Zhang, Xuqing; Yang, Yidu; Bi, Hai Stabilized two-grid discretizations of locking free for the elasticity eigenvalue problem. (English) Zbl 1547.65171 J. Appl. Anal. Comput. 14, No. 4, 1831-1853 (2024). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Dond, Asha K.; Nataraj, Neela; Nayak, Subham Convergence of adaptive Crouzeix-Raviart and Morley FEM for distributed optimal control problems. (English) Zbl 1543.65185 Comput. Methods Appl. Math. 24, No. 3, 599-622 (2024). MSC: 65N30 65N15 49M25 49M05 × Cite Format Result Cite Review PDF Full Text: DOI
Nudo, Federico A general quadratic enrichment of the Crouzeix-Raviart finite element. (English) Zbl 07890942 J. Comput. Appl. Math. 451, Article ID 116112, 11 p. (2024). MSC: 65Nxx 65Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nudo, Federico Two one-parameter families of nonconforming enrichments of the Crouzeix-Raviart finite element. (English) Zbl 1543.65197 Appl. Numer. Math. 203, 160-172 (2024). MSC: 65N30 65N12 65N15 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chénier, Eric; Jamelot, Erell; Le Potier, Christophe; Peitavy, Andrew Improved Crouzeix-Raviart scheme for the Stokes problem. (English) Zbl 1529.65033 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, 245-253 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N08 65M60 65N30 76D05 76D07 76M10 76M12 35Q35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. (English) Zbl 1460.65145 IMA J. Numer. Anal. 41, No. 1, 164-205 (2021). MSC: 65N30 65N15 65N12 31A30 35J61 65J08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Yue; Jin, Chang Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. (English) Zbl 1463.65376 Numer. Math., Theory Methods Appl. 13, No. 2, 400-432 (2020). MSC: 65N30 65N15 49J20 31A30 49M41 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yidan; Huang, Yunqing; Yi, Nianyu Superconvergence of the Crouzeix-Raviart element for elliptic equation. (English) Zbl 1435.65215 Adv. Comput. Math. 45, No. 5-6, 2833-2844 (2019). MSC: 65N30 65N15 35J15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Verfürth, Rüdiger; Zanotti, Pietro A quasi-optimal Crouzeix-Raviart discretization of the Stokes equations. (English) Zbl 1422.65416 SIAM J. Numer. Anal. 57, No. 3, 1082-1099 (2019). MSC: 65N30 65N15 65J10 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Veeser, Andreas; Zanotti, Pietro Quasi-optimal nonconforming methods for symmetric elliptic problems. II: – Overconsistency and classical nonconforming elements. (English) Zbl 1414.65037 SIAM J. Numer. Anal. 57, No. 1, 266-292 (2019). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yanqiu A nonconforming Crouzeix-Raviart type finite element on polygonal meshes. (English) Zbl 1403.65144 Math. Comput. 88, No. 315, 237-271 (2019). Reviewer: Jichun Li (Las Vegas) MSC: 65N30 65N15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Bi, Hai; Yang, Yidu; Yu, Yuanyuan; Han, Jiayu New error estimates for linear triangle finite elements in the Steklov eigenvalue problem. (English) Zbl 1424.65216 J. Comput. Math. 36, No. 5, 682-692 (2018). MSC: 65N25 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ern, Alexandre; Guermond, Jean-Luc Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. (English) Zbl 1401.65132 Comput. Methods Appl. Math. 18, No. 3, 451-475 (2018). MSC: 65N30 65N12 76R50 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Rui, Hongxing; Zhang, Jingyuan A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport. (English) Zbl 1439.76091 Comput. Methods Appl. Mech. Eng. 315, 169-189 (2017). MSC: 76M10 65M60 65M12 65M15 76D07 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yingyu; Chen, Qinghua The adaptive Crouzeix-Raviart element method for convection-diffusion eigenvalue problems. (English) Zbl 1378.65174 Int. J. Numer. Methods Appl. 16, No. 1, 27-50 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N30 65N15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachar, Mostafa; Guessab, Allal A simple necessary and sufficient condition for the enrichment of the Crouzeix-Raviart element. (English) Zbl 1474.65434 Appl. Anal. Discrete Math. 10, No. 2, 378-393 (2016). MSC: 65N30 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Bringmann, P.; Carstensen, C.; Merdon, C. Guaranteed velocity error control for the pseudostress approximation of the Stokes equations. (English) Zbl 1401.76083 Numer. Methods Partial Differ. Equations 32, No. 5, 1411-1432 (2016). MSC: 76M10 65N30 65D07 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Binjie; Xie, Xiaoping BPX preconditioner for nonstandard finite element methods for diffusion problems. (English) Zbl 1337.65026 SIAM J. Numer. Anal. 54, No. 2, 1147-1168 (2016). MSC: 65F08 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achchab, Boujemâa; Bouihat, Khalid; Guessab, Allal; Schmeisser, Gerhard A general approach to the construction of nonconforming finite elements on convex polytopes. (English) Zbl 1410.65439 Appl. Math. Comput. 268, 916-923 (2015). MSC: 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Hailong; Zhang, Zhimin Gradient recovery for the Crouzeix-Raviart element. (English) Zbl 1325.65153 J. Sci. Comput. 64, No. 2, 456-476 (2015). MSC: 65N30 65N12 65N15 35J05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Rabus, Hella Quasi-optimal convergence of AFEM based on separate marking. I. (English) Zbl 1330.65162 J. Numer. Math. 23, No. 2, 137-156 (2015). MSC: 65N12 65N15 65N30 65N50 65Y20 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, C.; Liu, D. J. Nonconforming FEMs for an optimal design problem. (English) Zbl 1312.74036 SIAM J. Numer. Anal. 53, No. 2, 874-894 (2015). MSC: 74S05 65N30 65N12 65Y20 74P15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Creusé, E.; Farhloul, M.; Nicaise, S.; Paquet, L. A posteriori error estimates of the stabilized Crouzeix-Raviart finite element method for the Lamé-Navier equations. (English) Zbl 1312.65188 Far East J. Math. Sci. (FJMS) 96, No. 2, 167-192 (2015). MSC: 65N30 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI Link HAL
Brenner, Susanne C. Forty years of the Crouzeix-Raviart element. (English) Zbl 1310.65142 Numer. Methods Partial Differ. Equations 31, No. 2, 367-396 (2015). MSC: 65N30 65-03 01A60 01A61 × Cite Format Result Cite Review PDF Full Text: DOI
Lamichhane, Bishnu P. A nonconforming finite element method for the Stokes equations using the Crouzeix-Raviart element for the velocity and the standard linear element for the pressure. (English) Zbl 1455.76127 Int. J. Numer. Methods Fluids 74, No. 3, 222-228 (2014). MSC: 76M20 65N30 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcinkowski, Leszek; Rahman, Talal A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element. (English) Zbl 1382.65413 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 697-705 (2014). MSC: 65N30 35J25 65F08 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Youai New error estimates of nonconforming finite element methods for the Poisson problem with low regularity solution. (English) Zbl 1309.65127 Adv. Appl. Math. Mech. 6, No. 2, 179-190 (2014). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N15 65N30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Jun; Huang, Yunqing; Lin, Qun Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods. (English) Zbl 1335.65089 J. Sci. Comput. 61, No. 1, 196-221 (2014). MSC: 65N25 65N30 35J25 35P15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Jun; Huang, Yunqing; Shen, Quan The lower/upper bound property of approximate eigenvalues by nonconforming finite element methods for elliptic operators. (English) Zbl 1301.65117 J. Sci. Comput. 58, No. 3, 574-591 (2014). MSC: 65N25 35P15 65N30 65N15 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Merdon, Christian Computational survey on a posteriori error estimators for the Crouzeix-Raviart nonconforming finite element method for the Stokes problem. (English) Zbl 1285.65072 Comput. Methods Appl. Math. 14, No. 1, 35-54 (2014). MSC: 65N15 35Q30 76D07 76M10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Peiqi; Chen, Jinru Some low order nonconforming mixed finite elements combined with Raviart-Thomas elements for a coupled Stokes-Darcy model. (English) Zbl 1291.76311 Japan J. Ind. Appl. Math. 30, No. 3, 565-584 (2013). MSC: 76S05 65N30 76M10 65N12 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, C.; Merdon, C. Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. (English) Zbl 1285.65079 J. Comput. Appl. Math. 249, 74-94 (2013). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yadong; Shi, Dongyang Convergence analysis of a new nonconforming mixed finite element for parabolic equations on anisotropic mesh. (Chinese. English summary) Zbl 1299.65240 Math. Numer. Sin. 35, No. 2, 171-180 (2013). MSC: 65M60 35K20 65M12 65M15 65M50 × Cite Format Result Cite Review PDF
Wang, Lin; Shi, Dongwei; Shi, Dongyang A lumped mass nonconforming finite element analysis for a class of nonlinear parabolic equations. (Chinese. English summary) Zbl 1289.65232 Math. Pract. Theory 43, No. 2, 238-245 (2013). MSC: 65M60 35K55 65M15 × Cite Format Result Cite Review PDF
Chen, Gang; Feng, Minfu A new absolutely stable simplified Galerkin least-squares finite element method using nonconforming element for the Stokes problem. (English) Zbl 1282.76117 Appl. Math. Comput. 219, No. 10, 5356-5366 (2013). MSC: 76M10 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, C.; Merdon, C.; Neumann, Johannes Aspects of guaranteed error control in CPDEs. (English) Zbl 1275.65075 Iliev, Oleg P. (ed.) et al., Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-7171-4/hbk; 978-1-4614-7172-1/ebook). Springer Proceedings in Mathematics & Statistics 45, 103-119 (2013). MSC: 65N15 65N30 35J25 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dong-yang; Pei, Li-fang Superconvergence of nonconforming finite element penalty scheme for Stokes problem using \(L^2\) projection method. (English) Zbl 1269.65128 Appl. Math. Mech., Engl. Ed. 34, No. 7, 861-874 (2013). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Ern, Alexandre; Vohralík, Martin Four closely related equilibrated flux reconstructions for nonconforming finite elements. (English. French summary) Zbl 1261.65117 C. R., Math., Acad. Sci. Paris 351, No. 1-2, 77-80 (2013). MSC: 65N30 35J05 65N50 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Marcinkowski, Leszek; Rahman, Talal A FETI-DP method for Crouzeix-Raviart finite element discretizations. (English) Zbl 1284.65182 Comput. Methods Appl. Math. 12, No. 1, 73-91 (2012). MSC: 65N55 65N30 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Wang, Lele A new nonconforming mixed finite element scheme for nonlinear Sobolev equations. (Chinese. English summary) Zbl 1289.65261 J. Zhengzhou Univ., Nat. Sci. Ed. 44, No. 4, 1-5 (2012). MSC: 65N30 65N15 65N12 35J66 × Cite Format Result Cite Review PDF
Luo, FuSheng; Lin, Qun; Xie, HeHu Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods. (English) Zbl 1261.65112 Sci. China, Math. 55, No. 5, 1069-1082 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N25 65N30 65N15 35P15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altmann, Robert; Carstensen, Carsten P\(_1\)-nonconforming finite elements on triangulations into triangles and quadrilaterals. (English) Zbl 1251.65156 SIAM J. Numer. Anal. 50, No. 2, 418-438 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J25 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Xiaorong; Feng, Minfu A nonconforming local projection stabilized method for the non-stationary convection diffusion problem. (Chinese. English summary) Zbl 1249.65194 Math. Numer. Sin. 33, No. 3, 275-288 (2011). MSC: 65M60 35K20 65M06 65M12 65M15 × Cite Format Result Cite Review PDF
Shi, Dongyang; Ren, Jincheng; Gong, Wei A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations. (English) Zbl 1240.76019 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 2, 367-382 (2011). MSC: 76M10 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Roland; Mao, Shipeng Quasi-optimality of adaptive nonconforming finite element methods for the Stokes equations. (English) Zbl 1229.65205 SIAM J. Numer. Anal. 49, No. 3, 970-991 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 65N50 35J25 35Q30 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Bi, Hai; Yang, Yidu A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem. (English) Zbl 1222.65121 Appl. Math. Comput. 217, No. 23, 9669-9678 (2011). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N25 65N30 35P15 65N55 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huo-Yuan; Tan, Roger C. E. On the Poincaré-Friedrichs inequality for piecewise \(H^{1}\) functions in anisotropic discontinuous Galerkin finite element methods. (English) Zbl 1208.26023 Math. Comput. 80, No. 273, 119-140 (2011). MSC: 26D10 46E35 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Huang, Kun; Yang, Guozeng Lumped mass nonconforming finite element method for a kind of hyperbolic equation. (Chinese. English summary) Zbl 1240.65296 J. Henan Norm. Univ., Nat. Sci. 38, No. 3, 179-182 (2010). MSC: 65M60 35K20 65M15 65M50 65M12 × Cite Format Result Cite Review PDF
Shi, Dongyang; Wang, Huimin The lumped mass nonconforming finite element approximation for the nonstationary Navier-Stokes equations on anisotropic meshes. (Chinese. English summary) Zbl 1240.76020 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 4, 1018-1029 (2010). MSC: 76M10 65N30 65N15 × Cite Format Result Cite Review PDF
Bai, Yanhong; Feng, Minfu; Wang, Chuanlong On analysis of a nonconforming subgrid stabilized finite element method for viscous incompressible convection-dominated Oseen equations. (Chinese. English summary) Zbl 1240.76009 Numer. Math., Nanjing 32, No. 2, 140-149 (2010). MSC: 76M10 65N30 × Cite Format Result Cite Review PDF
Yang, Yidu; Lin, Fubiao; Zhang, Zhimin \(N\)-simplex Crouzeix-Raviart element for the second order elliptic/eigenvalue problems. (English) Zbl 1499.65637 Int. J. Numer. Anal. Model. 6, No. 4, 615-626 (2009). MSC: 65N25 65N30 35J15 65N12 × Cite Format Result Cite Review PDF Full Text: Link
Shi, Dongyang; Wang, Peizhen Crouzeix-Raviart anisotropic triangular finite element method for the integro-differential equations of Stokes type. (Chinese. English summary) Zbl 1212.65527 Appl. Math., Ser. A (Chin. Ed.) 24, No. 4, 435-442 (2009). MSC: 65R20 45K05 × Cite Format Result Cite Review PDF
Bai, Yanhong; Feng, Minfu; Kong, Hua Analysis of a nonconforming RFB stabilized method for the nonstationary convection-dominated diffusion equations. (Chinese. English summary) Zbl 1212.65370 Math. Numer. Sin. 31, No. 4, 363-378 (2009). MSC: 65M60 35K20 65M06 65M12 × Cite Format Result Cite Review PDF
Shi, Dongyang; Guan, Hongbo A nonconforming finite element method for hyperbolic equations with moving grid. (Chinese. English summary) Zbl 1199.65341 Pure Appl. Math. 25, No. 1, 26-33 (2009). MSC: 65M60 65M15 35L20 65M50 × Cite Format Result Cite Review PDF
Shi, Dongyang; Wang, Huimin; Li, Zhiyan A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes. (English) Zbl 1199.65423 Appl. Math., Ser. B (Engl. Ed.) 24, No. 1, 97-104 (2009). MSC: 65R20 45G10 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Braess, Dietrich An a posteriori error estimate and a comparison theorem for the nonconforming \(P_{1}\) element. (English) Zbl 1192.65142 Calcolo 46, No. 2, 149-155 (2009). MSC: 65N15 65N30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yidu; Li, Qin; Li, Sirui Nonconforming finite element approximations of the Steklov eigenvalue problem. (English) Zbl 1190.65168 Appl. Numer. Math. 59, No. 10, 2388-2401 (2009). Reviewer: Norikazu Saito (Tokyo) MSC: 65N25 65N30 65N15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Rahman, Talal; Xu, Xuejun A multilevel preconditioner for the mortar method for nonconforming \(P_{1}\) finite element. (English) Zbl 1203.65259 ESAIM, Math. Model. Numer. Anal. 43, No. 3, 429-444 (2009). Reviewer: M. Plum (Karlsruhe) MSC: 65N30 65F10 65N55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
El Alaoui, Linda An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations. (English) Zbl 1177.35113 Appl. Math. Lett. 22, No. 3, 291-296 (2009). MSC: 35K55 35A35 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Alonso, Ana; Dello Russo, Anahí Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods. (English) Zbl 1156.65094 J. Comput. Appl. Math. 223, No. 1, 177-197 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 65N25 65J10 47A10 35P15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Marcinkowski, L.; Rahman, T. Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems. (English) Zbl 1180.65164 BIT 48, No. 3, 607-626 (2008). Reviewer: I. N. Katz (St. Louis) MSC: 65N55 65N30 35J25 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Guan, Hongbo A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes. (English) Zbl 1181.65100 Hokkaido Math. J. 36, No. 4, 687-709 (2007). Reviewer: Yves Cherruault (Paris) MSC: 65K15 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Peng, Yusheng; Chen, Shaochun Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. (English) Zbl 1132.65085 Numer. Math., J. Chin. Univ. 15, No. 4, 375-384 (2006). MSC: 65M12 35L15 65M60 65M15 65M50 × Cite Format Result Cite Review PDF
Bahriawati, C.; Carstensen, C. Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. (English) Zbl 1086.65107 Comput. Methods Appl. Math. 5, No. 4, 333-361 (2005). Reviewer: Erwin Schechter (Moers) MSC: 65N30 65N15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Marcinkowski, Leszek Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements. (English) Zbl 1080.65118 BIT 45, No. 2, 375-394 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N55 65N30 35J25 65F10 65F35 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Funken, Stefan A. A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems. (English) Zbl 1014.76042 Math. Comput. 70, No. 236, 1353-1381 (2001). Reviewer: Evgenij D’yakonov (Moskva) MSC: 76M10 76D07 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Qing Ping; Xu, Xuejun; Shen, Shumin Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem. (English) Zbl 0978.76049 J. Comput. Math. 18, No. 2, 141-156 (2000). MSC: 76M10 76D05 65N15 × Cite Format Result Cite Review PDF
Marcinkowski, Leszek The mortar element method with locally nonconforming elements. (English) Zbl 0944.65115 BIT 39, No. 4, 716-739 (1999). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N15 65N30 65N55 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kanschat, Guido; Suttmeier, Franz-Theo A posteriori error estimates for nonconforming finite element schemes. (English) Zbl 0936.65128 Calcolo 36, No. 3, 129-141 (1999). MSC: 65N15 65N30 35J05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří On the discrete Friedrichs inequality for nonconforming finite elements. (English) Zbl 0938.65130 Numer. Funct. Anal. Optimization 20, No. 5-6, 437-447 (1999). Reviewer: J.Vaníček (Praha) MSC: 65N30 76M10 35J05 35Q30 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lieheng Nonconforming finite element approximations to the unilateral problem. (English) Zbl 0927.65129 J. Comput. Math. 17, No. 1, 15-24 (1999). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 35J05 65N12 65N15 × Cite Format Result Cite Review PDF
Schieweck, F.; Tobiska, L. An optimal order error estimate for an upwind discretization of the Navier-Stokes equations. (English) Zbl 0856.76037 Numer. Methods Partial Differ. Equations 12, No. 4, 407-421 (1996). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jinsheng; Hu, Xiancheng Overlapping domain decomposition method for nonselfadjoint elliptic problems discretized by Crouzeix-Raviart elements. (English. Chinese original) Zbl 0885.65128 Chin. J. Numer. Math. Appl. 17, No. 4, 34-42 (1995); translation from Math. Numer. Sin. 17, No. 3, 282-290 (1995). MSC: 65N55 65N30 35J25 65N12 65Y05 × Cite Format Result Cite Review PDF
Huang, Jianguo A domain decomposition method for nonconforming finite element – the case of strong overlap. (Chinese. English summary) Zbl 0860.65116 Math. Numer. Sin. 17, No. 1, 47-58 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 65N55 65N30 65N12 35J25 × Cite Format Result Cite Review PDF
Vassilevski, Panayot S.; Wang, Junping An application of the abstract multilevel theory to nonconforming finite element methods. (English) Zbl 0828.65125 SIAM J. Numer. Anal. 32, No. 1, 235-248 (1995). Reviewer: M.A.Ibiejugba (Ilorin) MSC: 65N30 65N55 65F10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jinsheng; Hu, Xiancheng Overlapping domain decomposition method for nonselfadjoint elliptic problems discretized by Crouzeix-Raviart elements. (Chinese. English summary) Zbl 0860.65118 Math. Numer. Sin. 17, No. 3, 282-290 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 65N55 65N30 35J25 65N12 65Y05 × Cite Format Result Cite Review PDF
Dorok, O.; Schieweck, F.; Tobiska, L. A multigrid method for solving the Boussinesq approximation of the Navier-Stokes equations. (English) Zbl 0846.76044 Hemker, P. W. (ed.) et al., Contributions to multigrid. A selection of contributions to the 4th European Multigrid Conference, held in Amsterdam, the Netherlands, July 6 - 9, 1993. Amsterdam: CWI. CWI Tracts. 103, 41-54 (1994). Reviewer: H.Jeggle (Berlin) MSC: 76M10 76D05 65N55 65N30 × Cite Format Result Cite Review PDF
Apanovich, V. N. The method of external finite element approximations. (Metod vneshnikh konechnoehlementnykh approksimatsij.) (Russian) Zbl 0818.65097 Minsk: Vyshehjshaya Shkola. 172 p. (1991). Reviewer: P.Burda (Praha) MSC: 65N30 65-02 65N12 65N15 74S05 35R05 35J25 × Cite Format Result Cite Review PDF
Reusken, Arnold Multigrid applied to mixed finite element schemes for current continuity equations. (English) Zbl 0776.65065 Multigrid methods III, Proc. 3rd Eur. Conf., Bonn/Ger. 1990, ISNM 98, 325-337 (1991). MSC: 65Z05 65N30 65N55 78A25 × Cite Format Result Cite Review PDF
Braess, Dietrich; Verfürth, R. Multigrid methods for nonconforming finite element methods. (English) Zbl 0703.65067 SIAM J. Numer. Anal. 27, No. 4, 979-986 (1990). Reviewer: M.Jung MSC: 65N30 65N55 65N12 35J05 35Q30 65F10 × Cite Format Result Cite Review PDF Full Text: DOI Link