Filo, Ján; Pluschke, Volker Divergence free functions in a problem of the flow between a fixed inner pipe and an outer pipe with a moving boundary. (English) Zbl 07818503 J. Dyn. Differ. Equations 36, No. 1, Suppl., S541-S552 (2024). MSC: 35Q35 74F10 76D99 35R37 PDFBibTeX XMLCite \textit{J. Filo} and \textit{V. Pluschke}, J. Dyn. Differ. Equations 36, No. 1, S541--S552 (2024; Zbl 07818503) Full Text: DOI
Li, Hongpeng; Li, Xu; Rui, Hongxing Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions. (English) Zbl 07811922 Adv. Comput. Math. 50, No. 1, Paper No. 13, 35 p. (2024). MSC: 65N30 65N12 65N15 65N22 74B10 74S05 76D07 35Q74 PDFBibTeX XMLCite \textit{H. Li} et al., Adv. Comput. Math. 50, No. 1, Paper No. 13, 35 p. (2024; Zbl 07811922) Full Text: DOI arXiv
Gómez-Molina, Pedro; Sanz-Lorenzo, Luis; Carpio, Jaime A stable conservative Lagrange-Galerkin scheme to pure convection equations with mesh intersection. (English) Zbl 07811313 J. Comput. Phys. 497, Article ID 112625, 21 p. (2024). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{P. Gómez-Molina} et al., J. Comput. Phys. 497, Article ID 112625, 21 p. (2024; Zbl 07811313) Full Text: DOI
Fehrman, Benjamin Stochastic homogenization with space-time ergodic divergence-free drift. (English) Zbl 07810671 Ann. Probab. 52, No. 1, 350-380 (2024). MSC: 35B27 35B53 35B65 35K15 60F17 60H25 76M50 PDFBibTeX XMLCite \textit{B. Fehrman}, Ann. Probab. 52, No. 1, 350--380 (2024; Zbl 07810671) Full Text: DOI arXiv Link
Zhang, Min; Zhang, Tong; Xie, Xiaoping Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow. (English) Zbl 07810015 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107810, 24 p. (2024). MSC: 76M10 65N30 65N15 76W05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107810, 24 p. (2024; Zbl 07810015) Full Text: DOI arXiv
Bevilacqua, Tommaso; Dassi, Franco; Zampini, Stefano; Scacchi, Simone BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations. (English) Zbl 07801542 SIAM J. Sci. Comput. 46, No. 1, A156-A178 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F08 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{T. Bevilacqua} et al., SIAM J. Sci. Comput. 46, No. 1, A156--A178 (2024; Zbl 07801542) Full Text: DOI arXiv
Carvalho, Pablo G. S.; Devloo, Philippe R. B.; Gomes, Sônia M. A semi-hybrid-mixed method for Stokes-Brinkman-Darcy flows with H(div)-velocity fields. (English) Zbl 07801040 Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7363, 36 p. (2024). MSC: 65N30 76S05 76D07 49M41 76M10 PDFBibTeX XMLCite \textit{P. G. S. Carvalho} et al., Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7363, 36 p. (2024; Zbl 07801040) Full Text: DOI
Ding, Shengrong; Wu, Kailiang A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. (English) Zbl 07790226 SIAM J. Sci. Comput. 46, No. 1, A50-A79 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76W05 76N10 76X05 85A30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{K. Wu}, SIAM J. Sci. Comput. 46, No. 1, A50--A79 (2024; Zbl 07790226) Full Text: DOI arXiv
Zhang, Xiaodi; Li, Meng Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation. (English) Zbl 07784316 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107677, 22 p. (2024). MSC: 65M60 65M06 65M15 65N30 76W05 76M10 76M20 35B65 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{M. Li}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107677, 22 p. (2024; Zbl 07784316) Full Text: DOI
Li, Xianzhu; Su, Haiyan; Zhang, Xiaodi A decoupled, unconditionally energy-stable and conservative finite element algorithm for a constrained transport model of the incompressible MHD equations. (English) Zbl 07782654 Appl. Math. Lett. 149, Article ID 108905, 6 p. (2024). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Lett. 149, Article ID 108905, 6 p. (2024; Zbl 07782654) Full Text: DOI
Korotov, Sergey; Křížek, Michal Divergence-free finite element spaces for stress tensors. (English) Zbl 07756751 J. Comput. Appl. Math. 438, Article ID 115537, 7 p. (2024). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{S. Korotov} and \textit{M. Křížek}, J. Comput. Appl. Math. 438, Article ID 115537, 7 p. (2024; Zbl 07756751) Full Text: DOI
Lv, Deyong; Rui, Hongxing A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem. (English) Zbl 1522.65220 J. Comput. Appl. Math. 436, Article ID 115444, 19 p. (2024). MSC: 65N30 65N12 65N15 76D07 76S05 76M10 PDFBibTeX XMLCite \textit{D. Lv} and \textit{H. Rui}, J. Comput. Appl. Math. 436, Article ID 115444, 19 p. (2024; Zbl 1522.65220) Full Text: DOI
Kogler, Lukas; Lederer, Philip L.; Schöberl, Joachim A conforming auxiliary space preconditioner for the mass conserving stress-yielding method. (English) Zbl 07790626 Numer. Linear Algebra Appl. 30, No. 5, e2503, 31 p. (2023). MSC: 65F08 65N30 PDFBibTeX XMLCite \textit{L. Kogler} et al., Numer. Linear Algebra Appl. 30, No. 5, e2503, 31 p. (2023; Zbl 07790626) Full Text: DOI arXiv
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. (English) Zbl 07788135 J. Comput. Phys. 486, Article ID 112130, 25 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 486, Article ID 112130, 25 p. (2023; Zbl 07788135) Full Text: DOI arXiv
Zhang, Xiaodi; Su, Haiyan; Li, Xianzhu A fully discrete finite element method for a constrained transport model of the incompressible MHD equations. (English) Zbl 07787600 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2907-2930 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76D05 35B65 76M10 76M20 35Q35 35Q61 PDFBibTeX XMLCite \textit{X. Zhang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2907--2930 (2023; Zbl 07787600) Full Text: DOI
Birke, Claudius; Boscheri, Walter; Klingenberg, Christian A high order semi-implicit scheme for ideal magnetohydrodynamics. (English) Zbl 07781688 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 21-37 (2023). MSC: 65M08 65M06 65L06 65N08 76W05 76X05 35Q35 PDFBibTeX XMLCite \textit{C. Birke} et al., Springer Proc. Math. Stat. 432, 21--37 (2023; Zbl 07781688) Full Text: DOI
Zhang, Bei; Zhao, Jikun; Li, Meng The divergence-free nonconforming virtual element method for the Navier-Stokes problem. (English) Zbl 07776994 Numer. Methods Partial Differ. Equations 39, No. 3, 1977-1995 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1977--1995 (2023; Zbl 07776994) Full Text: DOI
Serre, Denis Divergence-free tensors and cofactors in geometry and fluid dynamics. (English) Zbl 07773775 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 461-477 (2023). Reviewer: Jacques Faraut (Paris) MSC: 15A69 15B57 15B48 15A15 52A39 53A07 53A10 53A45 76N15 PDFBibTeX XMLCite \textit{D. Serre}, Lect. Notes Math. 2313, 461--477 (2023; Zbl 07773775) Full Text: DOI
Zhang, Xiaodi; Dong, Shitian New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation. (English) Zbl 1528.65119 BIT 63, No. 4, Paper No. 55, 34 p. (2023). MSC: 65N30 65N12 65N15 76M10 76W05 58A12 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{S. Dong}, BIT 63, No. 4, Paper No. 55, 34 p. (2023; Zbl 1528.65119) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces. (English) Zbl 1528.76062 Appl. Numer. Math. 192, 373-388 (2023). MSC: 76M99 65N15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 192, 373--388 (2023; Zbl 1528.76062) Full Text: DOI
Liu, Yujun Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation. (English) Zbl 07756918 Can. J. Math. 75, No. 5, 1516-1539 (2023). Reviewer: Changxing Miao (Beijing) MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{Y. Liu}, Can. J. Math. 75, No. 5, 1516--1539 (2023; Zbl 07756918) Full Text: DOI
Behn, Linus; Gmeineder, Franz; Schiffer, Stefan On Symmetric div-quasiconvex hulls and divsym-free \(\mathrm{L}^\infty\)-truncations. (English) Zbl 07752598 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 6, 1267-1317 (2023). MSC: 26B25 49J45 PDFBibTeX XMLCite \textit{L. Behn} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 6, 1267--1317 (2023; Zbl 07752598) Full Text: DOI arXiv
Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. (English) Zbl 07748072 J. Comput. Phys. 493, Article ID 112493, 48 p. (2023). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{F. Fambri} et al., J. Comput. Phys. 493, Article ID 112493, 48 p. (2023; Zbl 07748072) Full Text: DOI arXiv
Gao, Huadong; Xie, Wen A finite element method for the dynamical Ginzburg-Landau equations under Coulomb gauge. (English) Zbl 07742018 J. Sci. Comput. 97, No. 1, Paper No. 19, 23 p. (2023). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{H. Gao} and \textit{W. Xie}, J. Sci. Comput. 97, No. 1, Paper No. 19, 23 p. (2023; Zbl 07742018) Full Text: DOI
Zhang, Shangyou A macro-bubble enriched \(P_1\)-\(P_0\) finite element for the Stokes equations on triangular and tetrahedral meshes. (English) Zbl 1522.65229 Calcolo 60, No. 3, Paper No. 44, 20 p. (2023). MSC: 65N30 65N15 76D07 76T10 35Q35 PDFBibTeX XMLCite \textit{S. Zhang}, Calcolo 60, No. 3, Paper No. 44, 20 p. (2023; Zbl 1522.65229) Full Text: DOI
Chen, Wei; Hu, Jun; Zhang, Min Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions. (English) Zbl 1522.65203 J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023). MSC: 65N30 65N15 65N12 35B45 76D07 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023; Zbl 1522.65203) Full Text: DOI arXiv
Bianchini, Stefano; Zizza, Martina Properties of mixing BV vector fields. (English) Zbl 07727606 Commun. Math. Phys. 402, No. 2, 1953-2009 (2023). MSC: 35Q35 76A02 35K05 35B20 58D05 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{M. Zizza}, Commun. Math. Phys. 402, No. 2, 1953--2009 (2023; Zbl 07727606) Full Text: DOI arXiv
Li, Xu; Rui, Hongxing A modified convective formulation in Navier-Stokes simulations. (English) Zbl 07722589 J. Sci. Comput. 96, No. 3, Paper No. 69, 25 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76D17 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, J. Sci. Comput. 96, No. 3, Paper No. 69, 25 p. (2023; Zbl 07722589) Full Text: DOI
Neilan, Michael; Otus, M. Baris A stable and \(H^1\)-conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings. (English) Zbl 1522.65222 Calcolo 60, No. 3, Paper No. 37, 22 p. (2023). MSC: 65N30 65N12 76D07 35Q35 PDFBibTeX XMLCite \textit{M. Neilan} and \textit{M. B. Otus}, Calcolo 60, No. 3, Paper No. 37, 22 p. (2023; Zbl 1522.65222) Full Text: DOI
Huang, Xuehai; Wang, Feng Analysis of divergence free conforming virtual elements for the Brinkman problem. (English) Zbl 1517.65112 Math. Models Methods Appl. Sci. 33, No. 6, 1245-1280 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{X. Huang} and \textit{F. Wang}, Math. Models Methods Appl. Sci. 33, No. 6, 1245--1280 (2023; Zbl 1517.65112) Full Text: DOI
Chaumont-Frelet, Théophile; Vohralík, Martin \(p\)-robust equilibrated flux reconstruction in \(\boldsymbol{H}(\mathrm{curl})\) based on local minimizations: application to a posteriori analysis of the curl-curl problem. (English) Zbl 07713544 SIAM J. Numer. Anal. 61, No. 4, 1783-1818 (2023). MSC: 65N30 65K10 65N15 65N12 78A25 78M10 35Q60 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{M. Vohralík}, SIAM J. Numer. Anal. 61, No. 4, 1783--1818 (2023; Zbl 07713544) Full Text: DOI arXiv
Liu, Haoran; Neilan, Michael; Baris Otus, M. A divergence-free finite element method for the Stokes problem with boundary correction. (English) Zbl 07711457 J. Numer. Math. 31, No. 2, 105-123 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{H. Liu} et al., J. Numer. Math. 31, No. 2, 105--123 (2023; Zbl 07711457) Full Text: DOI arXiv
Fu, Guosheng Monolithic and partitioned finite element schemes for FSI based on an ALE divergence-free HDG fluid solver and a TDNNS structural solver. (English) Zbl 1524.65530 Int. J. Numer. Anal. Model. 20, No. 2, 267-312 (2023). MSC: 65M60 65N30 65N12 76S05 76D07 74N20 65M06 74F10 PDFBibTeX XMLCite \textit{G. Fu}, Int. J. Numer. Anal. Model. 20, No. 2, 267--312 (2023; Zbl 1524.65530) Full Text: DOI
Khayyer, Abbas; Shimizu, Yuma; Gotoh, Takafumi; Gotoh, Hitoshi Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free-surface fluid flows. (English) Zbl 1515.76118 Appl. Math. Modelling 116, 84-121 (2023). MSC: 76M28 65M75 76N15 PDFBibTeX XMLCite \textit{A. Khayyer} et al., Appl. Math. Modelling 116, 84--121 (2023; Zbl 1515.76118) Full Text: DOI
Leng, Haitao Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures. (English) Zbl 07698894 J. Sci. Comput. 94, No. 3, Paper No. 66, 31 p. (2023). MSC: 65-XX 35-XX 65K10 65M50 PDFBibTeX XMLCite \textit{H. Leng}, J. Sci. Comput. 94, No. 3, Paper No. 66, 31 p. (2023; Zbl 07698894) Full Text: DOI
Leng, Haitao A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations. (English) Zbl 1517.35156 J. Sci. Comput. 94, No. 3, Paper No. 52, 24 p. (2023). MSC: 35Q30 76D05 49M25 35B45 65N30 65N50 65K10 65N15 47J26 PDFBibTeX XMLCite \textit{H. Leng}, J. Sci. Comput. 94, No. 3, Paper No. 52, 24 p. (2023; Zbl 1517.35156) Full Text: DOI
Cai, Yunzhu; Wan, Jiawei; Kareem, Ahsan A new divergence-free synthetic eddy method for generating homogeneous isotropic turbulence with a prescribed energy spectrum. (English) Zbl 1521.76145 Comput. Fluids 253, Article ID 105788, 14 p. (2023). MSC: 76F05 76F65 PDFBibTeX XMLCite \textit{Y. Cai} et al., Comput. Fluids 253, Article ID 105788, 14 p. (2023; Zbl 1521.76145) Full Text: DOI
Chen, Wei; Wu, Kailiang; Xiong, Tao High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. (English) Zbl 07696996 J. Comput. Phys. 488, Article ID 112240, 25 p. (2023). MSC: 65Mxx 76Mxx 76Wxx PDFBibTeX XMLCite \textit{W. Chen} et al., J. Comput. Phys. 488, Article ID 112240, 25 p. (2023; Zbl 07696996) Full Text: DOI arXiv
Bae, Hyeong-Ohk; Wolf, Jörg Compactness lemma for sequences of divergence free Bochner measurable functions. (English) Zbl 1517.35173 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113288, 10 p. (2023). MSC: 35Q35 76A05 35D30 35A01 46B50 PDFBibTeX XMLCite \textit{H.-O. Bae} and \textit{J. Wolf}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113288, 10 p. (2023; Zbl 1517.35173) Full Text: DOI
Leng, Haitao Analysis of an HDG method for the Navier-Stokes equations with Dirac measures. (English) Zbl 1516.65135 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 271-297 (2023). MSC: 65N30 65N50 65N15 76D05 76M10 35R06 PDFBibTeX XMLCite \textit{H. Leng}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 271--297 (2023; Zbl 1516.65135) Full Text: DOI
Liu, Haoran; Neilan, Michael; Olshanskii, Maxim A CutFEM divergence-free discretization for the Stokes problem. (English) Zbl 1514.65174 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 143-165 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{H. Liu} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 143--165 (2023; Zbl 1514.65174) Full Text: DOI arXiv
Boussoufa, O.; Daikh, Y.; Yakoubi, D. Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure. I. (English) Zbl 1514.65140 Calcolo 60, No. 2, Paper No. 25, 27 p. (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B45 35A01 35A02 76D07 76M22 76M20 PDFBibTeX XMLCite \textit{O. Boussoufa} et al., Calcolo 60, No. 2, Paper No. 25, 27 p. (2023; Zbl 1514.65140) Full Text: DOI
Zou, Shijun; Yu, Xijun; Dai, Zihuan; Qing, Fang; Zhao, Xiaolong A partial RKDG method for solving the 2D ideal MHD equations written in semi-Lagrangian formulation on moving meshes with exactly divergence-free magnetic field. (English) Zbl 1524.76238 Adv. Appl. Math. Mech. 15, No. 4, 932-963 (2023). MSC: 76M10 76N15 76W05 PDFBibTeX XMLCite \textit{S. Zou} et al., Adv. Appl. Math. Mech. 15, No. 4, 932--963 (2023; Zbl 1524.76238) Full Text: DOI
Liu, Qing; Li, Tiexiang; Zhang, Shuo A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media. (English) Zbl 07682036 Inverse Probl. 39, No. 5, Article ID 055005, 17 p. (2023). MSC: 65-XX 35Rxx PDFBibTeX XMLCite \textit{Q. Liu} et al., Inverse Probl. 39, No. 5, Article ID 055005, 17 p. (2023; Zbl 07682036) Full Text: DOI arXiv
Barrenechea, Gabriel R.; Süli, Endre Analysis of a stabilised finite element method for power-law fluids. (English) Zbl 1512.65257 Constr. Approx. 57, No. 2, 295-325 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 76A05 76E30 76M10 35D30 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{E. Süli}, Constr. Approx. 57, No. 2, 295--325 (2023; Zbl 1512.65257) Full Text: DOI arXiv
Dong, Shitian; Zhang, Xiaodi; Su, Haiyan Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system. (English) Zbl 1512.78006 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107182, 22 p. (2023). MSC: 78A30 76W05 80A19 78M10 76M10 65N30 65N12 65N15 65H10 35Q35 35Q60 PDFBibTeX XMLCite \textit{S. Dong} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107182, 22 p. (2023; Zbl 1512.78006) Full Text: DOI
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. (English) Zbl 1516.65102 SIAM J. Numer. Anal. 61, No. 1, 250-285 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M60 65M06 65N30 65M12 76W05 76N10 35L65 PDFBibTeX XMLCite \textit{K. Wu} et al., SIAM J. Numer. Anal. 61, No. 1, 250--285 (2023; Zbl 1516.65102) Full Text: DOI arXiv
Domitrz, Wojciech; Zubilewicz, Marcin Local invariants of divergence-free webs. (English) Zbl 1509.53014 Anal. Math. Phys. 13, No. 1, Paper No. 4, 41 p. (2023). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 53A60 53A55 53Z05 57R05 58K50 PDFBibTeX XMLCite \textit{W. Domitrz} and \textit{M. Zubilewicz}, Anal. Math. Phys. 13, No. 1, Paper No. 4, 41 p. (2023; Zbl 1509.53014) Full Text: DOI arXiv
Bessa, Mário Flowbox theorems for a class of Sobolev vector fields. (English) Zbl 1511.37031 Dyn. Partial Differ. Equ. 20, No. 1, 23-35 (2023). MSC: 37C10 37C15 34A12 57R25 PDFBibTeX XMLCite \textit{M. Bessa}, Dyn. Partial Differ. Equ. 20, No. 1, 23--35 (2023; Zbl 1511.37031) Full Text: DOI
Han, Yongbin; Hou, Yanren; Zhang, Min Analysis of divergence-free \(H^1\) conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number. (English) Zbl 1505.65263 Math. Comput. 92, No. 340, 557-582 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M15 76D05 35Q30 PDFBibTeX XMLCite \textit{Y. Han} et al., Math. Comput. 92, No. 340, 557--582 (2023; Zbl 1505.65263) Full Text: DOI
Cho, Gunhee; Nguyen Thac Dung Vanishing results from Lichnerowicz Laplacian on complete Kähler manifolds and applications. (English) Zbl 1502.53105 J. Math. Anal. Appl. 517, No. 1, Article ID 126602, 15 p. (2023). MSC: 53C55 53C24 58J60 PDFBibTeX XMLCite \textit{G. Cho} and \textit{Nguyen Thac Dung}, J. Math. Anal. Appl. 517, No. 1, Article ID 126602, 15 p. (2023; Zbl 1502.53105) Full Text: DOI arXiv
Marzougui, Habib Limit sets and global dynamic for 2-D divergence-free vector fields. (English) Zbl 1526.37031 Adv. Pure Appl. Math. 13, No. 3, 1-8 (2022). MSC: 37C75 37C10 37C25 37C27 37E35 PDFBibTeX XMLCite \textit{H. Marzougui}, Adv. Pure Appl. Math. 13, No. 3, 1--8 (2022; Zbl 1526.37031) Full Text: DOI
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin A family of finite element Stokes complexes in three dimensions. (English) Zbl 1522.65212 SIAM J. Numer. Anal. 60, No. 1, 222-243 (2022). MSC: 65N30 65N15 35B45 76D07 76W05 58A12 35Q35 35Q60 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Numer. Anal. 60, No. 1, 222--243 (2022; Zbl 1522.65212) Full Text: DOI arXiv
Devloo, Philippe R. B.; Fernandes, Jeferson W. D.; Gomes, Sônia M.; Orlandini, Francisco T.; Shauer, Nathan An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences. (English) Zbl 1507.65238 Comput. Methods Appl. Mech. Eng. 402, Article ID 115476, 28 p. (2022). MSC: 65N30 65M60 PDFBibTeX XMLCite \textit{P. R. B. Devloo} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115476, 28 p. (2022; Zbl 1507.65238) Full Text: DOI
da Veiga, Lourenco Beirão; Vacca, Giuseppe Divergence free VEM for the Stokes problem with no internal degrees of freedom. (English) Zbl 1504.76060 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 51-59 (2022). MSC: 76M99 76M10 76D07 PDFBibTeX XMLCite \textit{L. B. da Veiga} and \textit{G. Vacca}, in: Current trends and open problems in computational mechanics. Cham: Springer. 51--59 (2022; Zbl 1504.76060) Full Text: DOI
Li, Xu; Rui, Hongxing A low-order divergence-free \(H(\mathrm{div})\)-conforming finite element method for Stokes flows. (English) Zbl 1502.65210 IMA J. Numer. Anal. 42, No. 4, 3711-3734 (2022). MSC: 65N30 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, IMA J. Numer. Anal. 42, No. 4, 3711--3734 (2022; Zbl 1502.65210) Full Text: DOI arXiv
Han, Yihui Pressure robust hybrid mixed finite element method for Darcy-Forchheimer model. (English) Zbl 1513.65463 Int. J. Comput. Math. 99, No. 11, 2349-2365 (2022). MSC: 65N30 65N15 76S05 35Q35 PDFBibTeX XMLCite \textit{Y. Han}, Int. J. Comput. Math. 99, No. 11, 2349--2365 (2022; Zbl 1513.65463) Full Text: DOI
Bonicatto, Paolo; Gusev, Nikolay A. On the structure of divergence-free measures on \(\mathbb{R}^2\). (English) Zbl 1520.28002 Adv. Calc. Var. 15, No. 4, 879-911 (2022). Reviewer: Georgios Psaradakis (Kastoria) MSC: 28A75 49Q15 58A25 PDFBibTeX XMLCite \textit{P. Bonicatto} and \textit{N. A. Gusev}, Adv. Calc. Var. 15, No. 4, 879--911 (2022; Zbl 1520.28002) Full Text: DOI arXiv
Simon, John Sebastian; Notsu, Hirofumi A shape optimization problem constrained with the Stokes equations to address maximization of vortices. (English) Zbl 1498.49080 Evol. Equ. Control Theory 11, No. 6, 1873-1902 (2022). MSC: 49Q10 49J20 49K20 35Q93 PDFBibTeX XMLCite \textit{J. S. Simon} and \textit{H. Notsu}, Evol. Equ. Control Theory 11, No. 6, 1873--1902 (2022; Zbl 1498.49080) Full Text: DOI arXiv
Kanbar, Farah; Touma, Rony; Klingenberg, Christian Well-balanced central scheme for the system of MHD equations with gravitational source term. (English) Zbl 1496.65138 Commun. Comput. Phys. 32, No. 3, 878-898 (2022). MSC: 65M08 76M12 65M22 PDFBibTeX XMLCite \textit{F. Kanbar} et al., Commun. Comput. Phys. 32, No. 3, 878--898 (2022; Zbl 1496.65138) Full Text: DOI arXiv
Nistor, Simona; Oniciuc, Cezar On the uniqueness of complete biconservative surfaces in 3-dimensional space forms. (English) Zbl 1503.53124 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1565-1587 (2022). MSC: 53C42 53A10 53C40 PDFBibTeX XMLCite \textit{S. Nistor} and \textit{C. Oniciuc}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1565--1587 (2022; Zbl 1503.53124) Full Text: DOI arXiv
Zou, Shijun; Zhao, Xiaolong; Yu, Xijun; Dai, Zihuan A RKDG method for 2D Lagrangian ideal magnetohydrodynamics equations with exactly divergence-free magnetic field. (English) Zbl 1497.76056 Commun. Comput. Phys. 32, No. 2, 547-582 (2022). MSC: 76M10 76M20 76W05 76N15 PDFBibTeX XMLCite \textit{S. Zou} et al., Commun. Comput. Phys. 32, No. 2, 547--582 (2022; Zbl 1497.76056) Full Text: DOI
Schroeder, Craig; Chowdhury, Ritoban Roy; Shinar, Tamar Local divergence-free polynomial interpolation on MAC grids. (English) Zbl 07578907 J. Comput. Phys. 468, Article ID 111500, 15 p. (2022). MSC: 76Mxx 41Axx 76Dxx PDFBibTeX XMLCite \textit{C. Schroeder} et al., J. Comput. Phys. 468, Article ID 111500, 15 p. (2022; Zbl 07578907) Full Text: DOI
Yang, Fei; Zhang, Liangdi On the classification of four-dimensional gradient Ricci solitons. (English) Zbl 1500.53054 Differ. Geom. Appl. 84, Article ID 101936, 23 p. (2022). MSC: 53C21 53C25 PDFBibTeX XMLCite \textit{F. Yang} and \textit{L. Zhang}, Differ. Geom. Appl. 84, Article ID 101936, 23 p. (2022; Zbl 1500.53054) Full Text: DOI arXiv
Botti, Lorenzo; Di Pietro, Daniele A. \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. (English) Zbl 1513.65053 Commun. Appl. Math. Comput. 4, No. 3, 783-822 (2022). MSC: 65F08 35Q30 76D07 65N55 PDFBibTeX XMLCite \textit{L. Botti} and \textit{D. A. Di Pietro}, Commun. Appl. Math. Comput. 4, No. 3, 783--822 (2022; Zbl 1513.65053) Full Text: DOI arXiv
Kwak, Do Y.; Park, Hyeokjoo A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem. (English) Zbl 1502.65208 Numer. Algorithms 91, No. 1, 449-471 (2022). MSC: 65N30 65N55 65N12 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Y. Kwak} and \textit{H. Park}, Numer. Algorithms 91, No. 1, 449--471 (2022; Zbl 1502.65208) Full Text: DOI arXiv
Lu, Zhongjie; Xu, Yan A parallel eigensolver for photonic crystals discretized by edge finite elements. (English) Zbl 1502.65181 J. Sci. Comput. 92, No. 3, Paper No. 79, 21 p. (2022). MSC: 65N25 65N30 65F08 65Y10 78A60 82D80 78M10 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{Y. Xu}, J. Sci. Comput. 92, No. 3, Paper No. 79, 21 p. (2022; Zbl 1502.65181) Full Text: DOI
Bevilacqua, Tommaso; Scacchi, Simone BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations. (English) Zbl 1502.65234 J. Sci. Comput. 92, No. 2, Paper No. 63, 27 p. (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N55 65N30 65F08 65F35 65N12 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{T. Bevilacqua} and \textit{S. Scacchi}, J. Sci. Comput. 92, No. 2, Paper No. 63, 27 p. (2022; Zbl 1502.65234) Full Text: DOI arXiv
Li, Xujing; Li, Lingxiao A conservative finite element solver for the induction equation of resistive MHD: vector potential method and constraint preconditioning. (English) Zbl 07561091 J. Comput. Phys. 466, Article ID 111416, 20 p. (2022). MSC: 65Nxx 76Wxx 76Mxx PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Li}, J. Comput. Phys. 466, Article ID 111416, 20 p. (2022; Zbl 07561091) Full Text: DOI arXiv
He, Linshuang; Feng, Minfu; Ma, Qiang Penalty-factor-free stabilized nonconforming finite elements for solving stationary Navier-Stokes equations. (English) Zbl 1513.65464 J. Comput. Math. 40, No. 5, 732-759 (2022). MSC: 65N30 76D05 65N15 PDFBibTeX XMLCite \textit{L. He} et al., J. Comput. Math. 40, No. 5, 732--759 (2022; Zbl 1513.65464) Full Text: DOI
Gao, Wenwu; Fasshauer, Gregory E.; Fisher, Nicholas Divergence-free quasi-interpolation. (English) Zbl 1512.41002 Appl. Comput. Harmon. Anal. 60, 471-488 (2022). MSC: 41A05 41A63 41A65 65D15 65D30 PDFBibTeX XMLCite \textit{W. Gao} et al., Appl. Comput. Harmon. Anal. 60, 471--488 (2022; Zbl 1512.41002) Full Text: DOI
Lee, Manseob; Oh, Jumi; Park, Junmi Kinematic \(N\)-expansive continuous dynamical systems. (English) Zbl 1503.37040 Rev. Math. Phys. 34, No. 5, Article ID 2250012, 16 p. (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C20 37C05 37C10 37C29 37D05 PDFBibTeX XMLCite \textit{M. Lee} et al., Rev. Math. Phys. 34, No. 5, Article ID 2250012, 16 p. (2022; Zbl 1503.37040) Full Text: DOI
Botti, Lorenzo; Massa, Francesco Carlo HHO methods for the incompressible Navier-Stokes and the incompressible Euler equations. (English) Zbl 1490.65189 J. Sci. Comput. 92, No. 1, Paper No. 28, 38 p. (2022). MSC: 65M60 76B47 76D05 PDFBibTeX XMLCite \textit{L. Botti} and \textit{F. C. Massa}, J. Sci. Comput. 92, No. 1, Paper No. 28, 38 p. (2022; Zbl 1490.65189) Full Text: DOI arXiv
Li, Di; Sun, Zhiyuan; Wang, Fengru; Yang, Jerry Zhijian The discontinuous Galerkin method by divergence-free patch reconstruction for Stokes eigenvalue problems. (English) Zbl 1513.65452 Numer. Math., Theory Methods Appl. 15, No. 2, 484-509 (2022). MSC: 65N21 65N30 65N15 PDFBibTeX XMLCite \textit{D. Li} et al., Numer. Math., Theory Methods Appl. 15, No. 2, 484--509 (2022; Zbl 1513.65452) Full Text: DOI
Simon, J. S. H.; Notsu, Hirofumi A shape design problem for the Navier-Stokes flow with a convective boundary condition. (English) Zbl 1499.76039 Comput. Appl. Math. 41, No. 4, Paper No. 167, 44 p. (2022). MSC: 76D05 35Q30 49M41 49Q10 PDFBibTeX XMLCite \textit{J. S. H. Simon} and \textit{H. Notsu}, Comput. Appl. Math. 41, No. 4, Paper No. 167, 44 p. (2022; Zbl 1499.76039) Full Text: DOI arXiv
Liu, Xin; Nie, Yufeng Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free. (English) Zbl 1493.65217 Numer. Algorithms 90, No. 2, 477-506 (2022). MSC: 65N30 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Nie}, Numer. Algorithms 90, No. 2, 477--506 (2022; Zbl 1493.65217) Full Text: DOI
Kean, Kiera; Neilan, Michael; Schneier, Michael The Scott-Vogelius method for the Stokes problem on anisotropic meshes. (English) Zbl 1485.65118 Int. J. Numer. Anal. Model. 19, No. 2-3, 157-174 (2022). MSC: 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{K. Kean} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 157--174 (2022; Zbl 1485.65118) Full Text: arXiv Link
Gawlik, Evan S.; Gay-Balmaz, François A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\). (English) Zbl 07517115 J. Comput. Phys. 450, Article ID 110847, 20 p. (2022). MSC: 65Mxx 76Mxx 76Wxx PDFBibTeX XMLCite \textit{E. S. Gawlik} and \textit{F. Gay-Balmaz}, J. Comput. Phys. 450, Article ID 110847, 20 p. (2022; Zbl 07517115) Full Text: DOI arXiv
Baltazar, H.; Matos Neto, M. A note on the classification of noncompact quasi-Einstein manifolds with vanishing condition on the Weyl tensor. (English) Zbl 1491.53057 Glasg. Math. J. 64, No. 2, 336-346 (2022). MSC: 53C25 53C20 53C21 PDFBibTeX XMLCite \textit{H. Baltazar} and \textit{M. Matos Neto}, Glasg. Math. J. 64, No. 2, 336--346 (2022; Zbl 1491.53057) Full Text: DOI arXiv
Apel, Thomas; Kempf, Volker; Linke, Alexander; Merdon, Christian A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. (English) Zbl 1502.65185 IMA J. Numer. Anal. 42, No. 1, 392-416 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{T. Apel} et al., IMA J. Numer. Anal. 42, No. 1, 392--416 (2022; Zbl 1502.65185) Full Text: DOI arXiv
Fabien, Maurice; Guzmán, Johnny; Neilan, Michael; Zytoon, Ahmed Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. (English) Zbl 1507.76100 Comput. Methods Appl. Mech. Eng. 390, Article ID 114444, 21 p. (2022). MSC: 76M10 65M60 76D07 PDFBibTeX XMLCite \textit{M. Fabien} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114444, 21 p. (2022; Zbl 1507.76100) Full Text: DOI arXiv
Zhang, Xiaodi; Wang, Xiaorong A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations. (English) Zbl 1481.65234 J. Sci. Comput. 90, No. 2, Paper No. 70, 30 p. (2022). MSC: 65N30 65N12 65N15 65H10 76W05 76D07 76M10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Wang}, J. Sci. Comput. 90, No. 2, Paper No. 70, 30 p. (2022; Zbl 1481.65234) Full Text: DOI
Kadri Harouna, Souleymane; Perrier, Valérie Homogeneous Dirichlet wavelets on the interval diagonalizing the derivative operator, and application to free-slip divergence-free wavelets. (English) Zbl 1487.42084 J. Math. Anal. Appl. 505, No. 2, Article ID 125479, 32 p. (2022). Reviewer: Kai Schneider (Marseille) MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{S. Kadri Harouna} and \textit{V. Perrier}, J. Math. Anal. Appl. 505, No. 2, Article ID 125479, 32 p. (2022; Zbl 1487.42084) Full Text: DOI
Yang, Hongli; Zeng, Xianyang; Wu, Xinyuan A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell’s equations. (English) Zbl 07695960 Comput. Phys. Commun. 268, Article ID 108101, 27 p. (2021). MSC: 65Mxx 65Nxx 76-XX PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Phys. Commun. 268, Article ID 108101, 27 p. (2021; Zbl 07695960) Full Text: DOI
Liu, Mengqing; Zhang, Man; Li, Caixia; Shen, Fang A new locally divergence-free WLS-ENO scheme based on the positivity-preserving finite volume method for ideal MHD equations. (English) Zbl 07516441 J. Comput. Phys. 447, Article ID 110694, 24 p. (2021). MSC: 65Mxx 76Mxx 76Wxx PDFBibTeX XMLCite \textit{M. Liu} et al., J. Comput. Phys. 447, Article ID 110694, 24 p. (2021; Zbl 07516441) Full Text: DOI
Hu, Kaibo; Lee, Young-Ju; Xu, Jinchao Helicity-conservative finite element discretization for incompressible MHD systems. (English) Zbl 07513848 J. Comput. Phys. 436, Article ID 110284, 17 p. (2021). MSC: 65Nxx 76Mxx 76Wxx PDFBibTeX XMLCite \textit{K. Hu} et al., J. Comput. Phys. 436, Article ID 110284, 17 p. (2021; Zbl 07513848) Full Text: DOI arXiv
Li, Lingxiao; Zhang, Donghang; Zheng, Weiying A constrained transport divergence-free finite element method for incompressible MHD equations. (English) Zbl 07511418 J. Comput. Phys. 428, Article ID 109980, 22 p. (2021). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Phys. 428, Article ID 109980, 22 p. (2021; Zbl 07511418) Full Text: DOI arXiv
Han Veiga, Maria; Velasco-Romero, David A.; Wenger, Quentin; Teyssier, Romain An arbitrary high-order spectral difference method for the induction equation. (English) Zbl 07505947 J. Comput. Phys. 438, Article ID 110327, 27 p. (2021). MSC: 65Mxx 76Mxx 76Wxx PDFBibTeX XMLCite \textit{M. Han Veiga} et al., J. Comput. Phys. 438, Article ID 110327, 27 p. (2021; Zbl 07505947) Full Text: DOI arXiv
Ishi, Hideyuki; Oshiro, Kazuhide Continuous wavelet transforms for vector-valued functions. (English) Zbl 1485.42053 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 331-339 (2021). MSC: 42C40 PDFBibTeX XMLCite \textit{H. Ishi} and \textit{K. Oshiro}, Lect. Notes Comput. Sci. 12829, 331--339 (2021; Zbl 1485.42053) Full Text: DOI
Ali, Mohabbat; Vasiulla, Mohd Almost pseudo Ricci symmetric manifold admitting Schouten tensor. (English) Zbl 1499.53212 J. Dyn. Syst. Geom. Theor. 19, No. 2, 217-225 (2021). MSC: 53C25 PDFBibTeX XMLCite \textit{M. Ali} and \textit{M. Vasiulla}, J. Dyn. Syst. Geom. Theor. 19, No. 2, 217--225 (2021; Zbl 1499.53212) Full Text: DOI
Serre, Denis Projective properties of divergence-free symmetric tensors, and new dispersive estimates in gas dynamics. (English) Zbl 1490.35283 Milan J. Math. 89, No. 2, 433-452 (2021). MSC: 35Q31 35B06 35B30 35B45 35F35 35Q20 PDFBibTeX XMLCite \textit{D. Serre}, Milan J. Math. 89, No. 2, 433--452 (2021; Zbl 1490.35283) Full Text: DOI arXiv
Wang, Gang; Wang, Feng; He, Yinnian A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. (English) Zbl 1501.65129 Adv. Comput. Math. 47, No. 6, Paper No. 83, 37 p. (2021). MSC: 65N30 65N15 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{G. Wang} et al., Adv. Comput. Math. 47, No. 6, Paper No. 83, 37 p. (2021; Zbl 1501.65129) Full Text: DOI
Allendes, Alejandro; Barrenechea, Gabriel R.; Novo, Julia A divergence-free stabilized finite element method for the evolutionary Navier-Stokes equations. (English) Zbl 1477.35115 SIAM J. Sci. Comput. 43, No. 6, A3809-A3836 (2021). MSC: 35Q30 76D05 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 43, No. 6, A3809--A3836 (2021; Zbl 1477.35115) Full Text: DOI
Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. (English) Zbl 1477.65185 SIAM J. Numer. Anal. 59, No. 5, 2746-2774 (2021). MSC: 65N30 65N12 76D07 76D05 76E06 PDFBibTeX XMLCite \textit{N. Ahmed} et al., SIAM J. Numer. Anal. 59, No. 5, 2746--2774 (2021; Zbl 1477.65185) Full Text: DOI arXiv
Zhang, Xiaodi; Ding, Qianqian Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method. (English) Zbl 1491.65154 J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021). MSC: 65N30 65N12 65N15 35A01 35A02 76W05 76D05 78A25 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Q. Ding}, J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021; Zbl 1491.65154) Full Text: DOI
Aleksandrov, A. V.; Dorodnitsyn, L. W.; Duben’, A. P.; Kolyukhin, D. R. Generation of anisotropic turbulent velocity fields based on the randomized spectral method. (Russian. English summary) Zbl 1470.76037 Mat. Model. 33, No. 7, 35-46 (2021). MSC: 76F65 76M22 76M35 PDFBibTeX XMLCite \textit{A. V. Aleksandrov} et al., Mat. Model. 33, No. 7, 35--46 (2021; Zbl 1470.76037) Full Text: DOI MNR
Liu, Xuefeng; Nakao, Mitsuhiro T.; You, Chun’guang; Oishi, Shin’ichi Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations. (English) Zbl 1471.76046 Japan J. Ind. Appl. Math. 38, No. 2, 545-559 (2021). Reviewer: J. Manimaran (Ponda) MSC: 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{X. Liu} et al., Japan J. Ind. Appl. Math. 38, No. 2, 545--559 (2021; Zbl 1471.76046) Full Text: DOI arXiv
Apel, Thomas; Kempf, Volker Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading. (English) Zbl 1477.65187 Calcolo 58, No. 2, Paper No. 15, 20 p. (2021). MSC: 65N30 65N50 65N15 65N12 76M10 76D07 35Q35 PDFBibTeX XMLCite \textit{T. Apel} and \textit{V. Kempf}, Calcolo 58, No. 2, Paper No. 15, 20 p. (2021; Zbl 1477.65187) Full Text: DOI arXiv
Caniato, Riccardo The strong \(L^p\)-closure of vector fields with finitely many integer singularities on \(B^3\). (English) Zbl 1475.58033 J. Funct. Anal. 281, No. 6, Article ID 109095, 50 p. (2021). Reviewer: Dorin Andrica (Riyadh) MSC: 58K45 58K20 PDFBibTeX XMLCite \textit{R. Caniato}, J. Funct. Anal. 281, No. 6, Article ID 109095, 50 p. (2021; Zbl 1475.58033) Full Text: DOI arXiv
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B. A partition of unity method for divergence-free or curl-free radial basis function approximation. (English) Zbl 1512.65031 SIAM J. Sci. Comput. 43, No. 3, A1950-A1974 (2021). MSC: 65D12 41A05 41A30 PDFBibTeX XMLCite \textit{K. P. Drake} et al., SIAM J. Sci. Comput. 43, No. 3, A1950--A1974 (2021; Zbl 1512.65031) Full Text: DOI arXiv