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
Hernández Ramírez, Juan David Finite element method for the reaction-diffusion equation in heterogeneous media. (Spanish. English summary) Zbl 07802846 Bol. Mat. (N.S.) 25, No. 2, 123-138 (2018). MSC: 65M60 35K57 35K58 74N25 74S05 PDFBibTeX XMLCite \textit{J. D. Hernández Ramírez}, Bol. Mat. (N.S.) 25, No. 2, 123--138 (2018; Zbl 07802846) Full Text: Link
Stalter, S.; Yelash, L.; Emamy, N.; Statt, A.; Hanke, M.; Lukáčová-Medvid’ová, M.; Virnau, P. Molecular dynamics simulations in hybrid particle-continuum schemes: pitfalls and caveats. (English) Zbl 07694304 Comput. Phys. Commun. 224, 198-208 (2018). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{S. Stalter} et al., Comput. Phys. Commun. 224, 198--208 (2018; Zbl 07694304) Full Text: DOI arXiv
Rom, Michael; Müller, Siegfried A reduced basis method for the homogenized Reynolds equation applied to textured surfaces. (English) Zbl 1488.35048 Commun. Comput. Phys. 24, No. 2, 481-509 (2018). MSC: 35B27 76D08 76M50 PDFBibTeX XMLCite \textit{M. Rom} and \textit{S. Müller}, Commun. Comput. Phys. 24, No. 2, 481--509 (2018; Zbl 1488.35048) Full Text: DOI
Jiang, Shan; Protasov, Anastasiya; Sun, Meiling Balanced truncation based on generalized multiscale finite element method for the parameter-dependent elliptic problem. (English) Zbl 1488.65626 Adv. Appl. Math. Mech. 10, No. 6, 1527-1548 (2018). MSC: 65N30 35J25 65N12 65F15 93B05 93B07 PDFBibTeX XMLCite \textit{S. Jiang} et al., Adv. Appl. Math. Mech. 10, No. 6, 1527--1548 (2018; Zbl 1488.65626) Full Text: DOI
Ohlberger, Mario; Verfurth, Barbara A new heterogeneous multiscale method for the Helmholtz equation with high contrast. (English) Zbl 1445.35131 Multiscale Model. Simul. 16, No. 1, 385-411 (2018). MSC: 35J05 35B27 65N12 65N15 65N30 78M40 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Verfurth}, Multiscale Model. Simul. 16, No. 1, 385--411 (2018; Zbl 1445.35131) Full Text: arXiv
Bjørstad, Petter E.; Gander, Martin J.; Loneland, Atle; Rahman, Talal Does SHEM for additive Schwarz work better than predicted by its condition number estimate? (English) Zbl 1443.65415 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 129-137 (2018). MSC: 65N55 65N30 65F10 65F08 65F35 15A18 35J25 35J20 PDFBibTeX XMLCite \textit{P. E. Bjørstad} et al., Lect. Notes Comput. Sci. Eng. 125, 129--137 (2018; Zbl 1443.65415) Full Text: DOI
Patil, R. U.; Mishra, B. K.; Singh, I. V. A local moving extended phase field method (LMXPFM) for failure analysis of brittle materials. (English) Zbl 1440.74347 Comput. Methods Appl. Mech. Eng. 342, 674-709 (2018). MSC: 74R05 74S99 PDFBibTeX XMLCite \textit{R. U. Patil} et al., Comput. Methods Appl. Mech. Eng. 342, 674--709 (2018; Zbl 1440.74347) Full Text: DOI
Colomés, Oriol; Scovazzi, Guglielmo; Guilleminot, Johann On the robustness of variational multiscale error estimators for the forward propagation of uncertainty. (English) Zbl 1440.65196 Comput. Methods Appl. Mech. Eng. 342, 384-413 (2018). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{O. Colomés} et al., Comput. Methods Appl. Mech. Eng. 342, 384--413 (2018; Zbl 1440.65196) Full Text: DOI
ten Eikelder, M. F. P.; Akkerman, I. Correct energy evolution of stabilized formulations: the relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier-Stokes equations. (English) Zbl 1440.76085 Comput. Methods Appl. Mech. Eng. 340, 1135-1154 (2018). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. F. P. ten Eikelder} and \textit{I. Akkerman}, Comput. Methods Appl. Mech. Eng. 340, 1135--1154 (2018; Zbl 1440.76085) Full Text: DOI arXiv
Liu, Xia; Sun, W. K.; Liew, K. M. Multiscale modeling of crystal plastic deformation of polycrystalline titanium at high temperatures. (English) Zbl 1440.74090 Comput. Methods Appl. Mech. Eng. 340, 932-955 (2018). MSC: 74C15 74S99 74F05 PDFBibTeX XMLCite \textit{X. Liu} et al., Comput. Methods Appl. Mech. Eng. 340, 932--955 (2018; Zbl 1440.74090) Full Text: DOI
Ma, Lingling; Li, Qiuqi; Jiang, Lijian Local-global model reduction method for stochastic optimal control problems constrained by partial differential equations. (English) Zbl 1440.49039 Comput. Methods Appl. Mech. Eng. 339, 514-541 (2018). MSC: 49M25 65N30 65N75 PDFBibTeX XMLCite \textit{L. Ma} et al., Comput. Methods Appl. Mech. Eng. 339, 514--541 (2018; Zbl 1440.49039) Full Text: DOI arXiv
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat Constraint energy minimizing generalized multiscale finite element method. (English) Zbl 1440.65195 Comput. Methods Appl. Mech. Eng. 339, 298-319 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{E. T. Chung} et al., Comput. Methods Appl. Mech. Eng. 339, 298--319 (2018; Zbl 1440.65195) Full Text: DOI arXiv
Liu, Ju; Marsden, Alison L. A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction. (English) Zbl 1440.74013 Comput. Methods Appl. Mech. Eng. 337, 549-597 (2018); corrigendum ibid. 375, Article ID 113520, 2 p. (2021). MSC: 74A20 74S05 65M60 74F10 76A02 PDFBibTeX XMLCite \textit{J. Liu} and \textit{A. L. Marsden}, Comput. Methods Appl. Mech. Eng. 337, 549--597 (2018; Zbl 1440.74013) Full Text: DOI arXiv
Schmid, Q.; Mesri, Y.; Hachem, E.; Codina, R. Stabilized mixed finite element method for the \(M_1\) radiation model. (English) Zbl 1440.80002 Comput. Methods Appl. Mech. Eng. 335, 69-90 (2018). MSC: 80M10 80M12 80A21 65M60 45K05 80A05 PDFBibTeX XMLCite \textit{Q. Schmid} et al., Comput. Methods Appl. Mech. Eng. 335, 69--90 (2018; Zbl 1440.80002) Full Text: DOI
Wang, Kun; Sun, WaiChing A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning. (English) Zbl 1440.74130 Comput. Methods Appl. Mech. Eng. 334, 337-380 (2018). MSC: 74F10 74S05 74L10 PDFBibTeX XMLCite \textit{K. Wang} and \textit{W. Sun}, Comput. Methods Appl. Mech. Eng. 334, 337--380 (2018; Zbl 1440.74130) Full Text: DOI DOI
Li, Hao; Luo, Zhen; Gao, Liang; Qin, Qinghua Topology optimization for concurrent design of structures with multi-patch microstructures by level sets. (English) Zbl 1439.74284 Comput. Methods Appl. Mech. Eng. 331, 536-561 (2018). MSC: 74P15 74M25 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Methods Appl. Mech. Eng. 331, 536--561 (2018; Zbl 1439.74284) Full Text: DOI Link
ten Eikelder, M. F. P.; Akkerman, I. Correct energy evolution of stabilized formulations: the relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective-diffusive context. (English) Zbl 1439.76098 Comput. Methods Appl. Mech. Eng. 331, 259-280 (2018). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. F. P. ten Eikelder} and \textit{I. Akkerman}, Comput. Methods Appl. Mech. Eng. 331, 259--280 (2018; Zbl 1439.76098) Full Text: DOI arXiv Link
Nguyen, Lam H.; Schillinger, Dominik A multiscale predictor/corrector scheme for efficient elastoplastic voxel finite element analysis, with application to CT-based bone strength prediction. (English) Zbl 1439.74206 Comput. Methods Appl. Mech. Eng. 330, 598-628 (2018). MSC: 74L15 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, Comput. Methods Appl. Mech. Eng. 330, 598--628 (2018; Zbl 1439.74206) Full Text: DOI
Eidel, Bernhard; Fischer, Andreas The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE\(^2\) method. (English) Zbl 1439.74322 Comput. Methods Appl. Mech. Eng. 329, 332-368 (2018). MSC: 74Q05 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{B. Eidel} and \textit{A. Fischer}, Comput. Methods Appl. Mech. Eng. 329, 332--368 (2018; Zbl 1439.74322) Full Text: DOI arXiv
Ademiloye, A. S.; Zhang, L. W.; Liew, K. M. A multiscale framework for large deformation modeling of RBC membranes. (English) Zbl 1439.74380 Comput. Methods Appl. Mech. Eng. 329, 144-167 (2018). MSC: 74S05 65N30 74K15 74L15 PDFBibTeX XMLCite \textit{A. S. Ademiloye} et al., Comput. Methods Appl. Mech. Eng. 329, 144--167 (2018; Zbl 1439.74380) Full Text: DOI
Chen, Pinlei; Truster, Timothy J.; Masud, Arif Interfacial stabilization at finite strains for weak and strong discontinuities in multi-constituent materials. (English) Zbl 1439.74034 Comput. Methods Appl. Mech. Eng. 328, 717-751 (2018). MSC: 74A50 74S05 PDFBibTeX XMLCite \textit{P. Chen} et al., Comput. Methods Appl. Mech. Eng. 328, 717--751 (2018; Zbl 1439.74034) Full Text: DOI
Yang, Zhiqiang; Cui, Junzhi; Sun, Yi; Dong, Hao Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method. (English) Zbl 1430.74009 Acta Mech. 229, No. 11, 4495-4519 (2018). MSC: 74A25 74E35 74S60 PDFBibTeX XMLCite \textit{Z. Yang} et al., Acta Mech. 229, No. 11, 4495--4519 (2018; Zbl 1430.74009) Full Text: DOI
Kanchana, C. Transforming analytically intractable dynamical systems with a control parameter into a tractable Ginzburg-Landau equation: few illustration. (English) Zbl 1433.34056 Nepali Math. Sci. Rep. 35, No. 1-2, 35-44 (2018). MSC: 34C20 PDFBibTeX XMLCite \textit{C. Kanchana}, Nepali Math. Sci. Rep. 35, No. 1--2, 35--44 (2018; Zbl 1433.34056)
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon On the implementation of a multiscale hybrid high-order method. (English) Zbl 1456.65158 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 509-517 (2018). MSC: 65N30 65N50 65N08 35J15 PDFBibTeX XMLCite \textit{M. Cicuttin} et al., Lect. Notes Comput. Sci. Eng. 126, 509--517 (2018; Zbl 1456.65158) Full Text: DOI HAL
Dong, Qiaoli; Cao, Liqun; Wang, Xin; Huang, Jizu Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients. (English) Zbl 1427.74164 Appl. Math. Comput. 336, 16-35 (2018). MSC: 74S05 65M60 65M12 74J05 35Q74 PDFBibTeX XMLCite \textit{Q. Dong} et al., Appl. Math. Comput. 336, 16--35 (2018; Zbl 1427.74164) Full Text: DOI
Song, Fei; He, Xiaoxiao; Zhang, Zhen A combined multiscale finite element method based on the rectangle mesh for the multiscale elliptic problems. (English) Zbl 1438.65293 Numer. Math., Nanjing 40, No. 4, 364-384 (2018). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{F. Song} et al., Numer. Math., Nanjing 40, No. 4, 364--384 (2018; Zbl 1438.65293)
Valli, Andrea M. P.; Almeida, Regina C.; Santos, Isaac P.; Catabriga, Lucia; Malta, Sandra M. C.; Coutinho, Alvaro L. G. A. A parameter-free dynamic diffusion method for advection-diffusion-reaction problems. (English) Zbl 1418.65184 Comput. Math. Appl. 75, No. 1, 307-321 (2018). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{A. M. P. Valli} et al., Comput. Math. Appl. 75, No. 1, 307--321 (2018; Zbl 1418.65184) Full Text: DOI
Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale computation of pore-scale fluid dynamics: single-phase flow. (English) Zbl 1416.76219 J. Comput. Phys. 375, 1469-1487 (2018). MSC: 76M25 76S05 76D05 65M55 PDFBibTeX XMLCite \textit{Y. Mehmani} and \textit{H. A. Tchelepi}, J. Comput. Phys. 375, 1469--1487 (2018; Zbl 1416.76219) Full Text: DOI
Ma, Ying; Su, Chunmei A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime. (English) Zbl 1419.65084 Comput. Math. Appl. 76, No. 3, 602-619 (2018). MSC: 65M70 65M06 65M12 65M15 35Q55 76G25 76L05 82D10 35Q82 35Q35 35Q60 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{C. Su}, Comput. Math. Appl. 76, No. 3, 602--619 (2018; Zbl 1419.65084) Full Text: DOI
Dhakal, Tilak R.; Zhang, Duan Z. Combining dual domain material point method with molecular dynamics for thermodynamic nonequilibriums. (English) Zbl 1416.74105 J. Comput. Phys. 374, 984-995 (2018). MSC: 74S30 74A25 74C15 PDFBibTeX XMLCite \textit{T. R. Dhakal} and \textit{D. Z. Zhang}, J. Comput. Phys. 374, 984--995 (2018; Zbl 1416.74105) Full Text: DOI Link
Hosseinverdi, Shirzad; Fasel, Hermann F. An efficient, high-order method for solving Poisson equation for immersed boundaries: combination of compact difference and multiscale multigrid methods. (English) Zbl 1416.65498 J. Comput. Phys. 374, 912-940 (2018). MSC: 65N55 65N06 35J05 PDFBibTeX XMLCite \textit{S. Hosseinverdi} and \textit{H. F. Fasel}, J. Comput. Phys. 374, 912--940 (2018; Zbl 1416.65498) Full Text: DOI
Ba, Yuming; Jiang, Lijian; Ou, Na A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations. (English) Zbl 1416.65163 J. Comput. Phys. 374, 300-330 (2018). MSC: 65J22 62F15 62M20 PDFBibTeX XMLCite \textit{Y. Ba} et al., J. Comput. Phys. 374, 300--330 (2018; Zbl 1416.65163) Full Text: DOI arXiv
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). (English) Zbl 1416.76151 J. Comput. Phys. 373, 324-345 (2018). MSC: 76M12 76S05 65M50 65M55 PDFBibTeX XMLCite \textit{M. HosseiniMehr} et al., J. Comput. Phys. 373, 324--345 (2018; Zbl 1416.76151) Full Text: DOI Link
Filbet, Francis; Xiong, Tao A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations. (English) Zbl 1415.76452 J. Comput. Phys. 372, 841-863 (2018). MSC: 76M10 82C40 65M60 76N15 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{T. Xiong}, J. Comput. Phys. 372, 841--863 (2018; Zbl 1415.76452) Full Text: DOI arXiv
Maeda, Kazuki; Colonius, Tim Eulerian-Lagrangian method for simulation of cloud cavitation. (English) Zbl 1415.76653 J. Comput. Phys. 371, 994-1017 (2018). MSC: 76T10 76M12 65M08 PDFBibTeX XMLCite \textit{K. Maeda} and \textit{T. Colonius}, J. Comput. Phys. 371, 994--1017 (2018; Zbl 1415.76653) Full Text: DOI arXiv Link
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Zhang, Zhiwen Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. (English) Zbl 1415.65251 J. Comput. Phys. 371, 606-617 (2018). MSC: 65N30 65N55 65N15 60H15 35J15 35R60 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Comput. Phys. 371, 606--617 (2018; Zbl 1415.65251) Full Text: DOI arXiv
Yang, Zhiqiang; Wang, Ziqiang; Yang, Zihao; Sun, Yi Multiscale analysis and computation for coupled conduction, convection and radiation heat transfer problem in porous materials. (English) Zbl 1426.80013 Appl. Math. Comput. 326, 56-74 (2018). MSC: 80M10 65N30 65N15 80A20 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Math. Comput. 326, 56--74 (2018; Zbl 1426.80013) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae; Shin, Dong-wook Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations. (English) Zbl 1409.65106 Comput. Math. Appl. 75, No. 2, 401-418 (2018). MSC: 65N55 65N12 65N15 35J57 35Q35 PDFBibTeX XMLCite \textit{M. Arshad} et al., Comput. Math. Appl. 75, No. 2, 401--418 (2018; Zbl 1409.65106) Full Text: DOI
Lanteri, Stéphane; Paredes, Diego; Scheid, Claire; Valentin, Frédéric The multiscale hybrid-mixed method for the Maxwell equations in heterogeneous media. (English) Zbl 1412.65188 Multiscale Model. Simul. 16, No. 4, 1648-1683 (2018). MSC: 65N12 65N15 65N30 65M06 35Q61 78M10 PDFBibTeX XMLCite \textit{S. Lanteri} et al., Multiscale Model. Simul. 16, No. 4, 1648--1683 (2018; Zbl 1412.65188) Full Text: DOI
Li, Zhilin; Chen, Xiaohong; Zhang, Zhengru On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient. (English) Zbl 1412.65083 Multiscale Model. Simul. 16, No. 4, 1623-1647 (2018). MSC: 65M06 76M20 65N06 65M12 PDFBibTeX XMLCite \textit{Z. Li} et al., Multiscale Model. Simul. 16, No. 4, 1623--1647 (2018; Zbl 1412.65083) Full Text: DOI
Magiera, Jim; Rohde, Christian A particle-based multiscale solver for compressible liquid-vapor flow. (English) Zbl 1407.76123 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 291-304 (2018). MSC: 76M28 35Q35 76T10 PDFBibTeX XMLCite \textit{J. Magiera} and \textit{C. Rohde}, Springer Proc. Math. Stat. 237, 291--304 (2018; Zbl 1407.76123) Full Text: DOI arXiv
Praditia, Timothy; Helmig, Rainer; Hajibeygi, Hadi Multiscale formulation for coupled flow-heat equations arising from single-phase flow in fractured geothermal reservoirs. (English) Zbl 1406.86020 Comput. Geosci. 22, No. 5, 1305-1322 (2018). MSC: 86A20 65M08 76S05 PDFBibTeX XMLCite \textit{T. Praditia} et al., Comput. Geosci. 22, No. 5, 1305--1322 (2018; Zbl 1406.86020) Full Text: DOI
Liu, Liu Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling. (English) Zbl 1408.37138 Kinet. Relat. Models 11, No. 5, 1139-1156 (2018). MSC: 37L65 35Q20 65M60 PDFBibTeX XMLCite \textit{L. Liu}, Kinet. Relat. Models 11, No. 5, 1139--1156 (2018; Zbl 1408.37138) Full Text: DOI arXiv
Presho, Michael Inverse modeling of tracer flow via a mass conservative generalized multiscale finite volume/element method and stochastic collocation. (English) Zbl 1413.35164 Comput. Appl. Math. 37, No. 5, 6738-6759 (2018). MSC: 35J25 65M32 PDFBibTeX XMLCite \textit{M. Presho}, Comput. Appl. Math. 37, No. 5, 6738--6759 (2018; Zbl 1413.35164) Full Text: DOI
Gigante, Giacomo; Vergara, Christian Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction. (English) Zbl 1407.65260 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1597-1615 (2018). MSC: 65N55 65N12 65N30 65N15 PDFBibTeX XMLCite \textit{G. Gigante} and \textit{C. Vergara}, ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1597--1615 (2018; Zbl 1407.65260) Full Text: DOI Link
Ohlberger, Mario; Schaefer, Michael; Schindler, Felix Localized model reduction in PDE constrained optimization. (English) Zbl 1407.49030 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 143-163 (2018). MSC: 49K20 65K10 65N30 49N20 93A15 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., ISNM, Int. Ser. Numer. Math. 169, 143--163 (2018; Zbl 1407.49030) Full Text: DOI
Chung, Eric; Efendiev, Yalchin; Leung, Wing Tat Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. (English) Zbl 1405.76049 Comput. Geosci. 22, No. 3, 677-693 (2018). MSC: 76S05 65N30 PDFBibTeX XMLCite \textit{E. Chung} et al., Comput. Geosci. 22, No. 3, 677--693 (2018; Zbl 1405.76049) Full Text: DOI arXiv
Ben Dhia, Hachmi; Du, Shuimiao A model-adaptivity method for the solution of Lennard-Jones based adhesive contact problems. (English) Zbl 1462.74120 Comput. Mech. 62, No. 6, 1543-1562 (2018). MSC: 74M15 74A50 PDFBibTeX XMLCite \textit{H. Ben Dhia} and \textit{S. Du}, Comput. Mech. 62, No. 6, 1543--1562 (2018; Zbl 1462.74120) Full Text: DOI
Li, Guanglian; Peterseim, Daniel; Schedensack, Mira Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions. (English) Zbl 1477.65228 IMA J. Numer. Anal. 38, No. 3, 1229-1253 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{G. Li} et al., IMA J. Numer. Anal. 38, No. 3, 1229--1253 (2018; Zbl 1477.65228) Full Text: DOI arXiv Link
Shang, Yueqiang A three-step Oseen correction method for the steady Navier-Stokes equations. (English) Zbl 1400.76043 J. Eng. Math. 111, 145-163 (2018). MSC: 76M10 35Q30 65N30 76D05 PDFBibTeX XMLCite \textit{Y. Shang}, J. Eng. Math. 111, 145--163 (2018; Zbl 1400.76043) Full Text: DOI
Olson, Derek; Li, Xingjie; Ortner, Christoph; Van Koten, Brian Force-based atomistic/continuum blending for multilattices. (English) Zbl 1402.65136 Numer. Math. 140, No. 3, 703-754 (2018). MSC: 65N12 74S30 65N15 82D80 74M25 82D25 74E15 81V45 PDFBibTeX XMLCite \textit{D. Olson} et al., Numer. Math. 140, No. 3, 703--754 (2018; Zbl 1402.65136) Full Text: DOI arXiv Link
Cai, Yongyong; Wang, Yan A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime. (English) Zbl 1404.35377 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 543-566 (2018). MSC: 35Q40 65M70 65N35 35B45 35Q41 81Q05 35S30 65M12 65N12 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Y. Wang}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 543--566 (2018; Zbl 1404.35377) Full Text: DOI
Köbler, Jonathan; Schneider, Matti; Ospald, Felix; Andrä, Heiko; Müller, Ralf Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts. (English) Zbl 1446.74024 Comput. Mech. 61, No. 6, 729-750 (2018). MSC: 74-10 74D10 74A40 74Q05 74S25 PDFBibTeX XMLCite \textit{J. Köbler} et al., Comput. Mech. 61, No. 6, 729--750 (2018; Zbl 1446.74024) Full Text: DOI
Jiang, Shan; Yu, Luyang; Sun, Meiling Multiscale finite element computation for a type of free boundary problem in heat conduction. (Chinese. English summary) Zbl 1413.65365 J. Yangzhou Univ., Nat. Sci. Ed. 21, No. 1, 11-14, 25 (2018). MSC: 65M60 65M06 65L06 35Q79 80A20 35R35 PDFBibTeX XMLCite \textit{S. Jiang} et al., J. Yangzhou Univ., Nat. Sci. Ed. 21, No. 1, 11--14, 25 (2018; Zbl 1413.65365) Full Text: DOI
Stoter, Stein K. F.; Turteltaub, Sergio R.; Hulshoff, Steven J.; Schillinger, Dominik Residual-based variational multiscale modeling in a discontinuous Galerkin framework. (English) Zbl 1433.65227 Multiscale Model. Simul. 16, No. 3, 1333-1364 (2018). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65M60 65M80 65M06 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Multiscale Model. Simul. 16, No. 3, 1333--1364 (2018; Zbl 1433.65227) Full Text: DOI arXiv
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat An adaptive generalized multiscale discontinuous Galerkin method for high-contrast flow problems. (English) Zbl 1407.65257 Multiscale Model. Simul. 16, No. 3, 1227-1257 (2018). Reviewer: Noureddine Daili (Sétif) MSC: 65N30 65N12 65N15 35Q35 PDFBibTeX XMLCite \textit{E. T. Chung} et al., Multiscale Model. Simul. 16, No. 3, 1227--1257 (2018; Zbl 1407.65257) Full Text: DOI arXiv Link