Eng. 12, 243--278 (1977; Zbl 0365.65061) Full Text: DOI
Argyris, J. H.; Dunne, P. C.; Johnsen, Th. L.; Müller, M. Linear systems with a large number of sparse constraints with applications to incompressible materials. (English) Zbl 0364.73069 Computer Methods Appl. Mech. Engin. 10, 105-132 (1977). MSC: 74S05 PDFBibTeX XMLCite \textit{J. H. Argyris} et al., Comput. Methods Appl. Mech. Eng. 10, 105--132 (1977; Zbl 0364.73069) Full Text: DOI
Gekeler, Eckart; Lunde Johnsen, Th. Galerkin-Obrechkoff methods and hyperbolic initial boundary value problems with damping. (English) Zbl 0357.65066 Computer Methods Appl. Mech. Engin. 10, 359-370 (1977). MSC: 65M12 65M06 65M15 PDFBibTeX XMLCite \textit{E. Gekeler} and \textit{Th. Lunde Johnsen}, Comput. Methods Appl. Mech. Eng. 10, 359--370 (1977; Zbl 0357.65066) Full Text: DOI
Argyris, J. H.; Johnsen, Th. L.; Rosanoff, R. A.; Roy, J. R. On numerical error in the finite element method. (English) Zbl 0356.65036 Computer Methods Appl. Mech. Engin. 7, 261-282 (1976). MSC: 65G50 65N15 65N30 PDFBibTeX XMLCite \textit{J. H. Argyris} et al., Comput. Methods Appl. Mech. Eng. 7, 261--282 (1976; Zbl 0356.65036) Full Text: DOI
Axelsson, O. A class of iterative methods for finite element equations. (English) Zbl 0334.65028 Computer Methods appl. Mech. Engin. 9, 123-137 (1976). MSC: 65F10 65N30 PDFBibTeX XMLCite \textit{O. Axelsson}, Comput. Methods Appl. Mech. Eng. 9, 123--137 (1976; Zbl 0334.65028) Full Text: DOI
Knudson, W.; Nagy, D. Discrete data smoothing by spline interpolation with application to initial geometry of cable nets. (English) Zbl 0285.73077 Computer Methods appl. Mech. Engin. 4, 321-348 (1974). MSC: 74K99 41A15 65D05 PDFBibTeX XMLCite \textit{W. Knudson} and \textit{D. Nagy}, Comput. Methods Appl. Mech. Eng. 4, 321--348 (1974; Zbl 0285.73077) Full Text: DOI
Greenspan, D.; Schultz, D. Natural convection in an enclosure with localized heating from below. (English) Zbl 0277.76085 Computer Methods appl. Mech. Engin. 3, 1-10 (1974). MSC: 76R05 65N06 PDFBibTeX XMLCite \textit{D. Greenspan} and \textit{D. Schultz}, Comput. Methods Appl. Mech. Eng. 3, 1--10 (1974; Zbl 0277.76085) Full Text: DOI Link
Caretto, L. S.; Curr, R. M.; Spalding, D. B. Two numerical methods for three-dimensional boundary layers. (English) Zbl 0261.76017 Computer Methods appl. Mech. Engin. 1, 39-57 (1972). MSC: 76D10 65N06 PDFBibTeX XMLCite \textit{L. S. Caretto} et al., Comput. Methods Appl. Mech. Eng. 1, 39--57 (1972; Zbl 0261.76017) Full Text: DOI