du Toit, Sonja; Labuschagne, Madelein; van der Merwe, Alna Large displacements and rotations of a local linear elastic rod. (English) Zbl 07801469 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202200586, 23 p. (2023). MSC: 74K10 74B05 PDFBibTeX XMLCite \textit{S. du Toit} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202200586, 23 p. (2023; Zbl 07801469) Full Text: DOI
Petersen, Eric H. Numerical investigation of a thermoelastic model for a propagating phase boundary. (English) Zbl 07762837 J. Elasticity 154, No. 1-4, 345-353 (2023). MSC: 74N20 74F05 74S20 PDFBibTeX XMLCite \textit{E. H. Petersen}, J. Elasticity 154, No. 1--4, 345--353 (2023; Zbl 07762837) Full Text: DOI
Hosseini, E.; Gh Ghanbari, P.; Müller, O.; Molinaro, R.; Mishra, S. Single-track thermal analysis of laser powder bed fusion process: parametric solution through physics-informed neural networks. (English) Zbl 07737587 Comput. Methods Appl. Mech. Eng. 410, Article ID 116019, 11 p. (2023). MSC: 80-XX 74-XX PDFBibTeX XMLCite \textit{E. Hosseini} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 116019, 11 p. (2023; Zbl 07737587) Full Text: DOI
Jin, Shi; Ma, Zheng; Wu, Keke Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. (English) Zbl 07698821 J. Sci. Comput. 94, No. 3, Paper No. 57, 21 p. (2023). MSC: 65Nxx 65Mxx 74Jxx PDFBibTeX XMLCite \textit{S. Jin} et al., J. Sci. Comput. 94, No. 3, Paper No. 57, 21 p. (2023; Zbl 07698821) Full Text: DOI arXiv
Ammouche, Yanis; Jérusalem, Antoine The a posteriori finite element method (APFEM), a framework for efficient parametric study and Bayesian inferences. (English) Zbl 07692967 Comput. Methods Appl. Mech. Eng. 412, Article ID 115996, 19 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{Y. Ammouche} and \textit{A. Jérusalem}, Comput. Methods Appl. Mech. Eng. 412, Article ID 115996, 19 p. (2023; Zbl 07692967) Full Text: DOI
Geisler, Hendrik; Junker, Philipp Time-separated stochastic mechanics for the simulation of viscoelastic structures with local random material fluctuations. (English) Zbl 07665583 Comput. Methods Appl. Mech. Eng. 407, Article ID 115916, 25 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. Geisler} and \textit{P. Junker}, Comput. Methods Appl. Mech. Eng. 407, Article ID 115916, 25 p. (2023; Zbl 07665583) Full Text: DOI
Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. (English) Zbl 07644843 Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{S. Adjerid} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023; Zbl 07644843) Full Text: DOI arXiv
Guan, Kaiwen; Matsushima, Kei; Noguchi, Yuki; Yamada, Takayuki Topology optimization for rarefied gas flow problems using density method and adjoint IP-DSMC. (English) Zbl 07640545 J. Comput. Phys. 474, Article ID 111788, 25 p. (2023). MSC: 76Mxx 76Dxx 74Pxx PDFBibTeX XMLCite \textit{K. Guan} et al., J. Comput. Phys. 474, Article ID 111788, 25 p. (2023; Zbl 07640545) Full Text: DOI
Mehta, Alok; Schneider, Matti A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution. (English) Zbl 1501.74071 Comput. Mech. 70, No. 4, 829-851 (2022). MSC: 74S99 74E30 74Q05 PDFBibTeX XMLCite \textit{A. Mehta} and \textit{M. Schneider}, Comput. Mech. 70, No. 4, 829--851 (2022; Zbl 1501.74071) Full Text: DOI
Wang, Yan; Xiao, Xufeng; Feng, Xinlong An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model. (English) Zbl 07582456 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106717, 19 p. (2022). MSC: 65Y05 74N05 65M06 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106717, 19 p. (2022; Zbl 07582456) Full Text: DOI
Ammouche, Yanis; Jérusalem, Antoine A modular nonlinear stochastic finite element formulation for uncertainty estimation. (English) Zbl 1507.74443 Comput. Methods Appl. Mech. Eng. 396, Article ID 115044, 20 p. (2022). MSC: 74S05 65N30 74B20 74S60 PDFBibTeX XMLCite \textit{Y. Ammouche} and \textit{A. Jérusalem}, Comput. Methods Appl. Mech. Eng. 396, Article ID 115044, 20 p. (2022; Zbl 1507.74443) Full Text: DOI
Zhang, Wenbo; Li, David S.; Bui-Thanh, Tan; Sacks, Michael S. Simulation of the 3D hyperelastic behavior of ventricular myocardium using a finite-element based neural-network approach. (English) Zbl 1507.74239 Comput. Methods Appl. Mech. Eng. 394, Article ID 114871, 22 p. (2022). MSC: 74L15 74B20 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114871, 22 p. (2022; Zbl 1507.74239) Full Text: DOI
Ito, Kazuho Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary. (English) Zbl 1485.74095 Appl. Numer. Math. 176, 56-82 (2022). MSC: 74S25 74K10 65M12 PDFBibTeX XMLCite \textit{K. Ito}, Appl. Numer. Math. 176, 56--82 (2022; Zbl 1485.74095) Full Text: DOI
Dölz, Jürgen; Harbrecht, Helmut; Jerez-Hanckes, Carlos; Multerer, Michael Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. (English) Zbl 1507.74529 Comput. Methods Appl. Mech. Eng. 388, Article ID 114242, 18 p. (2022). MSC: 74S15 65N38 65D32 74J20 76Q05 PDFBibTeX XMLCite \textit{J. Dölz} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114242, 18 p. (2022; Zbl 1507.74529) Full Text: DOI arXiv
Dalibard, Anne-Laure (ed.); Le Bris, Claude (ed.); Souganidis, Panagiotis E. (ed.) Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14–20, 2021 (online meeting). (English) Zbl 1487.00036 Oberwolfach Rep. 18, No. 1, 791-852 (2021). MSC: 00B05 00B25 35-06 60-06 35J15 35J70 60G55 60G60 74Q15 76M50 35B27 PDFBibTeX XMLCite \textit{A.-L. Dalibard} (ed.) et al., Oberwolfach Rep. 18, No. 1, 791--852 (2021; Zbl 1487.00036) Full Text: DOI
Bekar, Ali C.; Madenci, Erdogan Peridynamics enabled learning partial differential equations. (English) Zbl 07508517 J. Comput. Phys. 434, Article ID 110193, 35 p. (2021). MSC: 35Qxx 65Fxx 74Axx PDFBibTeX XMLCite \textit{A. C. Bekar} and \textit{E. Madenci}, J. Comput. Phys. 434, Article ID 110193, 35 p. (2021; Zbl 07508517) Full Text: DOI
Morrow, Liam C.; Moroney, Timothy J.; Dallaston, Michael C.; McCue, Scott W. A review of one-phase Hele-Shaw flows and a level-set method for nonstandard configurations. (English) Zbl 1482.76043 ANZIAM J. 63, No. 3, 269-307 (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 76D27 76E17 76M99 76M40 74M20 76-02 PDFBibTeX XMLCite \textit{L. C. Morrow} et al., ANZIAM J. 63, No. 3, 269--307 (2021; Zbl 1482.76043) Full Text: DOI arXiv
Henkes, Alexander; Caylak, Ismail; Mahnken, Rolf A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. (English) Zbl 1502.74087 Comput. Methods Appl. Mech. Eng. 385, Article ID 114070, 27 p. (2021). MSC: 74Q05 65N75 PDFBibTeX XMLCite \textit{A. Henkes} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114070, 27 p. (2021; Zbl 1502.74087) Full Text: DOI arXiv
Straughan, Brian Stability in Kelvin-Voigt poroelasticity. (English) Zbl 1469.74059 Boll. Unione Mat. Ital. 14, No. 2, 357-366 (2021). MSC: 74H55 74H25 74F10 74D05 35Q74 PDFBibTeX XMLCite \textit{B. Straughan}, Boll. Unione Mat. Ital. 14, No. 2, 357--366 (2021; Zbl 1469.74059) Full Text: DOI
Caylak, Ismail; Penner, Eduard; Mahnken, Rolf Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. (English) Zbl 1506.74326 Comput. Methods Appl. Mech. Eng. 373, Article ID 113439, 22 p. (2021). MSC: 74Q05 74A40 PDFBibTeX XMLCite \textit{I. Caylak} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113439, 22 p. (2021; Zbl 1506.74326) Full Text: DOI
Boscheri, Walter; Dimarco, Giacomo High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes. (English) Zbl 07508389 J. Comput. Phys. 422, Article ID 109766, 35 p. (2020). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{W. Boscheri} and \textit{G. Dimarco}, J. Comput. Phys. 422, Article ID 109766, 35 p. (2020; Zbl 07508389) Full Text: DOI
Dao, T. D.; Serra, Q.; Berger, S.; Florentin, E. Error estimation of polynomial chaos approximations in transient structural dynamics. (English) Zbl 07342677 Int. J. Comput. Methods 17, No. 10, Article ID 2050003, 23 p. (2020). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{T. D. Dao} et al., Int. J. Comput. Methods 17, No. 10, Article ID 2050003, 23 p. (2020; Zbl 07342677) Full Text: DOI
Baus, Franziska; Klar, Axel; Marheineke, Nicole; Wegener, Raimund Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation. (English) Zbl 1465.35372 Asymptotic Anal. 120, No. 1-2, 103-121 (2020). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 35Q74 74A35 74A60 74K10 74S20 65M06 65N35 PDFBibTeX XMLCite \textit{F. Baus} et al., Asymptotic Anal. 120, No. 1--2, 103--121 (2020; Zbl 1465.35372) Full Text: DOI arXiv
Rosenau, P.; Rubin, M. B. New classes of traveling waves in a planar Kirchhoff beam with nonlinear bending stiffness. (English) Zbl 1440.74188 J. Elasticity 140, No. 2, 197-211 (2020). MSC: 74K10 74J30 74B20 74J35 PDFBibTeX XMLCite \textit{P. Rosenau} and \textit{M. B. Rubin}, J. Elasticity 140, No. 2, 197--211 (2020; Zbl 1440.74188) Full Text: DOI
Jahanbin, Ramin; Rahman, Sharif Stochastic isogeometric analysis in linear elasticity. (English) Zbl 1442.74253 Comput. Methods Appl. Mech. Eng. 364, Article ID 112928, 38 p. (2020). MSC: 74S70 74S60 65N30 65D07 65N75 74B05 74S22 PDFBibTeX XMLCite \textit{R. Jahanbin} and \textit{S. Rahman}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112928, 38 p. (2020; Zbl 1442.74253) Full Text: DOI
Putek, Piotr Nonlinear magnetoquasistatic interface problem in a permanent-magnet machine with stochastic partial differential equation constraints. (English) Zbl 1523.74098 Eng. Optim. 51, No. 12, 2169-2192 (2019). MSC: 74P05 49M25 49Q10 74F15 PDFBibTeX XMLCite \textit{P. Putek}, Eng. Optim. 51, No. 12, 2169--2192 (2019; Zbl 1523.74098) Full Text: DOI
Wang, Teng; Wang, Yi Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation. (English) Zbl 1420.35177 Kinet. Relat. Models 12, No. 3, 637-679 (2019). MSC: 35Q20 76P05 74J40 35L65 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Y. Wang}, Kinet. Relat. Models 12, No. 3, 637--679 (2019; Zbl 1420.35177) Full Text: DOI arXiv
Fragkos, K. B.; Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C. Pfosm: an efficient algorithm for aerodynamic robust design based on continuous adjoint and matrix-vector products. (English) Zbl 1410.76040 Comput. Fluids 181, 57-66 (2019). MSC: 76D05 74P20 PDFBibTeX XMLCite \textit{K. B. Fragkos} et al., Comput. Fluids 181, 57--66 (2019; Zbl 1410.76040) Full Text: DOI
Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. (English) Zbl 1460.74065 Appl. Math. Modelling 62, 86-102 (2018). MSC: 74L15 74B20 74S60 92C10 PDFBibTeX XMLCite \textit{P. Hauseux} et al., Appl. Math. Modelling 62, 86--102 (2018; Zbl 1460.74065) Full Text: DOI Link
Wang, Linjun; Liu, Jinwei; Xie, Youxiang; Gu, Yuantong A new regularization method for the dynamic load identification of stochastic structures. (English) Zbl 1425.74209 Comput. Math. Appl. 76, No. 4, 741-759 (2018). MSC: 74G75 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Math. Appl. 76, No. 4, 741--759 (2018; Zbl 1425.74209) Full Text: DOI Link
Nakamura, Tohru; Kawashima, Shuichi Viscous shock profile and singular limit for hyperbolic systems with Cattaneo’s law. (English) Zbl 1421.35216 Kinet. Relat. Models 11, No. 4, 795-819 (2018). MSC: 35L67 35B35 74D10 35B40 35L65 35C07 35B25 PDFBibTeX XMLCite \textit{T. Nakamura} and \textit{S. Kawashima}, Kinet. Relat. Models 11, No. 4, 795--819 (2018; Zbl 1421.35216) Full Text: DOI
Caylak, Ismail; Penner, Eduard; Dridger, Alex; Mahnken, Rolf Stochastic hyperelastic modeling considering dependency of material parameters. (English) Zbl 1462.74018 Comput. Mech. 62, No. 6, 1273-1285 (2018). MSC: 74A40 74B20 74S60 PDFBibTeX XMLCite \textit{I. Caylak} et al., Comput. Mech. 62, No. 6, 1273--1285 (2018; Zbl 1462.74018) Full Text: DOI
Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A. Accelerating Monte Carlo estimation with derivatives of high-level finite element models. (English) Zbl 1439.65006 Comput. Methods Appl. Mech. Eng. 318, 917-936 (2017). MSC: 65C05 60H15 65M60 74S05 74B20 PDFBibTeX XMLCite \textit{P. Hauseux} et al., Comput. Methods Appl. Mech. Eng. 318, 917--936 (2017; Zbl 1439.65006) Full Text: DOI Link
Feng, X.; Lorton, C. An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. (English) Zbl 1439.74152 Comput. Methods Appl. Mech. Eng. 315, 141-168 (2017). MSC: 74J20 65C05 74S05 65N30 65N75 PDFBibTeX XMLCite \textit{X. Feng} and \textit{C. Lorton}, Comput. Methods Appl. Mech. Eng. 315, 141--168 (2017; Zbl 1439.74152) Full Text: DOI arXiv
Moore, M. Nicholas J. Riemann-Hilbert problems for the shapes formed by bodies dissolving, melting, and eroding in fluid flows. (English) Zbl 1464.76030 Commun. Pure Appl. Math. 70, No. 9, 1810-1831 (2017). MSC: 76D10 76D05 80A22 74F10 PDFBibTeX XMLCite \textit{M. N. J. Moore}, Commun. Pure Appl. Math. 70, No. 9, 1810--1831 (2017; Zbl 1464.76030) Full Text: DOI
Brandt, Christopher; Hildebrandt, Klaus Compressed vibration modes of elastic bodies. (English) Zbl 1505.74067 Comput. Aided Geom. Des. 52-53, 297-312 (2017). MSC: 74H45 65D17 65D18 90C90 PDFBibTeX XMLCite \textit{C. Brandt} and \textit{K. Hildebrandt}, Comput. Aided Geom. Des. 52--53, 297--312 (2017; Zbl 1505.74067) Full Text: DOI Link
Cieszko, Mieczysław; Drelich, Radosław; Pakuła, Michał Wave dispersion in randomly layered materials. (English) Zbl 1469.76109 Wave Motion 64, 52-67 (2016). MSC: 76Q05 35P25 35Q74 74A40 PDFBibTeX XMLCite \textit{M. Cieszko} et al., Wave Motion 64, 52--67 (2016; Zbl 1469.76109) Full Text: DOI
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto Exponential dephasing of oscillators in the kinetic Kuramoto model. (English) Zbl 1339.35328 J. Stat. Phys. 162, No. 4, 813-823 (2016). MSC: 35Q92 35A10 74A25 76N10 92B25 PDFBibTeX XMLCite \textit{D. Benedetto} et al., J. Stat. Phys. 162, No. 4, 813--823 (2016; Zbl 1339.35328) Full Text: DOI arXiv Link
Antman, Stuart S.; Ulusoy, Süleyman Asymptotics and attractors for quasilinear parabolic-hyperbolic systems governing the motions of heavily burdened deformable bodies. (English) Zbl 1339.35052 Vietnam J. Math. 44, No. 1, 133-152 (2016). MSC: 35B41 35B25 35K59 35Q74 74D10 74H10 74K10 PDFBibTeX XMLCite \textit{S. S. Antman} and \textit{S. Ulusoy}, Vietnam J. Math. 44, No. 1, 133--152 (2016; Zbl 1339.35052) Full Text: DOI
Nathan Woods, C.; Starkey, Ryan P. Verification of fluid-dynamic codes in the presence of shocks and other discontinuities. (English) Zbl 1349.76158 J. Comput. Phys. 294, 312-328 (2015). MSC: 76L05 74-04 PDFBibTeX XMLCite \textit{C. Nathan Woods} and \textit{R. P. Starkey}, J. Comput. Phys. 294, 312--328 (2015; Zbl 1349.76158) Full Text: DOI
Rosić, Bojana V.; Matthies, Hermann G. Variational theory and computations in stochastic plasticity. (English) Zbl 1348.74063 Arch. Comput. Methods Eng. 22, No. 3, 457-509 (2015). MSC: 74C05 74P10 65K10 49J10 PDFBibTeX XMLCite \textit{B. V. Rosić} and \textit{H. G. Matthies}, Arch. Comput. Methods Eng. 22, No. 3, 457--509 (2015; Zbl 1348.74063) Full Text: DOI
Franzelin, Fabian; Diehl, Patrick; Pflüger, Dirk Non-intrusive uncertainty quantification with sparse grids for multivariate peridynamic simulations. (English) Zbl 1343.74047 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 115-143 (2015). MSC: 74R99 74S30 PDFBibTeX XMLCite \textit{F. Franzelin} et al., Lect. Notes Comput. Sci. Eng. 100, 115--143 (2015; Zbl 1343.74047) Full Text: DOI
Cottereau, R.; Díez, P. Fast \(r\)-adaptivity for multiple queries of heterogeneous stochastic material fields. (English) Zbl 1329.74017 Comput. Mech. 56, No. 4, 601-612 (2015). MSC: 74A40 74S05 65C05 65N30 65N75 PDFBibTeX XMLCite \textit{R. Cottereau} and \textit{P. Díez}, Comput. Mech. 56, No. 4, 601--612 (2015; Zbl 1329.74017) Full Text: DOI
Lacarbonara, Walter; Arena, Andrea; Antman, Stuart S. Flexural vibrations of nonlinearly elastic circular rings. (English) Zbl 1320.74052 Meccanica 50, No. 3, 689-705 (2015). MSC: 74H45 74H10 74B20 PDFBibTeX XMLCite \textit{W. Lacarbonara} et al., Meccanica 50, No. 3, 689--705 (2015; Zbl 1320.74052) Full Text: DOI
Koiso, Norihito On motion of an elastic wire in a Riemannian manifold and singular perturbation. (English) Zbl 1317.35251 Osaka J. Math. 52, No. 2, 453-473 (2015). MSC: 35Q74 53C44 53A04 35B25 74K10 35B20 PDFBibTeX XMLCite \textit{N. Koiso}, Osaka J. Math. 52, No. 2, 453--473 (2015; Zbl 1317.35251) Full Text: Euclid
Wang, Teng; Wang, Yi Stability of superposition of two viscous shock waves for the Boltzmann equation. (English) Zbl 1335.35176 SIAM J. Math. Anal. 47, No. 2, 1070-1120 (2015). Reviewer: Song Jiang (Beijing) MSC: 35Q20 35B40 76P05 74J40 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Y. Wang}, SIAM J. Math. Anal. 47, No. 2, 1070--1120 (2015; Zbl 1335.35176) Full Text: DOI
Han, Jiequn; Luo, Yi; Wang, Wei; Zhang, Pingwen; Zhang, Zhifei From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals. (English) Zbl 1309.35076 Arch. Ration. Mech. Anal. 215, No. 3, 741-809 (2015). MSC: 35Q35 74A15 82D30 PDFBibTeX XMLCite \textit{J. Han} et al., Arch. Ration. Mech. Anal. 215, No. 3, 741--809 (2015; Zbl 1309.35076) Full Text: DOI arXiv
Kolyukhin, Dmitriy; Tveranger, Jan Statistical analysis of fracture-length distribution sampled under the truncation and censoring effects. (English) Zbl 1323.86023 Math. Geosci. 46, No. 6, 733-746 (2014). MSC: 86A32 86A60 74L05 PDFBibTeX XMLCite \textit{D. Kolyukhin} and \textit{J. Tveranger}, Math. Geosci. 46, No. 6, 733--746 (2014; Zbl 1323.86023) Full Text: DOI
Radtke, Gregg A.; Péraud, Jean-Philippe M.; Hadjiconstantinou, Nicolas G. On efficient simulations of multiscale kinetic transport. (English) Zbl 1353.76030 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1982, Article ID 20120182, 19 p. (2013). MSC: 76F25 74A25 82D15 PDFBibTeX XMLCite \textit{G. A. Radtke} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1982, Article ID 20120182, 19 p. (2013; Zbl 1353.76030) Full Text: DOI
Zaeem, Mohsen Asle; Yin, Hebi; Felicelli, Sergio D. Modeling dendritic solidification of Al-3%Cu using cellular automaton and phase-field methods. (English) Zbl 1351.74070 Appl. Math. Modelling 37, No. 5, 3495-3503 (2013). MSC: 74N25 74S05 PDFBibTeX XMLCite \textit{M. A. Zaeem} et al., Appl. Math. Modelling 37, No. 5, 3495--3503 (2013; Zbl 1351.74070) Full Text: DOI
Majumdar, Apala; Goriely, Alain Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. (English) Zbl 1284.74062 Physica D 253, 91-101 (2013). MSC: 74K10 74H55 PDFBibTeX XMLCite \textit{A. Majumdar} and \textit{A. Goriely}, Physica D 253, 91--101 (2013; Zbl 1284.74062) Full Text: DOI Link
Lazarov, Boyan S.; Schevenels, Mattias; Sigmund, Ole Topology optimization considering material and geometric uncertainties using stochastic collocation methods. (English) Zbl 1274.74360 Struct. Multidiscip. Optim. 46, No. 4, 597-612 (2012). MSC: 74P15 49Q12 90C15 PDFBibTeX XMLCite \textit{B. S. Lazarov} et al., Struct. Multidiscip. Optim. 46, No. 4, 597--612 (2012; Zbl 1274.74360) Full Text: DOI
Chen, Wenbin; Wang, Yanqiu A mixed finite element method for thin film epitaxy. (English) Zbl 1254.82028 Numer. Math. 122, No. 4, 771-793 (2012). MSC: 82C24 65M60 65M12 35Q82 74K35 65M06 82-08 49M27 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Wang}, Numer. Math. 122, No. 4, 771--793 (2012; Zbl 1254.82028) Full Text: DOI
Ibrahimbegovic, Adnan; Colliat, Jean-Baptiste; Hautefeuille, Martin; Brancherie, Delphine; Melnyk, Sergiy Probability based size effect representation for failure in civil engineering structures built of heterogeneous materials. (English) Zbl 1245.74082 Papadrakakis, Manolis (ed.) et al., Computational methods in stochastic dynamics. Selected papers based on the presentations at the 2nd international conference on computational methods in structural dynamics and earthquake engineering (COMPDYN 2009), and 2nd south east European conference on computational mechanics (SEECCM 2009, Rhodos, Greece, June 22–24, 2009 . New York, NY: Springer (ISBN 978-90-481-9986-0/hbk). Computational Methods in Applied Sciences 22, 291-313 (2011). MSC: 74R10 74E30 PDFBibTeX XMLCite \textit{A. Ibrahimbegovic} et al., Comput. Methods Appl. Sci. 22, 291--313 (2011; Zbl 1245.74082) Full Text: DOI
Xu, X. Frank Stochastic computation based on orthogonal expansion of random fields. (English) Zbl 1230.74242 Comput. Methods Appl. Mech. Eng. 200, No. 41-44, 2871-2881 (2011). MSC: 74S60 74S05 74E35 74E30 65N75 PDFBibTeX XMLCite \textit{X. F. Xu}, Comput. Methods Appl. Mech. Eng. 200, No. 41--44, 2871--2881 (2011; Zbl 1230.74242) Full Text: DOI
Koiso, Norihito; Sugimoto, Mitsuru Motion of elastic wire with thickness. (English) Zbl 1214.35069 Osaka J. Math. 47, No. 3, 787-815 (2010). Reviewer: Mariano Rodriguez Ricard (La Habana) MSC: 35Q70 53C44 53A04 70E15 74K05 74H20 74H25 PDFBibTeX XMLCite \textit{N. Koiso} and \textit{M. Sugimoto}, Osaka J. Math. 47, No. 3, 787--815 (2010; Zbl 1214.35069) Full Text: Euclid
Dobson, Matthew; Luskin, Mitchell; Ortner, Christoph Stability, instability, and error of the force-based quasicontinuum approximation. (English) Zbl 1268.74006 Arch. Ration. Mech. Anal. 197, No. 1, 179-202 (2010). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74A25 82B21 PDFBibTeX XMLCite \textit{M. Dobson} et al., Arch. Ration. Mech. Anal. 197, No. 1, 179--202 (2010; Zbl 1268.74006) Full Text: DOI arXiv
Baskaran, Arvind; Devita, Jason; Smereka, Peter Kinetic Monte Carlo simulation of strained heteroepitaxial growth with intermixing. (English) Zbl 1184.74079 Contin. Mech. Thermodyn. 22, No. 1, 1-26 (2010). MSC: 74S60 74K35 74E15 PDFBibTeX XMLCite \textit{A. Baskaran} et al., Contin. Mech. Thermodyn. 22, No. 1, 1--26 (2010; Zbl 1184.74079) Full Text: DOI arXiv
Schulze, Tim P.; Smereka, Peter An energy localization principle and its application to fast kinetic Monte Carlo simulation of heteroepitaxial growth. (English) Zbl 1170.74359 J. Mech. Phys. Solids 57, No. 3, 521-538 (2009). MSC: 74K35 74S30 PDFBibTeX XMLCite \textit{T. P. Schulze} and \textit{P. Smereka}, J. Mech. Phys. Solids 57, No. 3, 521--538 (2009; Zbl 1170.74359) Full Text: DOI
Kugele, S. C.; Trosset, M. W.; Watson, L. T. Numerical integration in statistical decision-theoretic methods for robust design optimization. (English) Zbl 1273.74411 Struct. Multidiscip. Optim. 36, No. 5, 457-475 (2008). MSC: 74P99 62C05 90B25 PDFBibTeX XMLCite \textit{S. C. Kugele} et al., Struct. Multidiscip. Optim. 36, No. 5, 457--475 (2008; Zbl 1273.74411) Full Text: DOI
Matthies, Hermann G.; Rosić, Bojana V. Inelastic media under uncertainty: stochastic models and computational approaches. (English) Zbl 1209.74075 Daya Reddy, B. (ed.), IUTAM symposium on theoretical, computational and modelling aspects of inelastic media. Proceedings of the IUTAM symposium held at Cape Town, South Africa, January 14–18, 2008. Dordrecht: Springer (ISBN 978-1-4020-9089-9/hbk; 978-1-4020-9090-5/ebook). IUTAM Bookseries 11, 185-194 (2008). MSC: 74S60 74C99 PDFBibTeX XMLCite \textit{H. G. Matthies} and \textit{B. V. Rosić}, IUTAM Bookser. 11, 185--194 (2008; Zbl 1209.74075) Full Text: DOI
Caflisch, Russel E. Growth, structure and pattern formation for thin films. (English) Zbl 1203.74099 J. Sci. Comput. 37, No. 1, 3-17 (2008). MSC: 74K35 74Sxx 65Mxx 74N20 82D25 PDFBibTeX XMLCite \textit{R. E. Caflisch}, J. Sci. Comput. 37, No. 1, 3--17 (2008; Zbl 1203.74099) Full Text: DOI
Nouy, A.; Clément, A.; Schoefs, F.; Moës, N. An extended stochastic finite element method for solving stochastic partial differential equations on random domains. (English) Zbl 1194.74457 Comput. Methods Appl. Mech. Eng. 197, No. 51-52, 4663-4682 (2008). MSC: 74S05 74S60 74E35 65C30 PDFBibTeX XMLCite \textit{A. Nouy} et al., Comput. Methods Appl. Mech. Eng. 197, No. 51--52, 4663--4682 (2008; Zbl 1194.74457) Full Text: DOI
Salac, David; Lu, Wei Stability and shape evolution of voids and channels due to surface misfit. (English) Zbl 1169.74331 Int. J. Solids Struct. 45, No. 13, 3793-3806 (2008). MSC: 74A50 74H55 74S25 PDFBibTeX XMLCite \textit{D. Salac} and \textit{W. Lu}, Int. J. Solids Struct. 45, No. 13, 3793--3806 (2008; Zbl 1169.74331) Full Text: DOI
Oliveri, F.; Speciale, M. P. Wave hierarchies in continua with scalar microstructure in the plane and spherical symmetry. (English) Zbl 1132.74022 Comput. Math. Appl. 55, No. 2, 285-298 (2008). MSC: 74J30 74A99 74H10 76A99 PDFBibTeX XMLCite \textit{F. Oliveri} and \textit{M. P. Speciale}, Comput. Math. Appl. 55, No. 2, 285--298 (2008; Zbl 1132.74022) Full Text: DOI
Xu, X. Frank A multiscale stochastic finite element method on elliptic problems involving uncertainties. (English) Zbl 1173.74449 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2723-2736 (2007). MSC: 74S05 74S30 74Q05 PDFBibTeX XMLCite \textit{X. F. Xu}, Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2723--2736 (2007; Zbl 1173.74449) Full Text: DOI
Bae, Y.; Caflisch, R. E. Strain in layered nanocrystals. (English) Zbl 1131.74008 Eur. J. Appl. Math. 18, No. 5, 571-582 (2007). MSC: 74E15 74A60 PDFBibTeX XMLCite \textit{Y. Bae} and \textit{R. E. Caflisch}, Eur. J. Appl. Math. 18, No. 5, 571--582 (2007; Zbl 1131.74008) Full Text: DOI
Chang, Anthony; Dantzig, Jonathan A.; Darr, Brian T.; Hubel, Allison Modeling the interaction of biological cells with a solidifying interface. (English) Zbl 1173.92301 J. Comput. Phys. 226, No. 2, 1808-1829 (2007). MSC: 92C37 74L15 PDFBibTeX XMLCite \textit{A. Chang} et al., J. Comput. Phys. 226, No. 2, 1808--1829 (2007; Zbl 1173.92301) Full Text: DOI
Hu, Zhengzheng; Li, Shuwang; Lowengrub, John S. Morphological stability analysis of the epitaxial growth of a circular island: application to nanoscale shape control. (English) Zbl 1124.35087 Physica D 233, No. 2, 151-166 (2007). MSC: 35Q72 74N20 74N05 PDFBibTeX XMLCite \textit{Z. Hu} et al., Physica D 233, No. 2, 151--166 (2007; Zbl 1124.35087) Full Text: DOI
Wu, Yumei; Liu, I-Shih Shock structure in viscoelasticity of relaxation type. (English) Zbl 1098.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 4, 785-794 (2006). MSC: 35L67 35L45 74D10 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{I-S. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 4, 785--794 (2006; Zbl 1098.35109) Full Text: DOI
Lattanzio, Corrado; Tzavaras, Athanasios E. Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics. (English) Zbl 1089.74017 Arch. Ration. Mech. Anal. 180, No. 3, 449-492 (2006). MSC: 74D10 74H10 PDFBibTeX XMLCite \textit{C. Lattanzio} and \textit{A. E. Tzavaras}, Arch. Ration. Mech. Anal. 180, No. 3, 449--492 (2006; Zbl 1089.74017) Full Text: DOI
Hieber, Simone E.; Koumoutsakos, Petros A Lagrangian particle level set method. (English) Zbl 1076.65087 J. Comput. Phys. 210, No. 1, 342-367 (2005). MSC: 65M70 35L45 76M28 74S30 92C50 PDFBibTeX XMLCite \textit{S. E. Hieber} and \textit{P. Koumoutsakos}, J. Comput. Phys. 210, No. 1, 342--367 (2005; Zbl 1076.65087) Full Text: DOI
Antman, Stuart S.; Seidman, Thomas I. The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods. (English) Zbl 1145.74020 Arch. Ration. Mech. Anal. 175, No. 1, 85-150 (2005). MSC: 74K10 74D10 35Q72 PDFBibTeX XMLCite \textit{S. S. Antman} and \textit{T. I. Seidman}, Arch. Ration. Mech. Anal. 175, No. 1, 85--150 (2005; Zbl 1145.74020) Full Text: DOI
Li, Bo; Rätz, Andreas; Voigt, Axel Stability of a circular epitaxial island. (English) Zbl 1086.35109 Physica D 198, No. 3-4, 231-247 (2004). MSC: 35Q72 74N05 76E17 PDFBibTeX XMLCite \textit{B. Li} et al., Physica D 198, No. 3--4, 231--247 (2004; Zbl 1086.35109) Full Text: DOI
McMillen, Tyler; Goriely, Alain Whip waves. (English) Zbl 1098.74590 Physica D 184, No. 1-4, 192-225 (2003). MSC: 74H15 PDFBibTeX XMLCite \textit{T. McMillen} and \textit{A. Goriely}, Physica D 184, No. 1--4, 192--225 (2003; Zbl 1098.74590) Full Text: DOI
Burchard, Almut; Thomas, Lawrence E. On the Cauchy problem for a dynamical Euler’s elastica. (English) Zbl 1058.74060 Commun. Partial Differ. Equations 28, No. 1-2, 271-300 (2003). MSC: 74K10 35L30 35A07 35B10 74H20 74H25 PDFBibTeX XMLCite \textit{A. Burchard} and \textit{L. E. Thomas}, Commun. Partial Differ. Equations 28, No. 1--2, 271--300 (2003; Zbl 1058.74060) Full Text: DOI arXiv
Cisternas, J.; Holmes, P. Buckling of extensible thermoelastic rods. (English) Zbl 1027.74025 Math. Comput. Modelling 36, No. 3, 233-243 (2002). MSC: 74G60 74K10 74F05 PDFBibTeX XMLCite \textit{J. Cisternas} and \textit{P. Holmes}, Math. Comput. Modelling 36, No. 3, 233--243 (2002; Zbl 1027.74025) Full Text: DOI
Lin, Ping; Shu, Chiwang Numerical solution of a virtual internal bond model for material fracture. (English) Zbl 1098.74525 Physica D 167, No. 1-2, 101-121 (2002). MSC: 74A45 PDFBibTeX XMLCite \textit{P. Lin} and \textit{C. Shu}, Physica D 167, No. 1--2, 101--121 (2002; Zbl 1098.74525) Full Text: DOI
Chen, Susan; Merriman, Barry; Kang, Myungjoo; Caflisch, Russel E.; Ratsch, Christian; Cheng, Li-Tien; Gyure, Mark; Fedkiw, Ronald P.; Anderson, Christopher; Osher, Stanley A level set method for thin film epitaxial growth. (English) Zbl 0993.74081 J. Comput. Phys. 167, No. 2, 475-500 (2001). MSC: 74S30 74K35 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Phys. 167, No. 2, 475--500 (2001; Zbl 0993.74081) Full Text: DOI
Arvanitis, Christos; Katsaounis, Theodoros; Makridakis, Charalambos Adaptive finite element relaxation schemes for hyperbolic conservation laws. (English) Zbl 0980.65104 M2AN, Math. Model. Numer. Anal. 35, No. 1, 17-33 (2001). Reviewer: Mária Lukáčová (Brno) MSC: 65M60 35L65 65M50 35Q53 74S05 65M20 65M12 74B20 PDFBibTeX XMLCite \textit{C. Arvanitis} et al., M2AN, Math. Model. Numer. Anal. 35, No. 1, 17--33 (2001; Zbl 0980.65104) Full Text: DOI Numdam EuDML
Patrício, P.; Adda-Bedia, M.; Amar, M. Ben An elastica problem: Instabilities of an elastic arch. (English) Zbl 0951.74025 Physica D 124, No. 1-3, 285-295 (1998). MSC: 74H55 74G60 74G65 74K10 PDFBibTeX XMLCite \textit{P. Patrício} et al., Physica D 124, No. 1--3, 285--295 (1998; Zbl 0951.74025) Full Text: DOI
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L. Hamiltonian dynamics of an elastica and the stability of solitary waves. (English) Zbl 0861.73036 Arch. Ration. Mech. Anal. 135, No. 4, 357-396 (1996). MSC: 74H55 74H45 74K10 70H05 PDFBibTeX XMLCite \textit{D. J. Dichmann} et al., Arch. Ration. Mech. Anal. 135, No. 4, 357--396 (1996; Zbl 0861.73036) Full Text: DOI
Ge, Z.; Kruse, H. P.; Marsden, J. E. The limits of Hamiltonian structures in three-dimensional elasticity, shells, and rods. (English) Zbl 0860.73036 J. Nonlinear Sci. 6, No. 1, 19-57 (1996). Reviewer: R.Valid (Paris) MSC: 74K15 74K10 70H99 PDFBibTeX XMLCite \textit{Z. Ge} et al., J. Nonlinear Sci. 6, No. 1, 19--57 (1996; Zbl 0860.73036) Full Text: DOI
Wu, Yumei; Liu, I-Shih Vanishing relaxation limit of viscoelasticity. (English) Zbl 1001.74541 Math. Mech. Solids 1, No. 2, 227-241 (1996). MSC: 74D99 35Q72 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{I-S. Liu}, Math. Mech. Solids 1, No. 2, 227--241 (1996; Zbl 1001.74541) Full Text: DOI
Coleman, B. D.; Xu, J.-M. On the interaction of solitary waves of flexure in elastic rods. (English) Zbl 0849.73029 Acta Mech. 110, No. 1-4, 173-182 (1995). MSC: 74H45 74K10 74S20 PDFBibTeX XMLCite \textit{B. D. Coleman} and \textit{J. M. Xu}, Acta Mech. 110, No. 1--4, 173--182 (1995; Zbl 0849.73029) Full Text: DOI
Zhu, Changjiang Global resolvability for a viscoelastic model with relaxation. (English) Zbl 0843.73033 Proc. R. Soc. Edinb., Sect. A 125, No. 6, 1277-1285 (1995). MSC: 74D05 74D10 35Q72 PDFBibTeX XMLCite \textit{C. Zhu}, Proc. R. Soc. Edinb., Sect. A, Math. 125, No. 6, 1277--1285 (1995; Zbl 0843.73033) Full Text: DOI
Maddocks, John H.; Dichmann, Donald J. Conservation laws in the dynamics of rods. (English) Zbl 0808.73042 J. Elasticity 34, No. 1, 83-96 (1994). MSC: 74H45 74K10 74B20 PDFBibTeX XMLCite \textit{J. H. Maddocks} and \textit{D. J. Dichmann}, J. Elasticity 34, No. 1, 83--96 (1994; Zbl 0808.73042) Full Text: DOI
Coleman, Bernard D.; Dill, Ellis H.; Lembo, Marzio; Lu, Zheng; Tobias, Irwin On the dynamics of rods in the theory of Kirchhoff and Clebsch. (English) Zbl 0784.73044 Arch. Ration. Mech. Anal. 121, No. 4, 339-359 (1992). Reviewer: A.Hanuška (Bratislava) MSC: 74K10 74H45 74B20 PDFBibTeX XMLCite \textit{B. D. Coleman} et al., Arch. Ration. Mech. Anal. 121, No. 4, 339--359 (1992; Zbl 0784.73044) Full Text: DOI
Koch, Donald L.; Shaqfeh, E. S. G. Screening in sedimenting suspensions. (English) Zbl 0721.76031 J. Fluid Mech. 224, 275-303 (1991). MSC: 76D99 35Q30 74F10 PDFBibTeX XMLCite \textit{D. L. Koch} and \textit{E. S. G. Shaqfeh}, J. Fluid Mech. 224, 275--303 (1991; Zbl 0721.76031) Full Text: DOI