Bacciocchi, Michele; Fantuzzi, Nicholas On the mapping procedure based on higher-order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity. (English) Zbl 07773181 Int. J. Numer. Methods Eng. 124, No. 11, 2552-2570 (2023). MSC: 74Kxx 74Axx 74Sxx PDF BibTeX XML Cite \textit{M. Bacciocchi} and \textit{N. Fantuzzi}, Int. J. Numer. Methods Eng. 124, No. 11, 2552--2570 (2023; Zbl 07773181) Full Text: DOI
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. (English) Zbl 07764835 SIAM J. Numer. Anal. 61, No. 5, 2460-2484 (2023). MSC: 65N30 65N50 65N12 65N15 31A30 PDF BibTeX XML Cite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 61, No. 5, 2460--2484 (2023; Zbl 07764835) Full Text: DOI arXiv
Chen, Mingqing; Huang, Jianguo; Huang, Xuehai A robust lower-order mixed finite element method for a strain gradient elastic model. (English) Zbl 07754850 SIAM J. Numer. Anal. 61, No. 5, 2237-2260 (2023). MSC: 65N30 65N12 65N15 65N22 74B10 35B65 31A30 35Q74 PDF BibTeX XML Cite \textit{M. Chen} et al., SIAM J. Numer. Anal. 61, No. 5, 2237--2260 (2023; Zbl 07754850) Full Text: DOI arXiv
Zhang, Shangyou A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow. (English) Zbl 07745015 J. Numer. Math. 31, No. 3, 157-173 (2023). MSC: 65-XX 65N15 65N30 76M10 PDF BibTeX XML Cite \textit{S. Zhang}, J. Numer. Math. 31, No. 3, 157--173 (2023; Zbl 07745015) Full Text: DOI
Szulc, Katarzyna Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements. (English) Zbl 07742541 Evol. Equ. Control Theory 12, No. 6, 1456-1472 (2023). MSC: 65-XX 35G45 31A30 35B41 74K20 65N12 65N25 PDF BibTeX XML Cite \textit{K. Szulc}, Evol. Equ. Control Theory 12, No. 6, 1456--1472 (2023; Zbl 07742541) Full Text: DOI
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. (English) Zbl 07739205 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2041-2076 (2023). MSC: 65N30 65N15 35R05 PDF BibTeX XML Cite \textit{H. Ji} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2041--2076 (2023; Zbl 07739205) Full Text: DOI arXiv
Wang, Tongli; Zhao, Jikun Error analysis of nonconforming virtual element method for Stokes problem with low regularity. (English) Zbl 07734109 Taiwanese J. Math. 27, No. 4, 719-735 (2023). MSC: 65N12 65N30 PDF BibTeX XML Cite \textit{T. Wang} and \textit{J. Zhao}, Taiwanese J. Math. 27, No. 4, 719--735 (2023; Zbl 07734109) Full Text: DOI Link
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 07730755 J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023). MSC: 65N30 65N15 65N12 35B45 76D07 PDF BibTeX XML Cite \textit{W. Chen} et al., J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023; Zbl 07730755) Full Text: DOI arXiv
Shi, Dongyang; Zhang, Sihui Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory. (English) Zbl 07727104 Appl. Math. Lett. 145, Article ID 108726, 9 p. (2023). MSC: 65Mxx 65Nxx 35Kxx PDF BibTeX XML Cite \textit{D. Shi} and \textit{S. Zhang}, Appl. Math. Lett. 145, Article ID 108726, 9 p. (2023; Zbl 07727104) Full Text: DOI
Huang, Xuehai Nonconforming finite element Stokes complexes in three dimensions. (English) Zbl 07726232 Sci. China, Math. 66, No. 8, 1879-1902 (2023). MSC: 65N30 65N12 65N15 65N22 76D07 76W05 35Q35 PDF BibTeX XML Cite \textit{X. Huang}, Sci. China, Math. 66, No. 8, 1879--1902 (2023; Zbl 07726232) Full Text: DOI arXiv
Kaltenbach, Alex; RůžIčka, Michael A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. (English) Zbl 1518.76035 SIAM J. Numer. Anal. 61, No. 4, 1613-1640 (2023). MSC: 76M10 76D05 76D07 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{A. Kaltenbach} and \textit{M. RůžIčka}, SIAM J. Numer. Anal. 61, No. 4, 1613--1640 (2023; Zbl 1518.76035) Full Text: DOI arXiv
Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-Phuong Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids. (English) Zbl 07708365 J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023). MSC: 65M55 65N30 76S05 35K20 PDF BibTeX XML Cite \textit{P.-T. Huynh} et al., J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023; Zbl 07708365) Full Text: DOI arXiv
Zhang, Baiju; Zhang, Zhimin A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. (English) Zbl 1515.65303 Commun. Comput. Phys. 33, No. 4, 1069-1089 (2023). MSC: 65N30 65N15 41A25 PDF BibTeX XML Cite \textit{B. Zhang} and \textit{Z. Zhang}, Commun. Comput. Phys. 33, No. 4, 1069--1089 (2023; Zbl 1515.65303) Full Text: DOI arXiv
Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico A general class of enriched methods for the simplicial linear finite elements. (English) Zbl 07704219 Appl. Math. Comput. 456, Article ID 128149, 17 p. (2023). MSC: 65Nxx 65Dxx 74Sxx PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Math. Comput. 456, Article ID 128149, 17 p. (2023; Zbl 07704219) Full Text: DOI
Adak, D.; Mora, D.; Silgado, A. A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes. (English) Zbl 1515.65283 J. Comput. Appl. Math. 425, Article ID 115026, 23 p. (2023). MSC: 65N30 35Q35 65N12 65N15 PDF BibTeX XML Cite \textit{D. Adak} et al., J. Comput. Appl. Math. 425, Article ID 115026, 23 p. (2023; Zbl 1515.65283) Full Text: DOI
Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. (English) Zbl 1517.65093 Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023). MSC: 65M60 65M06 65N30 65H10 65D05 65M12 74N05 35Q74 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Wei} et al., Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023; Zbl 1517.65093) Full Text: DOI
Li, Meng; Wang, Lingli; Wang, Nan Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations. (English) Zbl 07699047 Appl. Numer. Math. 186, 378-410 (2023). MSC: 65Mxx 65Nxx 35Qxx PDF BibTeX XML Cite \textit{M. Li} et al., Appl. Numer. Math. 186, 378--410 (2023; Zbl 07699047) Full Text: DOI
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations. (English) Zbl 07699025 Appl. Numer. Math. 185, 571-591 (2023). MSC: 65Mxx 65Nxx 35Kxx PDF BibTeX XML Cite \textit{S. Zhang} et al., Appl. Numer. Math. 185, 571--591 (2023; Zbl 07699025) Full Text: DOI
Xu, Chao; Pei, Lifang Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers’ equation. (English) Zbl 07698995 Appl. Numer. Math. 185, 1-17 (2023). MSC: 65Mxx 65Nxx 76Mxx PDF BibTeX XML Cite \textit{C. Xu} and \textit{L. Pei}, Appl. Numer. Math. 185, 1--17 (2023; Zbl 07698995) Full Text: DOI
Kumar, N. Kishore; Joshi, Shivangi Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions. (English) Zbl 07687538 Comput. Appl. Math. 42, No. 3, Paper No. 139, 40 p. (2023). MSC: 65L10 65L20 65L60 65L05 PDF BibTeX XML Cite \textit{N. K. Kumar} and \textit{S. Joshi}, Comput. Appl. Math. 42, No. 3, Paper No. 139, 40 p. (2023; Zbl 07687538) Full Text: DOI
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDF BibTeX XML Cite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 1521.65118 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Puttkammer}, SIAM J. Numer. Anal. 61, No. 2, 812--836 (2023; Zbl 1521.65118) Full Text: DOI arXiv
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Yu, Zhiyun; Shi, Dongyang; Zhu, Huiqing A low order nonconforming mixed finite element method for non-stationary incompressible magnetohydrodynamics system. (English) Zbl 1515.65253 J. Comput. Math. 41, No. 4, 545-563 (2023). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{Z. Yu} et al., J. Comput. Math. 41, No. 4, 545--563 (2023; Zbl 1515.65253) Full Text: DOI
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDF BibTeX XML Cite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Cao, Fangfang; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Yao, Changhui Nonconforming mixed FEM analysis for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with time-space coupled derivative. (English) Zbl 1513.65352 Adv. Appl. Math. Mech. 15, No. 2, 322-358 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDF BibTeX XML Cite \textit{F. Cao} et al., Adv. Appl. Math. Mech. 15, No. 2, 322--358 (2023; Zbl 1513.65352) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico On the improvement of the triangular Shepard method by non conformal polynomial elements. (English) Zbl 07630344 Appl. Numer. Math. 184, 446-460 (2023). MSC: 65-XX 41Axx 65Dxx 65Nxx PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Numer. Math. 184, 446--460 (2023; Zbl 07630344) Full Text: DOI
Dörich, Benjamin; Leibold, Jan; Maier, Bernhard Optimal \(W^{1,\infty}\)-estimates for an isoparametric finite element discretization of elliptic boundary value problems. (English) Zbl 1498.65197 ETNA, Electron. Trans. Numer. Anal. 58, 1-21 (2023). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{B. Dörich} et al., ETNA, Electron. Trans. Numer. Anal. 58, 1--21 (2023; Zbl 1498.65197) Full Text: DOI
Wang, Junjun; Li, Meng; Li, Xi A new energy-stable nonconforming finite element method for Sobolev equation with Burgers’ type nonlinearity. (English) Zbl 1503.65250 Appl. Math. Lett. 135, Article ID 108440, 9 p. (2023). MSC: 65M60 35Q35 65M12 PDF BibTeX XML Cite \textit{J. Wang} et al., Appl. Math. Lett. 135, Article ID 108440, 9 p. (2023; Zbl 1503.65250) Full Text: DOI
Ray, Tanushree; Sinha, Rajen Kumar A posteriori error estimation and adaptive mesh refinement for parabolic interface problems using non-conforming immersed finite element method. (English) Zbl 1503.65245 J. Comput. Appl. Math. 419, Article ID 114714, 17 p. (2023). MSC: 65M60 35J20 65M15 65M50 PDF BibTeX XML Cite \textit{T. Ray} and \textit{R. K. Sinha}, J. Comput. Appl. Math. 419, Article ID 114714, 17 p. (2023; Zbl 1503.65245) Full Text: DOI
Li, Meng Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations. (English) Zbl 1504.65208 J. Sci. Comput. 93, No. 3, Paper No. 86, 44 p. (2022). MSC: 65M60 65M06 65N30 65N35 65N12 65N15 76D07 35Q35 35Q55 35Q41 PDF BibTeX XML Cite \textit{M. Li}, J. Sci. Comput. 93, No. 3, Paper No. 86, 44 p. (2022; Zbl 1504.65208) Full Text: DOI
Meng, Zhaoliang Modified Morley method by free formula for fourth order elliptic singular perturbation problems. (English) Zbl 07609001 Comput. Math. Appl. 126, 212-225 (2022). MSC: 74S05 65N30 35J40 65N12 35B25 PDF BibTeX XML Cite \textit{Z. Meng}, Comput. Math. Appl. 126, 212--225 (2022; Zbl 07609001) Full Text: DOI
Walker, Shawn W. The Kirchhoff plate equation on surfaces: the surface Hellan-Herrmann-Johnson method. (English) Zbl 1519.65058 IMA J. Numer. Anal. 42, No. 4, 3094-3134 (2022). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N50 65N12 65N15 35J48 74K20 74S05 35Q74 PDF BibTeX XML Cite \textit{S. W. Walker}, IMA J. Numer. Anal. 42, No. 4, 3094--3134 (2022; Zbl 1519.65058) Full Text: DOI
Ern, Alexandre; Guermond, Jean-Luc Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. (English) Zbl 1501.35156 Found. Comput. Math. 22, No. 5, 1273-1308 (2022). MSC: 35J25 65N15 65N30 PDF BibTeX XML Cite \textit{A. Ern} and \textit{J.-L. Guermond}, Found. Comput. Math. 22, No. 5, 1273--1308 (2022; Zbl 1501.35156) Full Text: DOI arXiv
Hansbo, Peter; Larson, Mats G. A simple nonconforming tetrahedral element for the Stokes equations. (English) Zbl 1507.74476 Comput. Methods Appl. Mech. Eng. 400, Article ID 115549, 14 p. (2022). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{P. Hansbo} and \textit{M. G. Larson}, Comput. Methods Appl. Mech. Eng. 400, Article ID 115549, 14 p. (2022; Zbl 1507.74476) Full Text: DOI arXiv
Chowdhury, Sudipto; Dond, Asha K.; Nataraj, Neela; Shylaja, Devika A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1501.65108 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655-1686 (2022). MSC: 65N30 65N15 49M05 49M25 49M41 74K20 31A30 35Q74 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655--1686 (2022; Zbl 1501.65108) Full Text: DOI arXiv
Zhou, Xinchen; Meng, Zhaoliang; Fan, Xin; Luo, Zhongxuan High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model. (English) Zbl 1513.65477 Comput. Appl. Math. 41, No. 6, Paper No. 288, 19 p. (2022). MSC: 65N30 76M10 65N12 65N15 35Q35 PDF BibTeX XML Cite \textit{X. Zhou} et al., Comput. Appl. Math. 41, No. 6, Paper No. 288, 19 p. (2022; Zbl 1513.65477) Full Text: DOI
Acharya, Sanjib Kumar; Porwal, Kamana Primal hybrid finite element method for the linear elasticity problem. (English) Zbl 1510.74112 Appl. Math. Comput. 435, Article ID 127462, 14 p. (2022). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{S. K. Acharya} and \textit{K. Porwal}, Appl. Math. Comput. 435, Article ID 127462, 14 p. (2022; Zbl 1510.74112) Full Text: DOI
Zhang, Houchao; Zhu, Weijun Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation. (English) Zbl 1497.65187 Appl. Anal. 101, No. 14, 4942-4964 (2022). MSC: 65M60 65M06 65N30 65N15 65N12 35A01 35A02 35Q55 35Q41 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{W. Zhu}, Appl. Anal. 101, No. 14, 4942--4964 (2022; Zbl 1497.65187) Full Text: DOI
Li, Yanjun; Han, Jiayu; Yang, Yidu; Bi, Hai The a priori and a posteriori error estimates of Crouzeix-Raviart element for the fluid-solid vibration problem. (English) Zbl 1513.65456 Int. J. Comput. Math. 99, No. 10, 1968-1988 (2022). MSC: 65N25 65N30 74F10 74H45 35B45 65N15 PDF BibTeX XML Cite \textit{Y. Li} et al., Int. J. Comput. Math. 99, No. 10, 1968--1988 (2022; Zbl 1513.65456) Full Text: DOI
Carstensen, Carsten; Sauter, Stefan A. Crouzeix-Raviart triangular elements are inf-sup stable. (English) Zbl 1496.65211 Math. Comput. 91, No. 337, 2041-2057 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 76D07 76M10 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. A. Sauter}, Math. Comput. 91, No. 337, 2041--2057 (2022; Zbl 1496.65211) Full Text: DOI arXiv
Zhang, Bei; Zhao, Jikun; Li, Minghao; Chen, Hongru Stabilized nonconforming mixed finite element method for linear elasticity on rectangular or cubic meshes. (English) Zbl 1513.65473 J. Comput. Math. 40, No. 6, 869-885 (2022). MSC: 65N30 65N15 65N12 74B10 35Q74 74S05 PDF BibTeX XML Cite \textit{B. Zhang} et al., J. Comput. Math. 40, No. 6, 869--885 (2022; Zbl 1513.65473) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Y. Kwak} and \textit{H. Park}, Numer. Algorithms 91, No. 1, 449--471 (2022; Zbl 1502.65208) Full Text: DOI arXiv
Xiao, Liuchao; Zhou, Meng; Zhao, Jikun The nonconforming virtual element method for semilinear elliptic problems. (English) Zbl 1510.65300 Appl. Math. Comput. 433, Article ID 127402, 10 p. (2022). MSC: 65N30 35J61 65N12 PDF BibTeX XML Cite \textit{L. Xiao} et al., Appl. Math. Comput. 433, Article ID 127402, 10 p. (2022; Zbl 1510.65300) Full Text: DOI
Zhao, Jikun; Wang, Tianle; Zhang, Bei The stabilized nonconforming virtual element method for linear elasticity problem. (English) Zbl 1492.65335 J. Sci. Comput. 92, No. 2, Paper No. 68, 29 p. (2022). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{J. Zhao} et al., J. Sci. Comput. 92, No. 2, Paper No. 68, 29 p. (2022; Zbl 1492.65335) Full Text: DOI
Wei, Yabing; Lü, Shujuan; Wang, Fenling; Liu, F.; Zhao, Yanmin Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data. (English) Zbl 07566248 Comput. Math. Appl. 119, 159-173 (2022). MSC: 65M60 65M12 65M06 35R11 65M15 26A33 PDF BibTeX XML Cite \textit{Y. Wei} et al., Comput. Math. Appl. 119, 159--173 (2022; Zbl 07566248) Full Text: DOI
Wang, Jin; Zhang, Xu; Zhuang, Qiao An immersed Crouzeix-Raviart finite element method for Navier-Stokes equations with moving interfaces. (English) Zbl 1513.65470 Int. J. Numer. Anal. Model. 19, No. 4, 563-586 (2022). MSC: 65N30 35Q30 PDF BibTeX XML Cite \textit{J. Wang} et al., Int. J. Numer. Anal. Model. 19, No. 4, 563--586 (2022; Zbl 1513.65470) Full Text: Link
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. (English) Zbl 1502.65130 IMA J. Numer. Anal. 42, No. 3, 2238-2300 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDF BibTeX XML Cite \textit{M. Li} et al., IMA J. Numer. Anal. 42, No. 3, 2238--2300 (2022; Zbl 1502.65130) Full Text: DOI
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 PDF BibTeX XML Cite \textit{L. He} et al., J. Comput. Math. 40, No. 5, 732--759 (2022; Zbl 1513.65464) Full Text: DOI
Zhang, Lu; Wang, Siyang A high order finite difference method for the elastic wave equation in bounded domains with nonconforming interfaces. (English) Zbl 1492.65247 SIAM J. Numer. Anal. 60, No. 3, 1516-1547 (2022). MSC: 65M06 65M12 65M50 65M85 74J10 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{S. Wang}, SIAM J. Numer. Anal. 60, No. 3, 1516--1547 (2022; Zbl 1492.65247) Full Text: DOI arXiv
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. (English) Zbl 1496.65209 Numer. Math. 151, No. 3, 551-600 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 65N15 35J15 35B45 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 151, No. 3, 551--600 (2022; Zbl 1496.65209) Full Text: DOI arXiv
Bertoluzza, S.; Manzini, G.; Pennacchio, M.; Prada, D. Stabilization of the nonconforming virtual element method. (English) Zbl 07546657 Comput. Math. Appl. 116, 25-47 (2022). MSC: 65N30 65N12 65N15 35J25 65N50 PDF BibTeX XML Cite \textit{S. Bertoluzza} et al., Comput. Math. Appl. 116, 25--47 (2022; Zbl 07546657) Full Text: DOI arXiv
Guan, Hongbo; Yang, Yong; Zhu, Huiqing A locking-free nonconforming FEM for optimal control problems governed by linear elasticity equations. (English) Zbl 1489.65160 J. Comput. Appl. Math. 413, Article ID 114299, 11 p. (2022). MSC: 65N30 35L65 49M41 74B05 PDF BibTeX XML Cite \textit{H. Guan} et al., J. Comput. Appl. Math. 413, Article ID 114299, 11 p. (2022; Zbl 1489.65160) Full Text: DOI
Dörich, Benjamin; Leibold, Jan Full discretization error analysis of exponential integrators for semilinear wave equations. (English) Zbl 1496.65161 Math. Comput. 91, No. 336, 1687-1709 (2022). Reviewer: J. Manimaran (Thiruvananthapuram) MSC: 65M60 65M06 65N30 65L06 65L04 65M12 65M15 65J08 76Q05 PDF BibTeX XML Cite \textit{B. Dörich} and \textit{J. Leibold}, Math. Comput. 91, No. 336, 1687--1709 (2022; Zbl 1496.65161) Full Text: DOI Link
Xu, Jiali; Su, Haiyan; Li, Zhilin Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations. (English) Zbl 1492.65332 Numer. Algorithms 90, No. 3, 1117-1151 (2022). MSC: 65N30 65N12 65N15 65K10 76W05 35A01 35A02 76M10 PDF BibTeX XML Cite \textit{J. Xu} et al., Numer. Algorithms 90, No. 3, 1117--1151 (2022; Zbl 1492.65332) Full Text: DOI
Xu, Chao; Pei, Lifang Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation. (English) Zbl 07537410 Comput. Math. Appl. 115, 1-13 (2022). MSC: 65M60 65M12 65M06 35Q56 65M15 65M06 PDF BibTeX XML Cite \textit{C. Xu} and \textit{L. Pei}, Comput. Math. Appl. 115, 1--13 (2022; Zbl 07537410) Full Text: DOI
Shen, Yue; Gong, Wei; Yan, Ningning Convergence of adaptive nonconforming finite element method for Stokes optimal control problems. (English) Zbl 1493.65231 J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022). MSC: 65N30 65N50 65N12 49M41 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022; Zbl 1493.65231) Full Text: DOI
Kumar, N. Kishore; Mohapatra, Subhashree Performance of nonconforming spectral element method for Stokes problems. (English) Zbl 1499.65700 Comput. Appl. Math. 41, No. 4, Paper No. 156, 20 p. (2022). MSC: 65N35 65F10 35J57 76D07 PDF BibTeX XML Cite \textit{N. K. Kumar} and \textit{S. Mohapatra}, Comput. Appl. Math. 41, No. 4, Paper No. 156, 20 p. (2022; Zbl 1499.65700) Full Text: DOI arXiv
Lee, Lia Electrical impedance tomography using nonconforming mesh and posterior approximated regression. (Abstract of thesis). (English) Zbl 1496.62167 Bull. Aust. Math. Soc. 105, No. 3, 520-522 (2022). MSC: 62M40 35B45 62C10 62E17 62F15 65N21 65N30 PDF BibTeX XML Cite \textit{L. Lee}, Bull. Aust. Math. Soc. 105, No. 3, 520--522 (2022; Zbl 1496.62167) Full Text: DOI
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 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Y. Nie}, Numer. Algorithms 90, No. 2, 477--506 (2022; Zbl 1493.65217) Full Text: DOI
Dedner, Andreas; Hodson, Alice Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients. (English) Zbl 1501.65109 IMA J. Numer. Anal. 42, No. 2, 1364-1399 (2022). MSC: 65N30 65N12 65N15 35B20 35G05 35G20 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{A. Hodson}, IMA J. Numer. Anal. 42, No. 2, 1364--1399 (2022; Zbl 1501.65109) Full Text: DOI arXiv
Gao, Jiawei; Li, Jian Comparative study of space iteration methods based on nonconforming finite element for stationary Navier-Stokes equations. (English) Zbl 07524373 East Asian J. Appl. Math. 12, No. 3, 628-648 (2022). MSC: 65-XX 35L70 65N30 76D06 PDF BibTeX XML Cite \textit{J. Gao} and \textit{J. Li}, East Asian J. Appl. Math. 12, No. 3, 628--648 (2022; Zbl 07524373) Full Text: DOI
Wang, Quanxiang; Xie, Jianqiang; Zhang, Zhiyue Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces. (English) Zbl 1490.49021 Appl. Anal. 101, No. 6, 2197-2216 (2022). MSC: 49M41 49M05 49M25 65K10 65N30 82B24 PDF BibTeX XML Cite \textit{Q. Wang} et al., Appl. Anal. 101, No. 6, 2197--2216 (2022; Zbl 1490.49021) Full Text: DOI
Xu, Jiali; Feng, Xinlong; Su, Haiyan Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations. (English) Zbl 1521.76375 Comput. Fluids 238, Article ID 105372, 12 p. (2022). MSC: 76M10 65M60 65M12 65M15 76W05 PDF BibTeX XML Cite \textit{J. Xu} et al., Comput. Fluids 238, Article ID 105372, 12 p. (2022; Zbl 1521.76375) Full Text: DOI
He, Xiaoxiao; Song, Fei; Deng, Weibing A stabilized nonconforming Nitsche’s extended finite element method for Stokes interface problems. (English) Zbl 1491.65140 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849-2871 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N15 76D07 76M10 35B45 PDF BibTeX XML Cite \textit{X. He} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849--2871 (2022; Zbl 1491.65140) Full Text: DOI arXiv
Grekas, Georgios; Koumatos, Konstantinos; Makridakis, Charalambos; Rosakis, Phoebus Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: \(\Gamma\)-convergence analysis. (English) Zbl 1489.65159 SIAM J. Numer. Anal. 60, No. 2, 715-750 (2022). MSC: 65N30 65N12 49J45 74G65 74L15 74B20 92C10 46E30 PDF BibTeX XML Cite \textit{G. Grekas} et al., SIAM J. Numer. Anal. 60, No. 2, 715--750 (2022; Zbl 1489.65159) Full Text: DOI arXiv
Jo, Gwanghyun; Kwak, Do Y. Mixed virtual volume methods for elliptic problems. (English) Zbl 1504.65240 Comput. Math. Appl. 113, 345-352 (2022). MSC: 65N08 PDF BibTeX XML Cite \textit{G. Jo} and \textit{D. Y. Kwak}, Comput. Math. Appl. 113, 345--352 (2022; Zbl 1504.65240) Full Text: DOI arXiv
Kawecki, Ellya L.; Sprekeler, Timo Discontinuous Galerkin and \(C^0\)-IP finite element approximation of periodic Hamilton-Jacobi-Bellman-Isaacs problems with application to numerical homogenization. (English) Zbl 1496.65219 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 679-704 (2022). MSC: 65N30 35B27 35J60 65N12 65N15 35F21 35D40 35B10 35D35 PDF BibTeX XML Cite \textit{E. L. Kawecki} and \textit{T. Sprekeler}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 679--704 (2022; Zbl 1496.65219) Full Text: DOI arXiv
Shurina, E. P.; Itkina, N. B.; Shtabel, N. V.; Shtanko, E. I.; Kutishcheva, A. Yu.; Markov, S. I.; Dobrolubova, D. V. Determination of thermal, stiffness and electrical effective tensors in composite media. (English) Zbl 1484.65303 J. Comput. Appl. Math. 409, Article ID 114009, 21 p. (2022). MSC: 65N30 76S05 65N12 74A40 35B27 80A19 74B10 PDF BibTeX XML Cite \textit{E. P. Shurina} et al., J. Comput. Appl. Math. 409, Article ID 114009, 21 p. (2022; Zbl 1484.65303) Full Text: DOI
Feng, Fang; Han, Weimin; Huang, Jianguo A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem. (English) Zbl 1493.65199 J. Sci. Comput. 90, No. 3, Paper No. 89, 24 p. (2022). MSC: 65N30 65N15 65N12 74G65 74M10 74K20 74S05 35A23 35A01 35A02 35Q74 PDF BibTeX XML Cite \textit{F. Feng} et al., J. Sci. Comput. 90, No. 3, Paper No. 89, 24 p. (2022; Zbl 1493.65199) Full Text: DOI
Sun, Lingling; Yang, Yidu The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. (English) Zbl 1510.65291 Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022). MSC: 65N25 65N30 65N15 35P30 65N12 PDF BibTeX XML Cite \textit{L. Sun} and \textit{Y. Yang}, Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022; Zbl 1510.65291) Full Text: DOI
Shi, Dongyang; Zhang, Houchao A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 07469187 Comput. Math. Appl. 106, 57-73 (2022). MSC: 65M60 35Q55 65M12 65M15 65N30 35Q41 65M06 65Y05 PDF BibTeX XML Cite \textit{D. Shi} and \textit{H. Zhang}, Comput. Math. Appl. 106, 57--73 (2022; Zbl 07469187) Full Text: DOI
He, Xiaoxiao; Deng, Weibing An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems. (English) Zbl 1483.65187 Appl. Numer. Math. 173, 434-452 (2022). MSC: 65N30 65N15 65N12 35J25 76M10 PDF BibTeX XML Cite \textit{X. He} and \textit{W. Deng}, Appl. Numer. Math. 173, 434--452 (2022; Zbl 1483.65187) Full Text: DOI
Quan, Qimeng; Ji, Xia; Zhang, Shuo A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials. (English) Zbl 1481.65231 Calcolo 59, No. 1, Paper No. 5, 32 p. (2022). MSC: 65N30 65N15 58A12 PDF BibTeX XML Cite \textit{Q. Quan} et al., Calcolo 59, No. 1, Paper No. 5, 32 p. (2022; Zbl 1481.65231) Full Text: DOI arXiv
Garg, Deepika; Ganesan, Sashikumaar Generalized local projection stabilized nonconforming finite element methods for Darcy equations. (English) Zbl 1480.65333 Numer. Algorithms 89, No. 1, 341-369 (2022). MSC: 65N30 65N15 65N12 76S05 76M10 PDF BibTeX XML Cite \textit{D. Garg} and \textit{S. Ganesan}, Numer. Algorithms 89, No. 1, 341--369 (2022; Zbl 1480.65333) Full Text: DOI
Fang, Huangcheng; Zhang, Dingli; Fang, Qian; Cao, Liqiang; Wen, Ming An efficient patch-to-patch method for coupling independent finite element subdomains with intersecting interfaces. (English) Zbl 1507.74467 Comput. Methods Appl. Mech. Eng. 388, Article ID 114209, 19 p. (2022). MSC: 74S05 65N30 74A50 PDF BibTeX XML Cite \textit{H. Fang} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114209, 19 p. (2022; Zbl 1507.74467) Full Text: DOI
Meng, Zhaoliang; Cui, Jintao; Luo, Zhongxuan Effect of numerical integration on a new rotated nonconforming quadrilateral element. (English) Zbl 1493.65222 J. Comput. Appl. Math. 402, Article ID 113798, 9 p. (2022). MSC: 65N30 65N15 65D30 PDF BibTeX XML Cite \textit{Z. Meng} et al., J. Comput. Appl. Math. 402, Article ID 113798, 9 p. (2022; Zbl 1493.65222) Full Text: DOI
Lin, Wan-Qing; Wang, Hui \(n\)-sided polygonal hybrid finite elements with unified fundamental solution kernels. (English) Zbl 1486.74022 Qin, Qing-Hua (ed.), Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers. 268-311 (2021). MSC: 74E10 74E30 74F05 74S05 65M60 PDF BibTeX XML Cite \textit{W.-Q. Lin} and \textit{H. Wang}, in: Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers. 268--311 (2021; Zbl 1486.74022) Full Text: DOI
Zhang, Bin; Liang, Chunlei A conservative high-order method utilizing dynamic transfinite mortar elements for flow simulations on curved nonconforming sliding meshes. (English) Zbl 07515421 J. Comput. Phys. 443, Article ID 110522, 32 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{B. Zhang} and \textit{C. Liang}, J. Comput. Phys. 443, Article ID 110522, 32 p. (2021; Zbl 07515421) Full Text: DOI arXiv
Mittal, Ketan; Dutta, Som; Fischer, Paul Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids. (English) Zbl 07505918 J. Comput. Phys. 437, Article ID 110335, 21 p. (2021). MSC: 65Lxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{K. Mittal} et al., J. Comput. Phys. 437, Article ID 110335, 21 p. (2021; Zbl 07505918) Full Text: DOI arXiv
Majumder, Papri A convergence analysis of semi-discrete and fully-discrete nonconforming FEM for the parabolic obstacle problem. (English) Zbl 1480.65343 Int. J. Comput. Math. 98, No. 10, 1946-1973 (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{P. Majumder}, Int. J. Comput. Math. 98, No. 10, 1946--1973 (2021; Zbl 1480.65343) Full Text: DOI
Zhou, Xinchen; Meng, Zhaoliang; Fan, Xin; Luo, Zhongxuan Robust nonconforming polynomial finite elements over quadrilaterals. (English) Zbl 1480.65351 Int. J. Comput. Math. 98, No. 4, 758-782 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{X. Zhou} et al., Int. J. Comput. Math. 98, No. 4, 758--782 (2021; Zbl 1480.65351) Full Text: DOI
Jones, Derrick; Zhang, Xu A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces. (English) Zbl 1490.65200 Electron Res. Arch. 29, No. 5, 3171-3191 (2021). MSC: 65M60 35R05 65M12 65M15 PDF BibTeX XML Cite \textit{D. Jones} and \textit{X. Zhang}, Electron Res. Arch. 29, No. 5, 3171--3191 (2021; Zbl 1490.65200) Full Text: DOI
Song, Shicang; Lu, Lijuan A nonconforming scheme with piecewise quasi three degree polynomial space to solve biharmonic problem. (English) Zbl 1475.65202 J. Appl. Math. Comput. 66, No. 1-2, 581-597 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{S. Song} and \textit{L. Lu}, J. Appl. Math. Comput. 66, No. 1--2, 581--597 (2021; Zbl 1475.65202) Full Text: DOI
Carstensen, Carsten; Nataraj, Neela A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides. (English) Zbl 1476.65294 Comput. Methods Appl. Math. 21, No. 2, 289-315 (2021). MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, Comput. Methods Appl. Math. 21, No. 2, 289--315 (2021; Zbl 1476.65294) Full Text: DOI arXiv
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika Morley FEM for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1477.49041 Comput. Methods Appl. Math. 21, No. 1, 233-262 (2021). MSC: 49M05 49M25 65N15 65N30 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., Comput. Methods Appl. Math. 21, No. 1, 233--262 (2021; Zbl 1477.49041) Full Text: DOI
Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. Morley FEM for the fourth-order nonlinear reaction-diffusion problems. (English) Zbl 07411571 Comput. Math. Appl. 99, 229-245 (2021). MSC: 65M60 65N30 65N15 35J40 65N12 65M15 65M06 PDF BibTeX XML Cite \textit{P. Danumjaya} et al., Comput. Math. Appl. 99, 229--245 (2021; Zbl 07411571) Full Text: DOI
Huang, Jianguo; Yu, Yue Some estimates for \({H^1}\) nonconforming virtual element methods. (Chinese. English summary) Zbl 1488.65619 J. Nanjing Norm. Univ., Nat. Sci. Ed. 44, No. 2, 1-5 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Yu}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 44, No. 2, 1--5 (2021; Zbl 1488.65619) Full Text: DOI
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle Non-conforming finite elements on polytopal meshes. (English) Zbl 1470.76053 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 1-35 (2021). MSC: 76M10 PDF BibTeX XML Cite \textit{J. Droniou} et al., SEMA SIMAI Springer Ser. 27, 1--35 (2021; Zbl 1470.76053) Full Text: DOI arXiv
Chave, Florent Numerical study of the fracture diffusion-dispersion coefficient for passive transport in fractured porous media. (English) Zbl 1470.76011 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 255-263 (2021). MSC: 76-10 65N08 76S05 PDF BibTeX XML Cite \textit{F. Chave}, Lect. Notes Comput. Sci. Eng. 139, 255--263 (2021; Zbl 1470.76011) Full Text: DOI HAL
El Moutea, Omar; El Amri, Hassan Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media. (English) Zbl 1477.65210 Analysis, München 41, No. 3, 123-144 (2021). MSC: 65N30 76M10 76M12 76S05 76R50 PDF BibTeX XML Cite \textit{O. El Moutea} and \textit{H. El Amri}, Analysis, München 41, No. 3, 123--144 (2021; Zbl 1477.65210) Full Text: DOI
Liang, Conggang; Wang, Junjun Superconvergence analysis of nonconforming \(EQ_1^{rot}\) element for nonlinear parabolic integro-differential equation. (English) Zbl 1473.65308 Math. Methods Appl. Sci. 44, No. 14, 11684-11701 (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{C. Liang} and \textit{J. Wang}, Math. Methods Appl. Sci. 44, No. 14, 11684--11701 (2021; Zbl 1473.65308) Full Text: DOI
Zhang, Xuqing; Yang, Yidu; Zhang, Yu A locking-free shifted inverse iteration based on multigrid discretization for the elastic eigenvalue problem. (English) Zbl 1473.65285 Math. Methods Appl. Sci. 44, No. 7, 5821-5838 (2021). MSC: 65N25 65N21 65N30 65N55 PDF BibTeX XML Cite \textit{X. Zhang} et al., Math. Methods Appl. Sci. 44, No. 7, 5821--5838 (2021; Zbl 1473.65285) Full Text: DOI
Zhou, Xinchen; Meng, Zhaoliang; Su, Jing Low-order nonconforming brick elements for the 3D Brinkman model. (English) Zbl 07384090 Comput. Math. Appl. 98, 201-217 (2021). MSC: 65N30 76M10 65N12 76D07 76S05 PDF BibTeX XML Cite \textit{X. Zhou} et al., Comput. Math. Appl. 98, 201--217 (2021; Zbl 07384090) Full Text: DOI
Kawecki, Ellya L.; Smears, Iain Unified analysis of discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 1477.65225 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 449-478 (2021). MSC: 65N30 65N15 65N12 35F21 35D35 35B65 49J30 35Q53 PDF BibTeX XML Cite \textit{E. L. Kawecki} and \textit{I. Smears}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 449--478 (2021; Zbl 1477.65225) Full Text: DOI arXiv
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. (English) Zbl 1478.65116 J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021). MSC: 65N30 65N50 65N15 35J25 PDF BibTeX XML Cite \textit{Z. Cai} et al., J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021; Zbl 1478.65116) Full Text: DOI arXiv
Yang, Huaijun; Shi, Dongyang; Liu, Qian Superconvergence analysis of low order nonconforming mixed finite element methods for time-dependent Navier-Stokes equations. (English) Zbl 1474.65373 J. Comput. Math. 39, No. 1, 63-80 (2021). MSC: 65M60 65M12 65N30 65N12 35Q30 65D05 76D05 PDF BibTeX XML Cite \textit{H. Yang} et al., J. Comput. Math. 39, No. 1, 63--80 (2021; Zbl 1474.65373) Full Text: DOI
Liu, Xin; Nie, Yufeng A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations. (English) Zbl 1476.65306 Appl. Numer. Math. 167, 375-388 (2021). MSC: 65N30 65N12 76D05 76M10 35Q30 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Y. Nie}, Appl. Numer. Math. 167, 375--388 (2021; Zbl 1476.65306) Full Text: DOI
Shi, Dongwei; Wang, Caixia Convergence analysis of Carey nonconforming finite element for the second-order elliptic problem with the lowest regularity. (English. Russian original) Zbl 1462.65199 Russ. Phys. J. 64, No. 2, 246-254 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 2, 50-56 (2021). MSC: 65N30 65N12 35J15 PDF BibTeX XML Cite \textit{D. Shi} and \textit{C. Wang}, Russ. Phys. J. 64, No. 2, 246--254 (2021; Zbl 1462.65199); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 2, 50--56 (2021) Full Text: DOI
Qian, Liu; Dongyang, Shi Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations. (English) Zbl 1468.65150 Comput. Appl. Math. 40, No. 1, Paper No. 3, 17 p. (2021). MSC: 65M60 65M06 65M12 76D05 35Q30 PDF BibTeX XML Cite \textit{L. Qian} and \textit{S. Dongyang}, Comput. Appl. Math. 40, No. 1, Paper No. 3, 17 p. (2021; Zbl 1468.65150) Full Text: DOI