Cao, Meng; Roberts, A. J. Multiscale modelling couples patches of two-layer thin fluid flow. (English) Zbl 1505.76065 Chen, Xiaopeng (ed.) et al., Stochastic PDEs and modelling of multiscale complex system. Hackensack, NJ: World Scientific. Interdiscip. Math. Sci. 20, 111-137 (2019). MSC: 76M20 76T06 76A20 PDFBibTeX XMLCite \textit{M. Cao} and \textit{A. J. Roberts}, Interdiscip. Math. Sci. 20, 111--137 (2019; Zbl 1505.76065) Full Text: DOI arXiv
Sokolova, Irina; Bastisya, Muhammad Gusti; Hajibeygi, Hadi Multiscale finite volume method for finite-volume-based simulation of poroelasticity. (English) Zbl 07581574 J. Comput. Phys. 379, 309-324 (2019). MSC: 76Mxx 76Sxx 65Nxx PDFBibTeX XMLCite \textit{I. Sokolova} et al., J. Comput. Phys. 379, 309--324 (2019; Zbl 07581574) Full Text: DOI
Barreda, Manuel; Madureira, Alexandre L. A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficients. (English) Zbl 1499.65644 Int. J. Comput. Math. 96, No. 7, 1461-1476 (2019). MSC: 65N30 65N12 35J60 35A01 35A02 PDFBibTeX XMLCite \textit{M. Barreda} and \textit{A. L. Madureira}, Int. J. Comput. Math. 96, No. 7, 1461--1476 (2019; Zbl 1499.65644) Full Text: DOI arXiv
Wen, Juan; He, Yinnian A new multiscale finite element method for the 2D transient Navier-Stokes equations. (English) Zbl 1499.65539 Int. J. Comput. Math. 96, No. 7, 1377-1397 (2019). MSC: 65M60 76D05 76M10 PDFBibTeX XMLCite \textit{J. Wen} and \textit{Y. He}, Int. J. Comput. Math. 96, No. 7, 1377--1397 (2019; Zbl 1499.65539) Full Text: DOI
Chung, Eric T.; Efendiev, Yalchin; Jin, Bangti; Leung, Wing Tat; Vasilyeva, Maria Generalized multiscale inversion for heterogeneous problems. (English) Zbl 1473.65162 Commun. Comput. Phys. 25, No. 4, 1213-1234 (2019). MSC: 65M32 65M60 PDFBibTeX XMLCite \textit{E. T. Chung} et al., Commun. Comput. Phys. 25, No. 4, 1213--1234 (2019; Zbl 1473.65162) Full Text: DOI arXiv
Peng, Ping; Li, Guan-Qiang; Zhao, Li-Chen; Yang, Wen-Li; Yang, Zhan-Ying Magnetized vector solitons in a spin-orbit coupled spin-1 Bose-Einstein condensate with Zeeman coupling. (English) Zbl 1476.81173 Phys. Lett., A 383, No. 24, 2883-2890 (2019). MSC: 81V73 82B26 35C08 81V10 81Q15 78A30 35Q55 35P30 PDFBibTeX XMLCite \textit{P. Peng} et al., Phys. Lett., A 383, No. 24, 2883--2890 (2019; Zbl 1476.81173) Full Text: DOI
Guiraldello, Rafael T.; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C. Interface spaces for the multiscale Robin coupled method in reservoir simulation. (English) Zbl 07316724 Math. Comput. Simul. 164, 103-119 (2019). MSC: 65Nxx PDFBibTeX XMLCite \textit{R. T. Guiraldello} et al., Math. Comput. Simul. 164, 103--119 (2019; Zbl 07316724) Full Text: DOI
Fu, Shubin; Chung, Eric T. A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media. (English) Zbl 1453.76069 J. Comput. Phys. 399, Article ID 108906, 13 p. (2019). MSC: 76M10 76S05 76T06 65N30 65N55 PDFBibTeX XMLCite \textit{S. Fu} and \textit{E. T. Chung}, J. Comput. Phys. 399, Article ID 108906, 13 p. (2019; Zbl 1453.76069) Full Text: DOI arXiv
Guo, Bo; Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale formulation of pore-scale compressible Darcy-Stokes flow. (English) Zbl 1453.65304 J. Comput. Phys. 397, Article ID 108849, 18 p. (2019). MSC: 65M55 76S05 76M12 65Z05 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Comput. Phys. 397, Article ID 108849, 18 p. (2019; Zbl 1453.65304) Full Text: DOI
Nguyen, Lam H.; Schillinger, Dominik The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity. (English) Zbl 1452.74110 J. Comput. Phys. 396, 129-160 (2019). MSC: 74S05 74R10 65N30 65N55 65Z05 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, J. Comput. Phys. 396, 129--160 (2019; Zbl 1452.74110) Full Text: DOI
Fu, Shubin; Altmann, Robert; Chung, Eric T.; Maier, Roland; Peterseim, Daniel; Pun, Sai-Mang Computational multiscale methods for linear poroelasticity with high contrast. (English) Zbl 1452.76089 J. Comput. Phys. 395, 286-297 (2019). MSC: 76M10 74S05 76S05 74F10 65M12 65M60 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Phys. 395, 286--297 (2019; Zbl 1452.76089) Full Text: DOI arXiv
Blumers, Ansel L.; Li, Zhen; Karniadakis, George Em Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: application to hydrodynamics. (English) Zbl 1452.76172 J. Comput. Phys. 393, 214-228 (2019). MSC: 76M28 76D05 65M75 PDFBibTeX XMLCite \textit{A. L. Blumers} et al., J. Comput. Phys. 393, 214--228 (2019; Zbl 1452.76172) Full Text: DOI arXiv
Chung, Eric; Pollock, Sara; Pun, Sai-Mang Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method. (English) Zbl 1452.65329 J. Comput. Phys. 393, 59-73 (2019). MSC: 65N30 76S05 76M10 65N55 65N15 PDFBibTeX XMLCite \textit{E. Chung} et al., J. Comput. Phys. 393, 59--73 (2019; Zbl 1452.65329) Full Text: DOI arXiv
Li, Qiuqi; Jiang, Lijian A multiscale virtual element method for elliptic problems in heterogeneous porous media. (English) Zbl 1452.65349 J. Comput. Phys. 388, 394-415 (2019). MSC: 65N30 76S05 76M10 65N55 65F55 65Z05 PDFBibTeX XMLCite \textit{Q. Li} and \textit{L. Jiang}, J. Comput. Phys. 388, 394--415 (2019; Zbl 1452.65349) Full Text: DOI
Zhu, Yajun; Zhong, Chengwen; Xu, Kun An implicit unified gas-kinetic scheme for unsteady flow in all Knudsen regimes. (English) Zbl 1452.76216 J. Comput. Phys. 386, 190-217 (2019). MSC: 76P05 76M12 76K05 PDFBibTeX XMLCite \textit{Y. Zhu} et al., J. Comput. Phys. 386, 190--217 (2019; Zbl 1452.76216) Full Text: DOI arXiv
Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale formulation of two-phase flow at the pore scale. (English) Zbl 1452.65218 J. Comput. Phys. 389, 164-188 (2019). MSC: 65M55 65M50 65M08 76S05 76M12 76D05 76T06 PDFBibTeX XMLCite \textit{Y. Mehmani} and \textit{H. A. Tchelepi}, J. Comput. Phys. 389, 164--188 (2019; Zbl 1452.65218) Full Text: DOI
Liu, Ju; Marsden, Alison L. A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning. (English) Zbl 1451.74208 J. Comput. Phys. 383, 72-93 (2019). MSC: 74S05 65M60 65M22 74B20 92C10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{A. L. Marsden}, J. Comput. Phys. 383, 72--93 (2019; Zbl 1451.74208) Full Text: DOI arXiv Link
Dai, Ruxin; Lin, Pengpeng; Zhang, Jun An EXCMG accelerated multiscale multigrid computation for 3D Poisson equation. (English) Zbl 1442.65322 Comput. Math. Appl. 77, No. 8, 2051-2060 (2019). MSC: 65N06 35J25 65N55 PDFBibTeX XMLCite \textit{R. Dai} et al., Comput. Math. Appl. 77, No. 8, 2051--2060 (2019; Zbl 1442.65322) Full Text: DOI
Fu, Yaoyao; Cao, Liqun The multiscale algorithms for the Maxwell-Dirac system in matrix form with quadratic correction. (Chinese. English summary) Zbl 1449.65178 Math. Numer. Sin. 41, No. 4, 419-439 (2019). MSC: 65M06 65M60 35C20 78M20 78M40 78M35 35Q41 35Q61 35R05 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, Math. Numer. Sin. 41, No. 4, 419--439 (2019; Zbl 1449.65178)
Yang, Zhaoqiang Pricing European lookback option in a special kind of mixed jump-diffusion Black-Scholes model. (Chinese. English summary) Zbl 1449.91167 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 6, 1514-1531 (2019). MSC: 91G20 60J70 60J74 60G22 PDFBibTeX XMLCite \textit{Z. Yang}, Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 6, 1514--1531 (2019; Zbl 1449.91167)
Ahmed, Elyes; Fumagalli, Alessio; Budiša, Ana A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models. (English) Zbl 1441.74197 Comput. Methods Appl. Mech. Eng. 354, 16-36 (2019). MSC: 74R10 74F10 PDFBibTeX XMLCite \textit{E. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 354, 16--36 (2019; Zbl 1441.74197) Full Text: DOI arXiv
Kocaman, E. S.; Chen, B. Y.; Pinho, S. T. A polymorphic element formulation towards multiscale modelling of composite structures. (English) Zbl 1440.74411 Comput. Methods Appl. Mech. Eng. 346, 359-387 (2019). MSC: 74S05 65N30 74R10 74E30 PDFBibTeX XMLCite \textit{E. S. Kocaman} et al., Comput. Methods Appl. Mech. Eng. 346, 359--387 (2019; Zbl 1440.74411) Full Text: DOI Link
Mota, Alejandro; Tezaur, Irina; Alleman, Coleman Corrigendum to “The Schwarz alternating method in solid mechanics”. (English) Zbl 1440.74429 Comput. Methods Appl. Mech. Eng. 344, 1147-1148 (2019). MSC: 74S05 65N55 65N30 74A20 PDFBibTeX XMLCite \textit{A. Mota} et al., Comput. Methods Appl. Mech. Eng. 344, 1147--1148 (2019; Zbl 1440.74429) Full Text: DOI
Gao, Jie; Luo, Zhen; Li, Hao; Gao, Liang Topology optimization for multiscale design of porous composites with multi-domain microstructures. (English) Zbl 1440.74295 Comput. Methods Appl. Mech. Eng. 344, 451-476 (2019). MSC: 74P15 74F10 PDFBibTeX XMLCite \textit{J. Gao} et al., Comput. Methods Appl. Mech. Eng. 344, 451--476 (2019; Zbl 1440.74295) Full Text: DOI Link
Sliseris, Janis; Gaile, Liga; Pakrastins, Leonids Extended multiscale FEM for design of beams and frames with complex topology. (English) Zbl 1461.74088 Appl. Math. Modelling 69, 77-92 (2019). MSC: 74S05 74K10 74K99 PDFBibTeX XMLCite \textit{J. Sliseris} et al., Appl. Math. Modelling 69, 77--92 (2019; Zbl 1461.74088) Full Text: DOI
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian Heterogeneous multiscale method for Maxwell’s equations. (English) Zbl 1435.78019 Multiscale Model. Simul. 17, No. 4, 1147-1171 (2019). MSC: 78M10 65M60 65M06 65L06 65M12 65M15 65N15 65M20 35Q61 78M20 78A25 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Multiscale Model. Simul. 17, No. 4, 1147--1171 (2019; Zbl 1435.78019) Full Text: DOI
Chung, Eric T.; Pun, Sai-Mang Online adaptive basis enrichment for mixed CEM-GMsFEM. (English) Zbl 1435.65196 Multiscale Model. Simul. 17, No. 4, 1103-1122 (2019). MSC: 65N30 65N12 65N15 76S05 PDFBibTeX XMLCite \textit{E. T. Chung} and \textit{S.-M. Pun}, Multiscale Model. Simul. 17, No. 4, 1103--1122 (2019; Zbl 1435.65196) Full Text: DOI arXiv
Zhu, Yuhua A local sensitivity and regularity analysis for the Vlasov-Poisson-Fokker-Planck system with multi-dimensional uncertainty and the spectral convergence of the stochastic Galerkin method. (English) Zbl 1440.65149 Netw. Heterog. Media 14, No. 4, 677-707 (2019). MSC: 65M60 65M12 35B20 35P15 35Q83 35Q84 82C40 35R60 PDFBibTeX XMLCite \textit{Y. Zhu}, Netw. Heterog. Media 14, No. 4, 677--707 (2019; Zbl 1440.65149) Full Text: DOI
Hurel, Gabriel; Ture Savadkoohi, Alireza; Lamarque, Claude-Henri Passive control of a two degrees-of-freedom pendulum by a non-smooth absorber. (English) Zbl 1430.70016 Nonlinear Dyn. 98, No. 4, 3025-3036 (2019). MSC: 70E55 70K70 34E13 PDFBibTeX XMLCite \textit{G. Hurel} et al., Nonlinear Dyn. 98, No. 4, 3025--3036 (2019; Zbl 1430.70016) Full Text: DOI HAL
Yang, Yanfang; Shi, Ke; Fu, Shubin Multiscale hybridizable discontinuous Galerkin method for flow simulations in highly heterogeneous media. (English) Zbl 1440.65237 J. Sci. Comput. 81, No. 3, 1712-1731 (2019). MSC: 65N30 65N35 65M06 65M08 76S05 76T06 35Q35 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Sci. Comput. 81, No. 3, 1712--1731 (2019; Zbl 1440.65237) Full Text: DOI
Fu, Yaoyao; Cao, Liqun; Ma, Chupeng The multiscale algorithms for the Maxwell-Dirac system with rapidly oscillating discontinuous coefficients in a bounded convex Lipschitz domain under the Weyl gauge. (Chinese. English summary) Zbl 1449.35160 J. Numer. Methods Comput. Appl. 40, No. 2, 111-129 (2019). MSC: 35C20 35Q41 65M99 PDFBibTeX XMLCite \textit{Y. Fu} et al., J. Numer. Methods Comput. Appl. 40, No. 2, 111--129 (2019; Zbl 1449.35160)
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E. Space-time computational analysis of tire aerodynamics with actual geometry, road contact, tire deformation, road roughness and fluid film. (English) Zbl 1465.74130 Comput. Mech. 64, No. 6, 1699-1718 (2019). MSC: 74M15 74F10 74S99 74S22 76D08 PDFBibTeX XMLCite \textit{T. Kuraishi} et al., Comput. Mech. 64, No. 6, 1699--1718 (2019; Zbl 1465.74130) Full Text: DOI
Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.; Nagaoka, Kenichiro; Avsar, Reha; Zhang, Yutong Space-time VMS flow analysis of a turbocharger turbine with isogeometric discretization: computations with time-dependent and steady-inflow representations of the intake/exhaust cycle. (English) Zbl 1467.76044 Comput. Mech. 64, No. 5, 1403-1419 (2019). MSC: 76M30 76M99 76U05 65D17 PDFBibTeX XMLCite \textit{Y. Otoguro} et al., Comput. Mech. 64, No. 5, 1403--1419 (2019; Zbl 1467.76044) Full Text: DOI
Fu, Shubin; Gao, Kai; Gibson, Richard L. jun.; Chung, Eric T. An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling. (English) Zbl 1425.74234 Comput. Geosci. 23, No. 5, 997-1010 (2019). MSC: 74J05 65N30 86A17 PDFBibTeX XMLCite \textit{S. Fu} et al., Comput. Geosci. 23, No. 5, 997--1010 (2019; Zbl 1425.74234) Full Text: DOI Link
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E. Space-time isogeometric flow analysis with built-in Reynolds-equation limit. (English) Zbl 1425.76142 Math. Models Methods Appl. Sci. 29, No. 5, 871-904 (2019). MSC: 76M10 74F10 65M60 65N30 PDFBibTeX XMLCite \textit{T. Kuraishi} et al., Math. Models Methods Appl. Sci. 29, No. 5, 871--904 (2019; Zbl 1425.76142) Full Text: DOI
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. Computational analysis methods for complex unsteady flow problems. (English) Zbl 1425.76128 Math. Models Methods Appl. Sci. 29, No. 5, 825-838 (2019). MSC: 76M10 74F10 74S05 76D05 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Math. Models Methods Appl. Sci. 29, No. 5, 825--838 (2019; Zbl 1425.76128) Full Text: DOI
Liu, Wei; Cui, Jintao; Wang, Zhifeng Numerical analysis and modeling of multiscale Forchheimer-forchheimer coupled model for compressible fluid flow in fractured media aquifer system. (English) Zbl 1428.76135 Appl. Math. Comput. 353, 7-28 (2019). MSC: 76M20 65M06 65M12 65M15 76S05 86A05 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Math. Comput. 353, 7--28 (2019; Zbl 1428.76135) Full Text: DOI
Li, Zhenkun; He, Yuming; Zhang, Bo; Lei, Jian; Guo, Song; Liu, Dabiao Experimental investigation and theoretical modelling on nonlinear dynamics of cantilevered microbeams. (English) Zbl 1483.74042 Eur. J. Mech., A, Solids 78, Article ID 103834, 15 p. (2019). MSC: 74H45 74K10 74M25 74H15 74-05 PDFBibTeX XMLCite \textit{Z. Li} et al., Eur. J. Mech., A, Solids 78, Article ID 103834, 15 p. (2019; Zbl 1483.74042) Full Text: DOI
Cimrman, Robert; Lukeš, Vladimír; Rohan, Eduard Multiscale finite element calculations in Python using sfepy. (English) Zbl 1433.65005 Adv. Comput. Math. 45, No. 4, 1897-1921 (2019). MSC: 65-04 65M60 74-04 65N30 65Y05 65Y15 74S05 74F15 35Qxx PDFBibTeX XMLCite \textit{R. Cimrman} et al., Adv. Comput. Math. 45, No. 4, 1897--1921 (2019; Zbl 1433.65005) Full Text: DOI arXiv
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Wang, Yating Upscaled model for mixed dimensional coupled flow problem in fractured porous media using non-local multicontinuum (NLMC) method. (English) Zbl 1434.76075 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 604-611 (2019). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., Lect. Notes Comput. Sci. 11386, 604--611 (2019; Zbl 1434.76075) Full Text: DOI
Tyrylgin, A.; Vasilyeva, M.; Brown, D. Generalized multiscale finite element method for poroelasticity problems in heterogeneous media. (English) Zbl 1434.76074 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 566-573 (2019). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{A. Tyrylgin} et al., Lect. Notes Comput. Sci. 11386, 566--573 (2019; Zbl 1434.76074) Full Text: DOI
Spiridonov, D.; Vasilyeva, M. Generalized multiscale finite element method for unsaturated filtration problem in heterogeneous medium. (English) Zbl 1434.76072 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 517-524 (2019). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{D. Spiridonov} and \textit{M. Vasilyeva}, Lect. Notes Comput. Sci. 11386, 517--524 (2019; Zbl 1434.76072) Full Text: DOI
Gavrileva, U.; Alekseev, V.; Vasilyeva, M.; De Basabe, J. D.; Efendiev, Y.; Gibson, R. L. jun. Generalized multiscale discontinuous Galerkin method for Helmholtz problem in fractured media. (English) Zbl 1434.74103 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 250-257 (2019). MSC: 74S05 74A45 PDFBibTeX XMLCite \textit{U. Gavrileva} et al., Lect. Notes Comput. Sci. 11386, 250--257 (2019; Zbl 1434.74103) Full Text: DOI
Alekseev, V.; Tyrylgin, A.; Vasilyeva, M. Generalized multiscale finite element method for elasticity problem in fractured media. (English) Zbl 1434.74098 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 137-144 (2019). MSC: 74S05 74A45 PDFBibTeX XMLCite \textit{V. Alekseev} et al., Lect. Notes Comput. Sci. 11386, 137--144 (2019; Zbl 1434.74098) Full Text: DOI
Hou, Thomas Y.; Ma, Dingjiong; Zhang, Zhiwen A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. (English) Zbl 1420.35083 Multiscale Model. Simul. 17, No. 2, 826-853 (2019). MSC: 35J20 65K10 65N30 65N35 65N12 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 17, No. 2, 826--853 (2019; Zbl 1420.35083) Full Text: DOI arXiv
Gallistl, Dietmar; Peterseim, Daniel Numerical stochastic homogenization by quasilocal effective diffusion tensors. (English) Zbl 1420.65110 Commun. Math. Sci. 17, No. 3, 637-651 (2019). MSC: 65N12 65N15 65N30 35B27 35R60 PDFBibTeX XMLCite \textit{D. Gallistl} and \textit{D. Peterseim}, Commun. Math. Sci. 17, No. 3, 637--651 (2019; Zbl 1420.65110) Full Text: DOI arXiv
Xue, Jufeng; Shang, Yueqiang A two-level fully discrete finite element variational multiscale method for the unsteady Navier-Stokes equations. (English) Zbl 1438.65242 Comput. Appl. Math. 38, No. 2, Paper No. 44, 25 p. (2019). MSC: 65M60 35Q30 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Y. Shang}, Comput. Appl. Math. 38, No. 2, Paper No. 44, 25 p. (2019; Zbl 1438.65242) Full Text: DOI
Paul, Swaraj; Panja, M. M.; Mandal, B. N. Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets. (English) Zbl 1438.65339 Comput. Appl. Math. 38, No. 1, Paper No. 23, 24 p. (2019). MSC: 65R20 45E05 65D15 65T60 PDFBibTeX XMLCite \textit{S. Paul} et al., Comput. Appl. Math. 38, No. 1, Paper No. 23, 24 p. (2019; Zbl 1438.65339) Full Text: DOI
Vasil’eva, M. V.; Spiridonov, D. A.; Chung, Eric T.; Efendiev, Yalchin Mixed multiscale finite element method for problems in perforated media with inhomogeneous Dirichlet boundary conditions. (Russian) Zbl 1433.76092 Mat. Zamet. SVFU 26, No. 2, 65-79 (2019). MSC: 76M10 74S05 65M60 PDFBibTeX XMLCite \textit{M. V. Vasil'eva} et al., Mat. Zamet. SVFU 26, No. 2, 65--79 (2019; Zbl 1433.76092) Full Text: DOI
Vasilyeva, Maria; Babaei, Masoud; Chung, Eric T.; Alekseev, Valentin Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum method. (English) Zbl 1421.86034 Comput. Geosci. 23, No. 4, 745-759 (2019). MSC: 86A60 65M60 76S05 80A99 86-08 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., Comput. Geosci. 23, No. 4, 745--759 (2019; Zbl 1421.86034) Full Text: DOI
Li, Ming; Zheng, Zhoushun; Pan, Kejia Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme. (English) Zbl 1422.65437 J. Appl. Math. Comput. 60, No. 1-2, 589-604 (2019). MSC: 65N55 65N06 65N30 65F10 PDFBibTeX XMLCite \textit{M. Li} et al., J. Appl. Math. Comput. 60, No. 1--2, 589--604 (2019; Zbl 1422.65437) Full Text: DOI
Verfürth, Barbara Heterogeneous multiscale method for the Maxwell equations with high contrast. (English) Zbl 1422.65415 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 35-61 (2019). MSC: 65N30 65N15 65N12 35Q61 78M40 35B27 78A45 PDFBibTeX XMLCite \textit{B. Verfürth}, ESAIM, Math. Model. Numer. Anal. 53, No. 1, 35--61 (2019; Zbl 1422.65415) Full Text: DOI arXiv
Kodjo, Kossi-Mensah; Yvonnet, Julien; Karkri, Mustapha; Sab, Karam Multiscale modeling of the thermomechanical behavior in heterogeneous media embedding phase change materials particles. (English) Zbl 1416.74087 J. Comput. Phys. 378, 303-323 (2019). MSC: 74S05 74F05 74F10 35Q79 PDFBibTeX XMLCite \textit{K.-M. Kodjo} et al., J. Comput. Phys. 378, 303--323 (2019; Zbl 1416.74087) Full Text: DOI Link
Fu, Shubin; Chung, Eric; Mai, Tina Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model. (English) Zbl 1416.74084 J. Comput. Appl. Math. 359, 153-165 (2019). MSC: 74S05 74B20 65N30 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Appl. Math. 359, 153--165 (2019; Zbl 1416.74084) Full Text: DOI arXiv
Akbari, Hani; Engsig-Karup, Allan P.; Ginting, Victor; Pereira, Felipe A multiscale direct solver for the approximation of flows in high contrast porous media. (English) Zbl 1444.76101 J. Comput. Appl. Math. 359, 88-101 (2019). MSC: 76S05 65N55 35Q35 PDFBibTeX XMLCite \textit{H. Akbari} et al., J. Comput. Appl. Math. 359, 88--101 (2019; Zbl 1444.76101) Full Text: DOI Link
Nguyen, Lam H.; Schillinger, Dominik A residual-driven local iterative corrector scheme for the multiscale finite element method. (English) Zbl 1416.65460 J. Comput. Phys. 377, 60-88 (2019). MSC: 65N30 65Y05 35J15 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, J. Comput. Phys. 377, 60--88 (2019; Zbl 1416.65460) Full Text: DOI
Meliga, P.; Hachem, E. Time-accurate calculation and bifurcation analysis of the incompressible flow over a square cavity using variational multiscale modeling. (English) Zbl 1416.76120 J. Comput. Phys. 376, 952-972 (2019). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{P. Meliga} and \textit{E. Hachem}, J. Comput. Phys. 376, 952--972 (2019; Zbl 1416.76120) Full Text: DOI HAL
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Kim, Jihoon Constrained energy minimization based upscaling for coupled flow and mechanics. (English) Zbl 1416.76163 J. Comput. Phys. 376, 660-674 (2019). MSC: 76M12 74S05 76S05 74R99 74F10 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., J. Comput. Phys. 376, 660--674 (2019; Zbl 1416.76163) Full Text: DOI arXiv
Gesenhues, Linda; Camata, José J.; Côrtes, Adriano M. A.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A. Finite element simulation of complex dense granular flows using a well-posed regularization of the \(\mu(I)\)-rheology. (English) Zbl 1519.76339 Comput. Fluids 188, 102-113 (2019). MSC: 76T25 76M10 65M60 PDFBibTeX XMLCite \textit{L. Gesenhues} et al., Comput. Fluids 188, 102--113 (2019; Zbl 1519.76339) Full Text: DOI
Steinhauser, Martin O.; Watson, Erkai Discrete particle methods for simulating quasi-static load and hypervelocity impact phenomena. (English) Zbl 07074127 Int. J. Comput. Methods 16, No. 5, Article ID 1740009, 14 p. (2019). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{M. O. Steinhauser} and \textit{E. Watson}, Int. J. Comput. Methods 16, No. 5, Article ID 1740009, 14 p. (2019; Zbl 07074127) Full Text: DOI
Maier, Roland; Peterseim, Daniel Explicit computational wave propagation in micro-heterogeneous media. (English) Zbl 1419.65041 BIT 59, No. 2, 443-462 (2019). MSC: 65M12 65M60 35L05 PDFBibTeX XMLCite \textit{R. Maier} and \textit{D. Peterseim}, BIT 59, No. 2, 443--462 (2019; Zbl 1419.65041) Full Text: DOI arXiv
Liu, Chenchen; Reina, Celia Dynamic homogenization of resonant elastic metamaterials with space/time modulation. (English) Zbl 1464.74136 Comput. Mech. 64, No. 1, 147-161 (2019). MSC: 74Q05 74E30 74S99 PDFBibTeX XMLCite \textit{C. Liu} and \textit{C. Reina}, Comput. Mech. 64, No. 1, 147--161 (2019; Zbl 1464.74136) Full Text: DOI
Spiridonov, Denis; Vasilyeva, Maria; Leung, Wing Tat A generalized multiscale finite element method (GMsFEM) for perforated domain flows with Robin boundary conditions. (English) Zbl 1426.65183 J. Comput. Appl. Math. 357, 319-328 (2019). MSC: 65N30 74S05 65N35 PDFBibTeX XMLCite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 357, 319--328 (2019; Zbl 1426.65183) Full Text: DOI
Chung, Eric T.; Pun, Sai-Mang; Zhang, Zhiwen An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations. (English) Zbl 1435.65154 J. Comput. Appl. Math. 356, 302-313 (2019). MSC: 65M60 60H35 60H15 65M50 65M75 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Comput. Appl. Math. 356, 302--313 (2019; Zbl 1435.65154) Full Text: DOI arXiv
Vasilyeva, Maria; Chung, Eric T.; Cheung, Siu Wun; Wang, Yating; Prokopev, Georgy Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media. (English) Zbl 1432.76181 J. Comput. Appl. Math. 355, 258-267 (2019). MSC: 76M12 65M08 76S05 76T99 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., J. Comput. Appl. Math. 355, 258--267 (2019; Zbl 1432.76181) Full Text: DOI arXiv
Cheung, Siu Wun; Guha, Nilabja Dynamic data-driven Bayesian GMsFEM. (English) Zbl 1432.65007 J. Comput. Appl. Math. 353, 72-85 (2019). MSC: 65C05 62F15 65M60 62-08 PDFBibTeX XMLCite \textit{S. W. Cheung} and \textit{N. Guha}, J. Comput. Appl. Math. 353, 72--85 (2019; Zbl 1432.65007) Full Text: DOI arXiv
Chen, Zheng; Hauck, Cory D. Multiscale convergence properties for spectral approximations of a model kinetic equation. (English) Zbl 1474.65382 Math. Comput. 88, No. 319, 2257-2293 (2019). MSC: 65M70 65M12 65M15 65M22 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{C. D. Hauck}, Math. Comput. 88, No. 319, 2257--2293 (2019; Zbl 1474.65382) Full Text: DOI arXiv
Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu Multiscale HDG model reduction method for flows in heterogeneous porous media. (English) Zbl 1432.76165 Appl. Numer. Math. 140, 115-133 (2019). MSC: 76M10 65M60 65M15 76S05 PDFBibTeX XMLCite \textit{M. Moon} et al., Appl. Numer. Math. 140, 115--133 (2019; Zbl 1432.76165) Full Text: DOI
Oliveira, Thiago A. A.; Gomes, Gilberto; Evangelista, Francisco jun. Multiscale aircraft fuselage fatigue analysis by the dual boundary element method. (English) Zbl 1464.74310 Eng. Anal. Bound. Elem. 104, 107-119 (2019). MSC: 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{T. A. A. Oliveira} et al., Eng. Anal. Bound. Elem. 104, 107--119 (2019; Zbl 1464.74310) Full Text: DOI
Saha, Sandip; Gangopadhyay, Gautam When an oscillating center in an open system undergoes power law decay. (English) Zbl 1414.92145 J. Math. Chem. 57, No. 3, 750-768 (2019). MSC: 92C45 34D10 PDFBibTeX XMLCite \textit{S. Saha} and \textit{G. Gangopadhyay}, J. Math. Chem. 57, No. 3, 750--768 (2019; Zbl 1414.92145) Full Text: DOI arXiv
Du, Shuimiao; Ben Dhia, Hachmi An asymptotic numerical method to solve compliant Lennard-Jones-based contact problems involving adhesive instabilities. (English) Zbl 1465.74127 Comput. Mech. 63, No. 6, 1261-1281 (2019). MSC: 74M15 74A25 74S05 74S99 PDFBibTeX XMLCite \textit{S. Du} and \textit{H. Ben Dhia}, Comput. Mech. 63, No. 6, 1261--1281 (2019; Zbl 1465.74127) Full Text: DOI HAL
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E. Tire aerodynamics with actual tire geometry, road contact and tire deformation. (English) Zbl 1469.74041 Comput. Mech. 63, No. 6, 1165-1185 (2019). MSC: 74F10 74M15 74S22 76F10 PDFBibTeX XMLCite \textit{T. Kuraishi} et al., Comput. Mech. 63, No. 6, 1165--1185 (2019; Zbl 1469.74041) Full Text: DOI
Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan M. A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. (English) Zbl 1411.76079 Comput. Geosci. 23, No. 1, 107-126 (2019). MSC: 76M12 65N08 76S05 86A05 PDFBibTeX XMLCite \textit{S. Alyaev} et al., Comput. Geosci. 23, No. 1, 107--126 (2019; Zbl 1411.76079) Full Text: DOI
Bouchnita, Anass; Volpert, Vitaly A multiscale model of platelet-fibrin thrombus growth in the flow. (English) Zbl 1411.76054 Comput. Fluids 184, 10-20 (2019). MSC: 76M10 65M60 76D05 76Z05 92C30 92C35 PDFBibTeX XMLCite \textit{A. Bouchnita} and \textit{V. Volpert}, Comput. Fluids 184, 10--20 (2019; Zbl 1411.76054) Full Text: DOI
Takizawa, Kenji; Tezduyar, Tayfun E.; Uchikawa, Hiroaki; Terahara, Takuya; Sasaki, Takafumi; Yoshida, Ayaka Mesh refinement influence and cardiac-cycle flow periodicity in aorta flow analysis with isogeometric discretization. (English) Zbl 1411.76184 Comput. Fluids 179, 790-798 (2019). MSC: 76Z05 65M60 65D07 65M50 92C35 PDFBibTeX XMLCite \textit{K. Takizawa} et al., Comput. Fluids 179, 790--798 (2019; Zbl 1411.76184) Full Text: DOI
Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.; Nagaoka, Kenichiro; Mei, Sen Turbocharger turbine and exhaust manifold flow computation with the space-time variational multiscale method and isogeometric analysis. (English) Zbl 1411.76070 Comput. Fluids 179, 764-776 (2019). MSC: 76M10 65M60 65D07 76N15 76T15 PDFBibTeX XMLCite \textit{Y. Otoguro} et al., Comput. Fluids 179, 764--776 (2019; Zbl 1411.76070) Full Text: DOI
Ma, Chupeng; Cao, Liqun; Lin, Yanping Multiscale algorithms and computations for the time-dependent Maxwell-Schrödinger system in heterogeneous nanostructures. (English) Zbl 1411.65051 SIAM J. Sci. Comput. 41, No. 2, A1091-A1120 (2019). MSC: 65F10 78M05 PDFBibTeX XMLCite \textit{C. Ma} et al., SIAM J. Sci. Comput. 41, No. 2, A1091--A1120 (2019; Zbl 1411.65051) Full Text: DOI
Sciegaj, Adam; Larsson, Fredrik; Lundgren, Karin; Nilenius, Filip; Runesson, Kenneth A multiscale model for reinforced concrete with macroscopic variation of reinforcement slip. (English) Zbl 1468.74011 Comput. Mech. 63, No. 2, 139-158 (2019). MSC: 74E30 74Q15 74S05 PDFBibTeX XMLCite \textit{A. Sciegaj} et al., Comput. Mech. 63, No. 2, 139--158 (2019; Zbl 1468.74011) Full Text: DOI
Zhang, Tao; Li, Xiaolin Meshless analysis of Darcy flow with a variational multiscale interpolating element-free Galerkin method. (English) Zbl 1464.76067 Eng. Anal. Bound. Elem. 100, 237-245 (2019). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{X. Li}, Eng. Anal. Bound. Elem. 100, 237--245 (2019; Zbl 1464.76067) Full Text: DOI
Marques, M.; Belinha, J.; Oliveira, A. F.; Manzanares Céspedes, M. C.; Natal Jorge, R. M. A multiscale homogenization procedure combining the fabric tensor with a natural neighbour meshless method. (English) Zbl 1464.92006 Eng. Anal. Bound. Elem. 100, 211-224 (2019). MSC: 92-08 92C10 65N35 PDFBibTeX XMLCite \textit{M. Marques} et al., Eng. Anal. Bound. Elem. 100, 211--224 (2019; Zbl 1464.92006) Full Text: DOI
Chung, Eric T.; Lee, Chak Shing A mixed generalized multiscale finite element method for planar linear elasticity. (English) Zbl 1418.74035 J. Comput. Appl. Math. 348, 298-313 (2019). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{E. T. Chung} and \textit{C. S. Lee}, J. Comput. Appl. Math. 348, 298--313 (2019; Zbl 1418.74035) Full Text: DOI
Chung, Eric T.; Li, Yanbo Adaptive generalized multiscale finite element methods for \(\mathrm{H(curl)}\)-elliptic problems with heterogeneous coefficients. (English) Zbl 1402.65154 J. Comput. Appl. Math. 345, 357-373 (2019). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{E. T. Chung} and \textit{Y. Li}, J. Comput. Appl. Math. 345, 357--373 (2019; Zbl 1402.65154) Full Text: DOI arXiv