Rong, Y.; Fiordilino, J. A.; Shi, F.; Cao, Y. A modular Voigt regularization of the Crank-Nicolson finite element method for the Navier-Stokes equations. (English) Zbl 07568993 J. Sci. Comput. 92, No. 3, Paper No. 101, 35 p. (2022). MSC: 65M12 65M60 76D05 PDF BibTeX XML Cite \textit{Y. Rong} et al., J. Sci. Comput. 92, No. 3, Paper No. 101, 35 p. (2022; Zbl 07568993) Full Text: DOI OpenURL
Barnafi, N. A.; Gómez-Vargas, B.; Lourenço, W. J.; Reis, R. F.; Rocha, B. M.; Lobosco, M.; Ruiz-Baier, R.; dos Santos, R. Weber Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema. (English) Zbl 07568984 J. Sci. Comput. 92, No. 3, Paper No. 92, 40 p. (2022). MSC: 92C10 65M60 74L15 35K57 PDF BibTeX XML Cite \textit{N. A. Barnafi} et al., J. Sci. Comput. 92, No. 3, Paper No. 92, 40 p. (2022; Zbl 07568984) Full Text: DOI OpenURL
Zhang, Jiehua A family of quadratic finite volume method for solving the Stokes equation. (English) Zbl 07546683 Comput. Math. Appl. 117, 155-186 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Zhang}, Comput. Math. Appl. 117, 155--186 (2022; Zbl 07546683) Full Text: DOI OpenURL
Haçat, Gülnur; Yılmaz, Fikriye; Çıbık, Aytekin; Kaya, Songül Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization. (English) Zbl 07545305 Appl. Math. Comput. 430, Article ID 127240, 21 p. (2022). MSC: 65M60 76D05 49J20 PDF BibTeX XML Cite \textit{G. Haçat} et al., Appl. Math. Comput. 430, Article ID 127240, 21 p. (2022; Zbl 07545305) Full Text: DOI OpenURL
Zheng, Bo; Qin, Jin; Shang, Yueqiang Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations. (English) Zbl 07539436 Adv. Comput. Math. 48, No. 3, Paper No. 35, 35 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 65N12 65Y05 PDF BibTeX XML Cite \textit{B. Zheng} et al., Adv. Comput. Math. 48, No. 3, Paper No. 35, 35 p. (2022; Zbl 07539436) Full Text: DOI OpenURL
Chen, Chuanjun; Zhang, Tong Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model. (English) Zbl 07537596 Appl. Math. Comput. 429, Article ID 127238, 22 p. (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{C. Chen} and \textit{T. Zhang}, Appl. Math. Comput. 429, Article ID 127238, 22 p. (2022; Zbl 07537596) Full Text: DOI OpenURL
Manzini, Gianmarco; Mazzia, Annamaria A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. (English) Zbl 07524355 J. Comput. Dyn. 9, No. 2, 207-238 (2022). Reviewer: Francesca Gardini (Pavia) MSC: 65N30 65N22 65N12 65N15 76D07 76M10 35B45 35Q35 PDF BibTeX XML Cite \textit{G. Manzini} and \textit{A. Mazzia}, J. Comput. Dyn. 9, No. 2, 207--238 (2022; Zbl 07524355) Full Text: DOI OpenURL
DeCaria, Victor; Gottlieb, Sigal; Grant, Zachary J.; Layton, William J. A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. (English) Zbl 07518071 J. Comput. Phys. 455, Article ID 110927, 26 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{V. DeCaria} et al., J. Comput. Phys. 455, Article ID 110927, 26 p. (2022; Zbl 07518071) Full Text: DOI OpenURL
Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C. An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. (English) Zbl 07516795 J. Comput. Phys. 448, Article ID 110705, 25 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDF BibTeX XML Cite \textit{F. Massa} et al., J. Comput. Phys. 448, Article ID 110705, 25 p. (2022; Zbl 07516795) Full Text: DOI OpenURL
Erkmen, Dilek; Labovsky, Alexander E. Improving regularization techniques for incompressible fluid flows via defect correction. (English) Zbl 1485.65105 Comput. Methods Appl. Math. 22, No. 2, 341-355 (2022). MSC: 65M60 76D05 76F65 PDF BibTeX XML Cite \textit{D. Erkmen} and \textit{A. E. Labovsky}, Comput. Methods Appl. Math. 22, No. 2, 341--355 (2022; Zbl 1485.65105) Full Text: DOI OpenURL
Engström, Emil; Hansen, Eskil Convergence analysis of the nonoverlapping Robin-Robin method for nonlinear elliptic equations. (English) Zbl 07498294 SIAM J. Numer. Anal. 60, No. 2, 585-605 (2022). MSC: 65N55 65J15 65N12 35J70 47N20 PDF BibTeX XML Cite \textit{E. Engström} and \textit{E. Hansen}, SIAM J. Numer. Anal. 60, No. 2, 585--605 (2022; Zbl 07498294) Full Text: DOI OpenURL
Burman, Erik; Frei, Stefan; Massing, Andre Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. (English) Zbl 07493698 Numer. Math. 150, No. 2, 423-478 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{E. Burman} et al., Numer. Math. 150, No. 2, 423--478 (2022; Zbl 07493698) Full Text: DOI arXiv OpenURL
Hu, Tianyi; Leng, Yu; Gomez, Hector A novel method to impose boundary conditions for higher-order partial differential equations. (English) Zbl 07487666 Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{T. Hu} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022; Zbl 07487666) Full Text: DOI OpenURL
Sun, Lingling; Yang, Yidu The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. (English) Zbl 07484255 Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022). MSC: 65Nxx 35Jxx 35Pxx PDF BibTeX XML Cite \textit{L. Sun} and \textit{Y. Yang}, Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022; Zbl 07484255) Full Text: DOI OpenURL
Chernobai, Misha; Shilkin, Timofey Scalar elliptic equations with a singular drift. (English) Zbl 1485.35161 Complex Var. Elliptic Equ. 67, No. 1, 9-33 (2022). MSC: 35J25 35A01 PDF BibTeX XML Cite \textit{M. Chernobai} and \textit{T. Shilkin}, Complex Var. Elliptic Equ. 67, No. 1, 9--33 (2022; Zbl 1485.35161) Full Text: DOI arXiv OpenURL
Jiang, Nan; Qiu, Changxin Numerical analysis of a second order ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations. (English) Zbl 1483.76039 J. Comput. Appl. Math. 406, Article ID 113934, 21 p. (2022). MSC: 76M10 76S05 76M35 65M12 PDF BibTeX XML Cite \textit{N. Jiang} and \textit{C. Qiu}, J. Comput. Appl. Math. 406, Article ID 113934, 21 p. (2022; Zbl 1483.76039) Full Text: DOI OpenURL
Boukrouche, Mahdi; Debbiche, Hanene; Paoli, Laetitia Unsteady non-Newtonian fluid flows with boundary conditions of friction type: the case of shear thickening fluids. (English) Zbl 1481.76009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112701, 22 p. (2022). MSC: 76A05 76M30 35Q35 PDF BibTeX XML Cite \textit{M. Boukrouche} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112701, 22 p. (2022; Zbl 1481.76009) Full Text: DOI arXiv OpenURL
Nair, M. Thamban; Shylaja, Devika Conforming and nonconforming finite element methods for biharmonic inverse source problem. (English) Zbl 07455590 Inverse Probl. 38, No. 2, Article ID 025001, 36 p. (2022). MSC: 65N21 65N20 65J20 65N30 65N15 31A30 35R25 PDF BibTeX XML Cite \textit{M. T. Nair} and \textit{D. Shylaja}, Inverse Probl. 38, No. 2, Article ID 025001, 36 p. (2022; Zbl 07455590) Full Text: DOI arXiv OpenURL
Li, Xiaoli; Shen, Jie; Liu, Zhengguang New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. (English) Zbl 1479.35625 Math. Comput. 91, No. 333, 141-167 (2022). MSC: 35Q30 65M06 65N06 65M12 65M15 65J15 35B35 76D05 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Comput. 91, No. 333, 141--167 (2022; Zbl 1479.35625) Full Text: DOI arXiv OpenURL
Aggul, Mustafa A grad-div stabilized penalty projection algorithm for fluid-fluid interaction. (English) Zbl 07428132 Appl. Math. Comput. 414, Article ID 126670, 8 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{M. Aggul}, Appl. Math. Comput. 414, Article ID 126670, 8 p. (2022; Zbl 07428132) Full Text: DOI OpenURL
Adak, Dibyendu; Mora, David; Natarajan, Sundararajan; Silgado, Alberth A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation. (English) Zbl 1483.65152 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2535-2566 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 35Q30 PDF BibTeX XML Cite \textit{D. Adak} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2535--2566 (2021; Zbl 1483.65152) Full Text: DOI OpenURL
Beirão da Veiga, L.; Dassi, F.; Vacca, G. Vorticity-stabilized virtual elements for the Oseen equation. (English) Zbl 1480.65329 Math. Models Methods Appl. Sci. 31, No. 14, 3009-3052 (2021). MSC: 65N30 76D05 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 31, No. 14, 3009--3052 (2021; Zbl 1480.65329) Full Text: DOI OpenURL
Huang, Fukeng; Shen, Jie Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. (English) Zbl 07453432 SIAM J. Numer. Anal. 59, No. 6, 2926-2954 (2021). MSC: 65M70 65M06 65N35 65M15 76D05 76M22 PDF BibTeX XML Cite \textit{F. Huang} and \textit{J. Shen}, SIAM J. Numer. Anal. 59, No. 6, 2926--2954 (2021; Zbl 07453432) Full Text: DOI arXiv OpenURL
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio A constrained Cosserat shell model up to order \(O(h^5)\): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor. (English) Zbl 1483.74062 J. Elasticity 146, No. 1, 83-141 (2021). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74K25 74G65 74B20 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., J. Elasticity 146, No. 1, 83--141 (2021; Zbl 1483.74062) Full Text: DOI arXiv OpenURL
Hong, Eunhye; Lee, Eunjung; Jung, Younghoon; Lim, Mikyoung Numerical solution to the interface problem in a general domain using Moser’s deformation method. (English) Zbl 1475.65216 J. Appl. Math. Comput. 65, No. 1-2, 379-401 (2021). MSC: 65N80 30C30 35J15 35Q35 PDF BibTeX XML Cite \textit{E. Hong} et al., J. Appl. Math. Comput. 65, No. 1--2, 379--401 (2021; Zbl 1475.65216) Full Text: DOI OpenURL
Sayah, Toni A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem. (English) Zbl 1476.76051 Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021). MSC: 76M10 76D05 65M15 76S05 PDF BibTeX XML Cite \textit{T. Sayah}, Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021; Zbl 1476.76051) Full Text: DOI arXiv OpenURL
Jiang, Nan; Yang, Huanhuan SAV decoupled ensemble algorithms for fast computation of Stokes-Darcy flow ensembles. (English) Zbl 07427388 Comput. Methods Appl. Mech. Eng. 387, Article ID 114150, 34 p. (2021). MSC: 65C20 65M12 65M60 76D07 PDF BibTeX XML Cite \textit{N. Jiang} and \textit{H. Yang}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114150, 34 p. (2021; Zbl 07427388) Full Text: DOI OpenURL
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. The stationary Boussinesq problem under singular forcing. (English) Zbl 1473.35432 Math. Models Methods Appl. Sci. 31, No. 4, 789-827 (2021). MSC: 35Q35 35Q30 35R06 76Dxx 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Allendes} et al., Math. Models Methods Appl. Sci. 31, No. 4, 789--827 (2021; Zbl 1473.35432) Full Text: DOI arXiv OpenURL
Puche, Marc; Reis, Timo; Schwenninger, Felix L. Funnel control for boundary control systems. (English) Zbl 1471.93141 Evol. Equ. Control Theory 10, No. 3, 519-544 (2021). MSC: 93C20 93B52 93B28 47H06 PDF BibTeX XML Cite \textit{M. Puche} et al., Evol. Equ. Control Theory 10, No. 3, 519--544 (2021; Zbl 1471.93141) Full Text: DOI arXiv OpenURL
Li, Buyang; Ma, Shu; Wang, Na Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(\mathrm{H}^1\) initial data. (English) Zbl 07389367 J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76M10 76M20 35Q30 PDF BibTeX XML Cite \textit{B. Li} et al., J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021; Zbl 07389367) Full Text: DOI OpenURL
Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field. (English) Zbl 1471.76044 Numer. Algorithms 88, No. 1, 475-498 (2021). MSC: 76M10 76M20 76R10 76R50 76W05 65M15 65M12 PDF BibTeX XML Cite \textit{A. Cibik} et al., Numer. Algorithms 88, No. 1, 475--498 (2021; Zbl 1471.76044) Full Text: DOI OpenURL
Almog, Yaniv; Helffer, Bernard On the stability of laminar flows between plates. (English) Zbl 1473.35393 Arch. Ration. Mech. Anal. 241, No. 3, 1281-1401 (2021). MSC: 35Q30 76D05 76E05 58A14 PDF BibTeX XML Cite \textit{Y. Almog} and \textit{B. Helffer}, Arch. Ration. Mech. Anal. 241, No. 3, 1281--1401 (2021; Zbl 1473.35393) Full Text: DOI arXiv OpenURL
Caforio, F.; Imperiale, S. Mathematical analysis of a penalisation strategy for incompressible elastodynamics. (English) Zbl 1473.35546 Asymptotic Anal. 122, No. 3-4, 225-255 (2021). MSC: 35Q74 74J05 35B40 35B65 PDF BibTeX XML Cite \textit{F. Caforio} and \textit{S. Imperiale}, Asymptotic Anal. 122, No. 3--4, 225--255 (2021; Zbl 1473.35546) Full Text: DOI OpenURL
Bukač, Martina; Seboldt, Anyastassia; Trenchea, Catalin Refactorization of Cauchy’s method: a second-order partitioned method for fluid-thick structure interaction problems. (English) Zbl 1477.65155 J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021). MSC: 65M60 65M06 65N30 65M12 74F10 76Z05 92C35 PDF BibTeX XML Cite \textit{M. Bukač} et al., J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021; Zbl 1477.65155) Full Text: DOI arXiv OpenURL
DeCaria, Victor; Guzel, Ahmet; Layton, William; Li, Yi A variable stepsize, variable order family of low complexity. (English) Zbl 1477.65149 SIAM J. Sci. Comput. 43, No. 3, A2130-A2160 (2021). MSC: 65M20 65L06 65L04 PDF BibTeX XML Cite \textit{V. DeCaria} et al., SIAM J. Sci. Comput. 43, No. 3, A2130--A2160 (2021; Zbl 1477.65149) Full Text: DOI OpenURL
Zhang, Tong; Duan, Mengmeng Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1476.65262 Numer. Algorithms 87, No. 3, 1201-1228 (2021). MSC: 65M60 65M06 65N30 65D32 65M15 65M12 76A10 76D05 35Q35 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{M. Duan}, Numer. Algorithms 87, No. 3, 1201--1228 (2021; Zbl 1476.65262) Full Text: DOI OpenURL
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André Existence of dynamical low-rank approximations to parabolic problems. (English) Zbl 1482.65136 Math. Comput. 90, No. 330, 1799-1830 (2021). MSC: 65M06 65F55 65L05 35K15 35R01 15A18 15A69 35A01 35A02 35D30 PDF BibTeX XML Cite \textit{M. Bachmayr} et al., Math. Comput. 90, No. 330, 1799--1830 (2021; Zbl 1482.65136) Full Text: DOI arXiv OpenURL
Wang, Chunmei; Zikatanov, Ludmil Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. (English) Zbl 1467.65114 J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Zikatanov}, J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021; Zbl 1467.65114) Full Text: DOI arXiv OpenURL
Feppon, Florian High order homogenization of the Stokes system in a periodic porous medium. (English) Zbl 1465.35035 SIAM J. Math. Anal. 53, No. 3, 2890-2924 (2021). MSC: 35B27 35Q35 76M50 PDF BibTeX XML Cite \textit{F. Feppon}, SIAM J. Math. Anal. 53, No. 3, 2890--2924 (2021; Zbl 1465.35035) Full Text: DOI OpenURL
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. (English) Zbl 1466.35176 Adv. Comput. Math. 47, No. 2, Paper No. 20, 28 p. (2021). MSC: 35J61 35J30 65N12 65N30 PDF BibTeX XML Cite \textit{J. Droniou} et al., Adv. Comput. Math. 47, No. 2, Paper No. 20, 28 p. (2021; Zbl 1466.35176) Full Text: DOI arXiv OpenURL
DeCaria, Victor; Schneier, Michael An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations. (English) Zbl 07340428 Comput. Methods Appl. Mech. Eng. 376, Article ID 113661, 26 p. (2021). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{V. DeCaria} and \textit{M. Schneier}, Comput. Methods Appl. Mech. Eng. 376, Article ID 113661, 26 p. (2021; Zbl 07340428) Full Text: DOI arXiv OpenURL
Batugedara, Yasasya; Labovsky, Alexander E.; Schwiebert, Kyle J. Higher temporal accuracy for LES-C turbulence models. (English) Zbl 07340392 Comput. Methods Appl. Mech. Eng. 377, Article ID 113696, 19 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. Batugedara} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113696, 19 p. (2021; Zbl 07340392) Full Text: DOI OpenURL
Jones, Derrick; Zhang, Xu A class of nonconforming immersed finite element methods for Stokes interface problems. (English) Zbl 1468.65194 J. Comput. Appl. Math. 392, Article ID 113493, 18 p. (2021). MSC: 65N30 76D07 76M10 PDF BibTeX XML Cite \textit{D. Jones} and \textit{X. Zhang}, J. Comput. Appl. Math. 392, Article ID 113493, 18 p. (2021; Zbl 1468.65194) Full Text: DOI OpenURL
Aggul, Mustafa Defect-deferred correction method based on a subgrid artificial viscosity modeling. (English) Zbl 1464.76053 J. Math. Anal. Appl. 497, No. 2, Article ID 124878, 19 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 65M60 65M12 PDF BibTeX XML Cite \textit{M. Aggul}, J. Math. Anal. Appl. 497, No. 2, Article ID 124878, 19 p. (2021; Zbl 1464.76053) Full Text: DOI arXiv OpenURL
Zheng, Bo; Shang, Yueqiang Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping. (English) Zbl 1466.65210 Appl. Numer. Math. 163, 182-203 (2021). MSC: 65N30 65N12 65N15 76D05 35Q30 PDF BibTeX XML Cite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Numer. Math. 163, 182--203 (2021; Zbl 1466.65210) Full Text: DOI OpenURL
Aggul, Mustafa; Kaya, Songül Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. (English) Zbl 1457.76095 Appl. Numer. Math. 160, 178-191 (2021). MSC: 76M10 76T06 76D27 76D05 65M12 PDF BibTeX XML Cite \textit{M. Aggul} and \textit{S. Kaya}, Appl. Numer. Math. 160, 178--191 (2021; Zbl 1457.76095) Full Text: DOI arXiv OpenURL
Aramaki, Junichi Existence of a solution to a stationary quasi-variational inequality in a multi-connected domain. (English) Zbl 1456.35004 J. Convex Anal. 28, No. 1, 237-250 (2021). MSC: 35A15 35J20 35J87 35H30 35D30 35Q60 PDF BibTeX XML Cite \textit{J. Aramaki}, J. Convex Anal. 28, No. 1, 237--250 (2021; Zbl 1456.35004) Full Text: Link OpenURL
Shang, Yueqiang A new two-level defect-correction method for the steady Navier-Stokes equations. (English) Zbl 1486.65264 J. Comput. Appl. Math. 381, Article ID 113009, 17 p. (2021). MSC: 65N30 65N55 65N50 65H10 65N12 65N15 76D05 PDF BibTeX XML Cite \textit{Y. Shang}, J. Comput. Appl. Math. 381, Article ID 113009, 17 p. (2021; Zbl 1486.65264) Full Text: DOI OpenURL
Cocquet, Pierre-Henri; Rakotobe, Michaël; Ramalingom, Delphine; Bastide, Alain Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions. (English) Zbl 1469.65163 J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 65N15 76S05 76D05 35A01 35A02 35Q35 PDF BibTeX XML Cite \textit{P.-H. Cocquet} et al., J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021; Zbl 1469.65163) Full Text: DOI Link OpenURL
Abdelwahed, Mohamed; Alharbi, Ebtisam; Chorfi, Nejmeddine; Ouertani, Henda Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier-Stokes equations. (English) Zbl 07509802 Bound. Value Probl. 2020, Paper No. 167, 18 p. (2020). MSC: 35Qxx PDF BibTeX XML Cite \textit{M. Abdelwahed} et al., Bound. Value Probl. 2020, Paper No. 167, 18 p. (2020; Zbl 07509802) Full Text: DOI OpenURL
Abdelwahed, Mohamed; Chorfi, Nejmeddine Spectral discretization of time-dependent vorticity-velocity-pressure formulation of the Navier-Stokes equations. (English) Zbl 07509787 Bound. Value Probl. 2020, Paper No. 152, 14 p. (2020). MSC: 35Qxx PDF BibTeX XML Cite \textit{M. Abdelwahed} and \textit{N. Chorfi}, Bound. Value Probl. 2020, Paper No. 152, 14 p. (2020; Zbl 07509787) Full Text: DOI OpenURL
Abdelwahed, Mohamed; Chorfi, Nejmeddine; Ouertani, Henda The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions. (English) Zbl 07509729 Bound. Value Probl. 2020, Paper No. 94, 20 p. (2020). MSC: 65M70 65M06 65N35 65N30 76D07 35Q35 PDF BibTeX XML Cite \textit{M. Abdelwahed} et al., Bound. Value Probl. 2020, Paper No. 94, 20 p. (2020; Zbl 07509729) Full Text: DOI OpenURL
Zheng, Bo; Shang, Yueqiang Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows. (English) Zbl 1475.76064 Calcolo 57, No. 4, Paper No. 34, 32 p. (2020). Reviewer: Dimitra Antonopoulou (Chester) MSC: 76M10 76D05 65N12 65N30 65N55 65Y05 PDF BibTeX XML Cite \textit{B. Zheng} and \textit{Y. Shang}, Calcolo 57, No. 4, Paper No. 34, 32 p. (2020; Zbl 1475.76064) Full Text: DOI OpenURL
Jung, Jaeho; Yoon, Kyungho; Lee, Phill-Seung Deep learned finite elements. (English) Zbl 07337896 Comput. Methods Appl. Mech. Eng. 372, Article ID 113401, 26 p. (2020). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{J. Jung} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113401, 26 p. (2020; Zbl 07337896) Full Text: DOI OpenURL
Shu, Yu; Li, Jian; Zhang, Chong A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations. (English) Zbl 1472.65148 Appl. Math. Comput. 387, Article ID 124671, 13 p. (2020). MSC: 65N30 65N12 65N55 76M10 76D05 PDF BibTeX XML Cite \textit{Y. Shu} et al., Appl. Math. Comput. 387, Article ID 124671, 13 p. (2020; Zbl 1472.65148) Full Text: DOI OpenURL
Aramaki, Junichi Existence of a solution for a stationary Maxwell-Stokes type system. (English) Zbl 1458.35298 Commun. Math. Anal. 23, No. 1, 1-16 (2020). MSC: 35Q30 35A15 35A01 35D30 76W05 35Q60 78A30 PDF BibTeX XML Cite \textit{J. Aramaki}, Commun. Math. Anal. 23, No. 1, 1--16 (2020; Zbl 1458.35298) Full Text: Euclid OpenURL
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers. (English) Zbl 1456.49040 J. Elasticity 142, No. 2, 263-290 (2020). MSC: 49S05 49J10 74K25 74K20 74A60 74B20 74G10 46N20 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., J. Elasticity 142, No. 2, 263--290 (2020; Zbl 1456.49040) Full Text: DOI arXiv OpenURL
Labovsky, Alexander E. Approximate deconvolution with correction: a member of a new class of models for high Reynolds number flows. (English) Zbl 1475.65126 SIAM J. Numer. Anal. 58, No. 5, 3068-3090 (2020). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 65M12 76D05 76F65 35Q35 PDF BibTeX XML Cite \textit{A. E. Labovsky}, SIAM J. Numer. Anal. 58, No. 5, 3068--3090 (2020; Zbl 1475.65126) Full Text: DOI OpenURL
Oyarzúa, Ricardo; Serón, Miguel A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. (English) Zbl 1450.65149 J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 35Q79 35K05 76R05 76D07 80A19 PDF BibTeX XML Cite \textit{R. Oyarzúa} and \textit{M. Serón}, J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020; Zbl 1450.65149) Full Text: DOI OpenURL
Babaniyi, O.; Jadamba, B.; Khan, A. A.; Richards, M.; Sama, M.; Tammer, C. Three optimization formulations for an inverse problem in saddle point problems with applications to elasticity imaging of locating tumor in incompressible medium. (English) Zbl 1482.35271 J. Nonlinear Var. Anal. 4, No. 2, 301-318 (2020). MSC: 35R30 92C55 74G75 65N30 49N45 PDF BibTeX XML Cite \textit{O. Babaniyi} et al., J. Nonlinear Var. Anal. 4, No. 2, 301--318 (2020; Zbl 1482.35271) Full Text: DOI OpenURL
DeCaria, Victor; Layton, William; Zhao, Haiyun A time-accurate, adaptive discretization for fluid flow problems. (English) Zbl 07244844 Int. J. Numer. Anal. Model. 17, No. 2, 254-280 (2020). MSC: 65-XX PDF BibTeX XML Cite \textit{V. DeCaria} et al., Int. J. Numer. Anal. Model. 17, No. 2, 254--280 (2020; Zbl 07244844) Full Text: arXiv Link OpenURL
Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón On the linear thermoelasticity with two porosities: numerical aspects. (English) Zbl 07244838 Int. J. Numer. Anal. Model. 17, No. 2, 172-194 (2020). MSC: 65-XX PDF BibTeX XML Cite \textit{N. Bazarra} et al., Int. J. Numer. Anal. Model. 17, No. 2, 172--194 (2020; Zbl 07244838) Full Text: Link OpenURL
Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. (English) Zbl 07244676 Int. J. Numer. Anal. Model. 17, No. 1, 24-41 (2020). MSC: 65-XX PDF BibTeX XML Cite \textit{A. Çibik} et al., Int. J. Numer. Anal. Model. 17, No. 1, 24--41 (2020; Zbl 07244676) Full Text: arXiv Link OpenURL
He, Yinnian On the solutions of the 3D steady and unsteady primitive equations of the ocean. (English) Zbl 1448.35510 J. Math. Anal. Appl. 491, No. 1, Article ID 124243, 25 p. (2020). MSC: 35Q86 35Q35 86A05 76B15 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{Y. He}, J. Math. Anal. Appl. 491, No. 1, Article ID 124243, 25 p. (2020; Zbl 1448.35510) Full Text: DOI OpenURL
Aggul, Mustafa Defect correcting extrapolation technique for Oseen and Navier-Stokes flows. (English) Zbl 1447.65066 Comput. Math. Appl. 80, No. 5, 1029-1049 (2020). MSC: 65M60 65M06 76D07 76D05 76M10 76M20 PDF BibTeX XML Cite \textit{M. Aggul}, Comput. Math. Appl. 80, No. 5, 1029--1049 (2020; Zbl 1447.65066) Full Text: DOI OpenURL
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity. (English) Zbl 07236583 Inverse Probl. 36, No. 7, Article ID 074003, 25 p. (2020). MSC: 65N21 65N20 65N30 65K10 65N12 49K20 90C25 74B20 92C55 35Q92 PDF BibTeX XML Cite \textit{B. Jadamba} et al., Inverse Probl. 36, No. 7, Article ID 074003, 25 p. (2020; Zbl 07236583) Full Text: DOI OpenURL
Lambert, Wanderson; Alvarez, Amaury; Ledoino, Ismael; Tadeu, Duilio; Marchesin, Dan; Bruining, Johannes Mathematics and numerics for balance partial differential-algebraic equations (PDAEs). (English) Zbl 1440.76146 J. Sci. Comput. 84, No. 2, Paper No. 29, 56 p. (2020). MSC: 76S05 76M10 76M20 PDF BibTeX XML Cite \textit{W. Lambert} et al., J. Sci. Comput. 84, No. 2, Paper No. 29, 56 p. (2020; Zbl 1440.76146) Full Text: DOI OpenURL
Zheng, Bo; Shang, Yueqiang A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows. (English) Zbl 07212658 Appl. Math. Comput. 384, Article ID 125373, 20 p. (2020). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Math. Comput. 384, Article ID 125373, 20 p. (2020; Zbl 07212658) Full Text: DOI OpenURL
Burkardt, John; Trenchea, Catalin Refactorization of the midpoint rule. (English) Zbl 1453.65157 Appl. Math. Lett. 107, Article ID 106438, 6 p. (2020). MSC: 65L05 65L20 65L70 PDF BibTeX XML Cite \textit{J. Burkardt} and \textit{C. Trenchea}, Appl. Math. Lett. 107, Article ID 106438, 6 p. (2020; Zbl 1453.65157) Full Text: DOI OpenURL
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia Unsteady 3D-Navier-Stokes system with Tresca’s friction law. (English) Zbl 1435.76021 Q. Appl. Math. 78, No. 3, 525-543 (2020). MSC: 76D05 35K86 76D03 35A35 49J40 PDF BibTeX XML Cite \textit{M. Boukrouche} et al., Q. Appl. Math. 78, No. 3, 525--543 (2020; Zbl 1435.76021) Full Text: DOI arXiv OpenURL
Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül; Labovsky, Alexander E. A projection based variational multiscale method for a fluid-fluid interaction problem. (English) Zbl 1442.76058 Comput. Methods Appl. Mech. Eng. 365, Article ID 112957, 26 p. (2020). MSC: 76M10 65M60 65M12 76T06 PDF BibTeX XML Cite \textit{M. Aggul} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112957, 26 p. (2020; Zbl 1442.76058) Full Text: DOI arXiv OpenURL
Kumar, Sarvesh; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sandilya, Ruchi Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. (English) Zbl 07201584 ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273-299 (2020). MSC: 65N30 76S05 74F10 65N15 PDF BibTeX XML Cite \textit{S. Kumar} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273--299 (2020; Zbl 07201584) Full Text: DOI Link OpenURL
Beirão da Veiga, L.; Dassi, F.; Vacca, G. The Stokes complex for virtual elements in three dimensions. (English) Zbl 1436.65171 Math. Models Methods Appl. Sci. 30, No. 3, 477-512 (2020). MSC: 65N30 76D05 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 30, No. 3, 477--512 (2020; Zbl 1436.65171) Full Text: DOI arXiv OpenURL
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane Contingent derivatives of the set-valued solution map of a noncoercive saddle point problem. A cross-fertilization between variational analysis and inverse problems. (English) Zbl 1443.49042 J. Nonlinear Var. Anal. 4, No. 1, 127-134 (2020). MSC: 49N45 49J53 PDF BibTeX XML Cite \textit{B. Jadamba} et al., J. Nonlinear Var. Anal. 4, No. 1, 127--134 (2020; Zbl 1443.49042) Full Text: DOI OpenURL
Otárola, Enrique; Salgado, Abner J. A weighted setting for the stationary Navier Stokes equations under singular forcing. (English) Zbl 1428.35309 Appl. Math. Lett. 99, Article ID 105933, 7 p. (2020). MSC: 35Q30 35A01 35B45 76D05 PDF BibTeX XML Cite \textit{E. Otárola} and \textit{A. J. Salgado}, Appl. Math. Lett. 99, Article ID 105933, 7 p. (2020; Zbl 1428.35309) Full Text: DOI arXiv OpenURL
Tang, Qili; Huang, Yunqing Analysis of local and parallel algorithm for incompressible magnetohydrodynamics flows by finite element iterative method. (English) Zbl 1473.65317 Commun. Comput. Phys. 25, No. 3, 729-751 (2019). MSC: 65N30 65N22 76W05 PDF BibTeX XML Cite \textit{Q. Tang} and \textit{Y. Huang}, Commun. Comput. Phys. 25, No. 3, 729--751 (2019; Zbl 1473.65317) Full Text: DOI OpenURL
Gelmetti, Nicolò; Süli, Endre Spectral approximation of a strain-limiting nonlinear elastic model. (English) Zbl 1474.65456 Mat. Vesn. 71, No. 1-2, 63-89 (2019). MSC: 65N35 74B20 35Q74 65N12 35D30 35B65 65H10 PDF BibTeX XML Cite \textit{N. Gelmetti} and \textit{E. Süli}, Mat. Vesn. 71, No. 1--2, 63--89 (2019; Zbl 1474.65456) Full Text: EMIS Link Link OpenURL
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; d’Agostino, Marco-Valerio; Neff, Patrizio Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. (English) Zbl 07273362 Math. Mech. Solids 24, No. 10, 3200-3215 (2019). MSC: 74-XX PDF BibTeX XML Cite \textit{S. Owczarek} et al., Math. Mech. Solids 24, No. 10, 3200--3215 (2019; Zbl 07273362) Full Text: DOI arXiv OpenURL
Bajpai, Saumya; Pany, Ambit K. A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1443.65191 Comput. Math. Appl. 78, No. 12, 3872-3895 (2019). MSC: 65M60 76A10 PDF BibTeX XML Cite \textit{S. Bajpai} and \textit{A. K. Pany}, Comput. Math. Appl. 78, No. 12, 3872--3895 (2019; Zbl 1443.65191) Full Text: DOI arXiv OpenURL
Tang, Qili; Huang, Yunqing Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow. (English) Zbl 1442.65398 Comput. Math. Appl. 78, No. 1, 35-54 (2019). MSC: 65N30 65Y05 76W05 PDF BibTeX XML Cite \textit{Q. Tang} and \textit{Y. Huang}, Comput. Math. Appl. 78, No. 1, 35--54 (2019; Zbl 1442.65398) Full Text: DOI OpenURL
Zhang, Tie; Li, Zheng A finite volume method for Stokes problems on quadrilateral meshes. (English) Zbl 1442.65329 Comput. Math. Appl. 77, No. 4, 1091-1106 (2019). MSC: 65N08 65N15 35Q35 76D07 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Z. Li}, Comput. Math. Appl. 77, No. 4, 1091--1106 (2019; Zbl 1442.65329) Full Text: DOI OpenURL
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. (English) Zbl 1442.65354 Comput. Math. Appl. 77, No. 3, 693-714 (2019). MSC: 65N30 65N15 35Q35 76D99 80A19 PDF BibTeX XML Cite \textit{E. Colmenares} et al., Comput. Math. Appl. 77, No. 3, 693--714 (2019; Zbl 1442.65354) Full Text: DOI OpenURL
Pfister, Jean-Lou; Marquet, Olivier; Carini, Marco Linear stability analysis of strongly coupled fluid-structure problems with the arbitrary-Lagrangian-Eulerian method. (English) Zbl 1441.74067 Comput. Methods Appl. Mech. Eng. 355, 663-689 (2019). MSC: 74F10 76M12 65M08 74H55 76D05 PDF BibTeX XML Cite \textit{J.-L. Pfister} et al., Comput. Methods Appl. Mech. Eng. 355, 663--689 (2019; Zbl 1441.74067) Full Text: DOI OpenURL
Jiang, Nan; Qiu, Changxin An efficient ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations. (English) Zbl 1440.76072 Comput. Methods Appl. Mech. Eng. 343, 249-275 (2019). MSC: 76M10 65M60 35Q35 35R60 65M75 76M35 76S05 PDF BibTeX XML Cite \textit{N. Jiang} and \textit{C. Qiu}, Comput. Methods Appl. Mech. Eng. 343, 249--275 (2019; Zbl 1440.76072) Full Text: DOI OpenURL
Li, Xindong; Xu, Wenwen Numerical computation of Brinkman flow with stable mixed element method. (English) Zbl 1435.76074 Math. Probl. Eng. 2019, Article ID 7625201, 10 p. (2019). MSC: 76S05 76M10 65N30 PDF BibTeX XML Cite \textit{X. Li} and \textit{W. Xu}, Math. Probl. Eng. 2019, Article ID 7625201, 10 p. (2019; Zbl 1435.76074) Full Text: DOI OpenURL
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon A hybrid high-order method for highly oscillatory elliptic problems. (English) Zbl 1434.65246 Comput. Methods Appl. Math. 19, No. 4, 723-748 (2019). MSC: 65N30 65N08 76R50 65N85 PDF BibTeX XML Cite \textit{M. Cicuttin} et al., Comput. Methods Appl. Math. 19, No. 4, 723--748 (2019; Zbl 1434.65246) Full Text: DOI arXiv OpenURL
Aggul, Mustafa; Kaya, Songul; Labovsky, Alexander E. Two approaches to creating a turbulence model with increased temporal accuracy. (English) Zbl 1428.76045 Appl. Math. Comput. 358, 25-36 (2019). MSC: 76D05 76F02 76F65 PDF BibTeX XML Cite \textit{M. Aggul} et al., Appl. Math. Comput. 358, 25--36 (2019; Zbl 1428.76045) Full Text: DOI OpenURL
Neittaanmäki, P.; Nokka, M.; Repin, S. Estimates of the distance to exact solutions of the Stokes problem with slip and leak boundary conditions. (English. Russian original) Zbl 1434.35061 J. Math. Sci., New York 242, No. 2, 280-298 (2019); translation from Probl. Mat. Anal. 99, 89-104 (2019). MSC: 35Q30 35B45 76D07 76D10 PDF BibTeX XML Cite \textit{P. Neittaanmäki} et al., J. Math. Sci., New York 242, No. 2, 280--298 (2019; Zbl 1434.35061); translation from Probl. Mat. Anal. 99, 89--104 (2019) Full Text: DOI Link OpenURL
Fritz, Marvin; Lima, Ernesto A. B. F.; Tinsley Oden, J.; Wohlmuth, Barbara On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models. (English) Zbl 1425.35076 Math. Models Methods Appl. Sci. 29, No. 9, 1691-1731 (2019). MSC: 35K35 35Q35 76D07 92C17 76Z05 35A01 35D30 35Q92 65C60 65M60 76M10 PDF BibTeX XML Cite \textit{M. Fritz} et al., Math. Models Methods Appl. Sci. 29, No. 9, 1691--1731 (2019; Zbl 1425.35076) Full Text: DOI arXiv OpenURL
Zhang, Tie; Chen, Yanli An analysis of the weak Galerkin finite element method for convection-diffusion equations. (English) Zbl 1429.65281 Appl. Math. Comput. 346, 612-621 (2019). MSC: 65N30 35J25 65N12 65N15 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Chen}, Appl. Math. Comput. 346, 612--621 (2019; Zbl 1429.65281) Full Text: DOI arXiv OpenURL
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. (English) Zbl 1458.65125 J. Numer. Math. 27, No. 3, 123-139 (2019). MSC: 65M60 76D99 PDF BibTeX XML Cite \textit{F. G. Eroglu} et al., J. Numer. Math. 27, No. 3, 123--139 (2019; Zbl 1458.65125) Full Text: DOI OpenURL
Della Porta, Francesco Analysis of a moving mask hypothesis for martensitic transformations. (English) Zbl 1425.74049 J. Nonlinear Sci. 29, No. 5, 2341-2384 (2019). MSC: 74A50 74N05 74N10 74N15 74N20 PDF BibTeX XML Cite \textit{F. Della Porta}, J. Nonlinear Sci. 29, No. 5, 2341--2384 (2019; Zbl 1425.74049) Full Text: DOI arXiv OpenURL
Yuan, Yongxin; Zuo, Kezheng; Liu, Hao; Zhao, Wenhua Some simple criteria for the solvability of block \(2 \times 2\) linear systems. (English) Zbl 1423.15004 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2287-2294 (2019). Reviewer: John D. Dixon (Ottawa) MSC: 15A06 15A09 15A24 PDF BibTeX XML Cite \textit{Y. Yuan} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2287--2294 (2019; Zbl 1423.15004) Full Text: DOI OpenURL
Gunzburger, Max; Jiang, Nan; Wang, Zhu A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. (English) Zbl 1421.76157 Comput. Methods Appl. Math. 19, No. 3, 681-701 (2019). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{M. Gunzburger} et al., Comput. Methods Appl. Math. 19, No. 3, 681--701 (2019; Zbl 1421.76157) Full Text: DOI arXiv OpenURL
Morales, Fernando A. A conforming primal-dual mixed formulation for the 2D multiscale porous media flow problem. (English) Zbl 1438.65290 Comput. Appl. Math. 38, No. 2, Paper No. 49, 31 p. (2019). MSC: 65N30 35J50 65N12 76S05 76M10 PDF BibTeX XML Cite \textit{F. A. Morales}, Comput. Appl. Math. 38, No. 2, Paper No. 49, 31 p. (2019; Zbl 1438.65290) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Jiang, Nan A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations. (English) Zbl 1466.65137 J. Sci. Comput. 80, No. 1, 315-350 (2019). MSC: 65M60 65M12 76D05 PDF BibTeX XML Cite \textit{N. Jiang}, J. Sci. Comput. 80, No. 1, 315--350 (2019; Zbl 1466.65137) Full Text: DOI OpenURL
Hu, Xiaozhe; Mu, Lin; Ye, Xiu A weak Galerkin finite element method for the Navier-Stokes equations. (English) Zbl 1422.65389 J. Comput. Appl. Math. 362, 614-625 (2019). MSC: 65N30 76D05 76M10 PDF BibTeX XML Cite \textit{X. Hu} et al., J. Comput. Appl. Math. 362, 614--625 (2019; Zbl 1422.65389) Full Text: DOI OpenURL
Zhang, Tie; Lin, Tao An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems. (English) Zbl 1418.65187 J. Comput. Appl. Math. 362, 484-497 (2019). MSC: 65N30 65N15 65M60 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{T. Lin}, J. Comput. Appl. Math. 362, 484--497 (2019; Zbl 1418.65187) Full Text: DOI OpenURL
Liu, Demin; Li, Kaitai Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 1416.65457 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 889-910 (2019). MSC: 65N30 65N12 35Q35 PDF BibTeX XML Cite \textit{D. Liu} and \textit{K. Li}, AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 889--910 (2019; Zbl 1416.65457) Full Text: DOI OpenURL