Zhao, Zexiong; Huang, Chengming; Ma, Zheng Discontinuous Galerkin methods for third-kind Volterra integral equations with non-smooth kernels and their postprocessing techniques. (English) Zbl 07969187 J. Sci. Comput. 102, No. 2, Paper No. 42, 25 p. (2025). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
He, Wenming; Wu, Jiming; Zhang, Zhimin A novel post-processed finite element method and its convergence for partial differential equations. (English) Zbl 07958856 J. Comput. Appl. Math. 457, Article ID 116319, 10 p. (2025). MSC: 65N55 65N50 65N30 65D05 65N12 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhe; Tu, Qunying; Yi, Lijun A superconvergent postprocessing technique for the continuous Galerkin method in solving delay differential equations with nonlinear vanishing delay. (English) Zbl 07942371 Comput. Appl. Math. 43, No. 8, Paper No. 447, 22 p. (2024). MSC: 65L60 65L05 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Tu, Qunying; Li, Zhe; Yi, Lijun Postprocessing technique of the discontinuous Galerkin method for solving delay differential equations. (English) Zbl 1545.65281 J. Appl. Math. Comput. 70, No. 4, 3603-3630 (2024). MSC: 65L03 65L60 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Nuodi; Chen, Yanping; Huang, Yunqing Two-grid methods for Maxwell’s equations in a Cole-Cole dispersive medium. (English) Zbl 07878413 East Asian J. Appl. Math. 14, No. 2, 371-396 (2024). MSC: 65-XX 35Q61 35R11 65N30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Zha, Yuanyuan; Li, Zhe; Yi, Lijun Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038 Appl. Numer. Math. 193, 67-82 (2023). MSC: 65L60 65L10 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Yi, Lijun; Zhang, Mingzhu; Mao, Xinyu Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. (English) Zbl 1524.65989 J. Comput. Appl. Math. 427, Article ID 115140, 20 p. (2023). MSC: 65R20 45D05 45J05 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. (English) Zbl 1514.65096 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 671-691 (2023). MSC: 65L60 65R20 45D05 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Mingzhu; Yi, Lijun Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. (English) Zbl 1517.65060 J. Sci. Comput. 94, No. 2, Paper No. 31, 41 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65L05 65L60 65L70 65M20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Ming; Li, Yanfei; Yao, Changhui Unconditional superconvergence analysis of energy conserving finite element methods for the nonlinear coupled Klein-Gordon equations. (English) Zbl 1524.65523 Adv. Appl. Math. Mech. 15, No. 3, 602-622 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yuwen Recovery-based a posteriori error analysis for plate bending problems. (English) Zbl 1490.65281 J. Sci. Comput. 88, No. 3, Paper No. 77, 26 p. (2021). MSC: 65N30 65N15 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becher, Simon; Matthies, Gunar Variational time discretizations of higher order and higher regularity. (English) Zbl 1472.65082 BIT 61, No. 3, 721-755 (2021). MSC: 65L05 65L20 65L60 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shang, Yueqiang; Zhang, Qihui A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 1471.65153 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3119-3142 (2021). MSC: 65M60 35Q30 76D05 65M06 65N30 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yanhui; Wu, Jiming High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions. (English) Zbl 1524.65887 Comput. Math. Appl. 92, 1-12 (2021). MSC: 65N30 65N15 35J25 65N08 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Ibdah, Hussain A.; Mondaini, Cecilia F.; Titi, Edriss S. Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates. (English) Zbl 1466.65154 IMA J. Numer. Anal. 40, No. 4, 2584-2625 (2020). MSC: 65M70 65M60 65M06 65M12 65M15 93B52 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kim, Dohyun; Zhao, Lina; Park, Eun-Jae Staggered DG methods for the pseudostress-velocity formulation of the Stokes equations on general meshes. (English) Zbl 1452.65344 SIAM J. Sci. Comput. 42, No. 4, A2537-A2560 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Munar, Mauricio; Sequeira, Filánder A. A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow. (English) Zbl 1447.65157 Comput. Math. Appl. 80, No. 5, 1240-1259 (2020). MSC: 65N30 65N15 76S05 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Lina; Park, Eun-Jae; Shin, Dong-wook A staggered DG method of minimal dimension for the Stokes equations on general meshes. (English) Zbl 1440.76092 Comput. Methods Appl. Mech. Eng. 345, 854-875 (2019). MSC: 76M10 65N30 65N15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gang; Cockburn, Bernardo; Singler, John; Zhang, Yangwen Superconvergent interpolatory HDG methods for reaction diffusion equations. I: An \(HDG_k\) method. (English) Zbl 1461.76345 J. Sci. Comput. 81, No. 3, 2188-2212 (2019). MSC: 76M10 76R99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Führer, Thomas Superconvergent DPG methods for second-order elliptic problems. (English) Zbl 1420.65121 Comput. Methods Appl. Math. 19, No. 3, 483-502 (2019). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Jianguo; Huang, Xuehai A hybridizable discontinuous Galerkin method for Kirchhoff plates. (English) Zbl 1412.65217 J. Sci. Comput. 78, No. 1, 290-320 (2019). MSC: 65N30 74K20 65N12 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. A mixed virtual element method for a pseudostress-based formulation of linear elasticity. (English) Zbl 1507.65234 Appl. Numer. Math. 135, 423-442 (2019). MSC: 65N30 65N15 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Kwang-Yeon Postprocessing for the Raviart-Thomas mixed finite element approximation of the eigenvalue problem. (English) Zbl 1427.65346 Korean J. Math. 26, No. 3, 467-481 (2018). MSC: 65N25 65N30 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Pratibhamoy A higher order difference method for singularly perturbed parabolic partial differential equations. (English) Zbl 1427.65156 J. Difference Equ. Appl. 24, No. 3, 452-477 (2018). MSC: 65M06 35B25 35K20 35K51 65M12 65M50 × Cite Format Result Cite Review PDF Full Text: DOI
Černá, Dana Postprocessing Galerkin method using quadratic spline wavelets and its efficiency. (English) Zbl 1409.65089 Comput. Math. Appl. 75, No. 9, 3186-3200 (2018). MSC: 65N30 65T60 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Führer, Thomas Superconvergence in a DPG method for an ultra-weak formulation. (English) Zbl 1409.65091 Comput. Math. Appl. 75, No. 5, 1705-1718 (2018). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filánder A. A mixed virtual element method for a nonlinear Brinkman model of porous media flow. (English) Zbl 1391.76330 Calcolo 55, No. 2, Paper No. 21, 36 p. (2018). MSC: 76M10 76S05 65N30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gang; Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo An HDG method for distributed control of convection diffusion PDEs. (English) Zbl 1448.65222 J. Comput. Appl. Math. 343, 643-661 (2018). MSC: 65N30 49M25 65N12 65N15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mondaini, Cecilia F.; Titi, Edriss S. Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm. (English) Zbl 1384.35067 SIAM J. Numer. Anal. 56, No. 1, 78-110 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76B75 37L65 65M15 65M60 65M70 93C20 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Minbashian, Hadi; Adibi, Hojatolah; Dehghan, Mehdi An adaptive wavelet space-time SUPG method for hyperbolic conservation laws. (English) Zbl 1383.65126 Numer. Methods Partial Differ. Equations 33, No. 6, 2062-2089 (2017). MSC: 65M60 35L65 65T60 35L67 65M12 35L05 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Qingsong; Guo, Li; Deng, Quanling High order continuous local-conserving fluxes and finite-volume-like finite element solutions for elliptic equations. (English) Zbl 1377.65154 SIAM J. Numer. Anal. 55, No. 6, 2666-2686 (2017). MSC: 65N30 35J25 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. A mixed virtual element method for the Brinkman problem. (English) Zbl 1432.65167 Math. Models Methods Appl. Sci. 27, No. 4, 707-743 (2017). MSC: 65N30 65N12 65N15 76M10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xuehai; Huang, Jianguo A superconvergent \(C^0\) discontinuous Galerkin method for Kirchhoff plates: error estimates, hybridization and postprocessing. (English) Zbl 1397.74188 J. Sci. Comput. 69, No. 3, 1251-1278 (2016). MSC: 74S05 65N30 65N12 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Yakovlev, Sergey; Moxey, David; Kirby, Robert M.; Sherwin, Spencer J. To CG or to HDG: a comparative study in 3D. (English) Zbl 1339.65225 J. Sci. Comput. 67, No. 1, 192-220 (2016). MSC: 65N30 65M60 35J05 65Y05 35K05 65N12 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Wansheng; Chen, Long; Zhou, Jie Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis. (English) Zbl 1341.65040 J. Sci. Comput. 67, No. 2, 724-746 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M15 65M20 35Q35 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Baccouch, Mahboub Recovery-based error estimator for the discontinuous Galerkin method for nonlinear scalar conservation laws in one space dimension. (English) Zbl 1344.65087 J. Sci. Comput. 66, No. 2, 459-476 (2016). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 65M15 65M60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1340.65205 Math. Numer. Sin. 37, No. 2, 162-178 (2015). MSC: 65M20 65M60 35Q55 65M12 65M15 × Cite Format Result Cite Review PDF
Xie, Hehu; Yin, Xiaobo Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. (English) Zbl 1330.76080 Adv. Comput. Math. 41, No. 4, 799-812 (2015). MSC: 76M10 65N30 65N12 65N25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial Optimal transport for particle image velocimetry: real data and postprocessing algorithms. (English) Zbl 1330.76111 SIAM J. Appl. Math. 75, No. 6, 2495-2514 (2015). MSC: 76M27 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cockburn, Bernardo; Mustapha, Kassem A hybridizable discontinuous Galerkin method for fractional diffusion problems. (English) Zbl 1329.26013 Numer. Math. 130, No. 2, 293-314 (2015). Reviewer: H. P. Dikshit (Bhopal) MSC: 26A33 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Tianliang; Chen, Yanping Superconvergence of fully discrete rectangular mixed finite element methods of parabolic control problems. (English) Zbl 1327.49049 J. Comput. Appl. Math. 286, 79-92 (2015). MSC: 49M25 49J20 49N10 49M15 65M60 65M25 × Cite Format Result Cite Review PDF Full Text: DOI
Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. Spectral approximations by the HDG method. (English) Zbl 1311.65137 Math. Comput. 84, No. 293, 1037-1059 (2015). MSC: 65N25 35J25 35P15 35P30 35J60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd Finite element error estimates on the boundary with application to optimal control. (English) Zbl 1307.65152 Math. Comput. 84, No. 291, 33-70 (2015). MSC: 65N15 65N30 65N50 65N12 35J25 49J20 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Franz, Sebastian; Roos, H.-G. Superconvergence of a Galerkin FEM for higher-order elements in convection-diffusion problems. (English) Zbl 1324.65137 Numer. Math., Theory Methods Appl. 7, No. 3, 356-373 (2014). MSC: 65N12 65N30 65N50 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andreev, Andrey; Racheva, Milena Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators. (English) Zbl 1340.65256 Appl. Math., Praha 59, No. 4, 371-390 (2014). MSC: 65N25 65N30 35P15 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bush, Lawrence; Ginting, Victor; Presho, Michael Application of a conservative, generalized multiscale finite element method to flow models. (English) Zbl 1293.76084 J. Comput. Appl. Math. 260, 395-409 (2014). MSC: 76M10 76Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Chunjia; Ginting, Victor Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems. (English) Zbl 1293.65147 J. Comput. Appl. Math. 260, 78-90 (2014). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Franz, Sebastian Superconvergence using pointwise interpolation in convection-diffusion problems. (English) Zbl 1288.65155 Appl. Numer. Math. 76, 132-144 (2014). MSC: 65N12 35J25 35B25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Bo; Khoo, B. C. Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow. (English) Zbl 1349.76075 J. Comput. Phys. 247, 262-278 (2013). MSC: 76D07 76M10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Tianliang Superconvergence and a posteriori error estimates of RT1 mixed methods for elliptic control problems with an integral constraint. (Russian, English) Zbl 1299.49035 Sib. Zh. Vychisl. Mat. 16, No. 2, 185-199 (2013); translation in Numer. Analysis Appl. 6, No. 2, 163-175 (2013). MSC: 49M25 49M15 49N10 65M25 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Bush, L.; Ginting, V. On the application of the continuous Galerkin finite element method for conservation problems. (English) Zbl 1286.65153 SIAM J. Sci. Comput. 35, No. 6, A2953-A2975 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 65N50 65N12 65Y05 76T99 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fenling; Zhao, Yanmin; Shi, Dongyang Quasi-Wilson nonconforming finite element analysis for telegraph equations. (Chinese. English summary) Zbl 1289.65230 J. Math., Wuhan Univ. 33, No. 2, 290-300 (2013). MSC: 65M60 35L20 65M12 65M20 65M15 × Cite Format Result Cite Review PDF
Kim, Hyea Hyun; Chung, Eric T.; Lee, Chak Shing A staggered discontinuous Galerkin method for the Stokes system. (English) Zbl 1282.76123 SIAM J. Numer. Anal. 51, No. 6, 3327-3350 (2013). MSC: 76M10 76D05 65M12 65M15 65M60 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongtao; Lin, Qun; Zhou, Junming; Wang, Hong Uniform error estimates for triangular finite element solutions of advection-diffusion equations. (English) Zbl 1312.65148 Adv. Comput. Math. 38, No. 1, 83-100 (2013). MSC: 65M15 35K15 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, TianLiang; Chen, YanPing Superconvergence of RT1 mixed finite element approximations for elliptic control problems. (English) Zbl 1260.49052 Sci. China, Math. 56, No. 2, 267-281 (2013). MSC: 49M25 49M15 49N10 65M25 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Mantič-Lugo, V.; Gray, L. J.; Mantič, V.; Graciani, E.; París, F. A Galerkin projection technique for the evaluation of potential derivatives on a smooth boundary in 2D BEM. (English) Zbl 1352.65591 Eng. Anal. Bound. Elem. 36, No. 10, 1502-1512 (2012). MSC: 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fenling; Shi, Dongwei; Shi, Dongyang Superconvergence analysis and extrapolation of the Wilson element solution for a quasi-linear Sobolev equation. (Chinese. English summary) Zbl 1289.65204 Chin. J. Eng. Math. 29, No. 5, 720-724 (2012). MSC: 65M12 65M60 65M15 65M20 35K59 × Cite Format Result Cite Review PDF
Cockburn, Bernardo; Zhang, Wujun A posteriori error estimates for HDG methods. (English) Zbl 1260.65099 J. Sci. Comput. 51, No. 3, 582-607 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Burdakov, Oleg; Kapyrin, Ivan; Vassilevski, Yuri Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. (English) Zbl 1242.65114 J. Comput. Phys. 231, No. 8, 3126-3142 (2012). MSC: 65K05 90C06 90C20 35K20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guo, Zhilin; Lu, Fengling Superconvergence analysis of the nonconforming finite element approximation to the generalized nerve conductive equations with varying coefficients. (Chinese. English summary) Zbl 1265.65170 J. Nat. Sci. Hunan Norm. Univ. 34, No. 6, 1-5 (2011). MSC: 65M12 65M60 65M20 65M15 35Q92 92C20 × Cite Format Result Cite Review PDF
Chen, Hongtao; Lin, Qun; Luo, Fusheng A uniform estimate for the characteristics bilinear element method for advection-diffusion equations. (Chinese. English summary) Zbl 1265.65178 Math. Pract. Theory 41, No. 20, 188-197 (2011). MSC: 65M15 65M25 65M60 35K20 65M12 × Cite Format Result Cite Review PDF
Chen, Hongtao; Lin, Qun; Zhou, Junming A uniform estimate for the characteristics triangular linear element method for advection-diffusion equations. (Chinese. English summary) Zbl 1265.65231 Math. Pract. Theory 41, No. 19, 173-184 (2011). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF
Könnö, Juho; Stenberg, Rolf \(H(\mathop{div})\)-conforming finite elements for the Brinkman problem. (English) Zbl 1331.76115 Math. Models Methods Appl. Sci. 21, No. 11, 2227-2248 (2011). MSC: 76S05 76D07 76M10 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qiumei; Xie, Hehu; Brunner, Hermann Superconvergence of discontinuous Galerkin solutions for delay differential equations of pantograph type. (English) Zbl 1232.65102 SIAM J. Sci. Comput. 33, No. 5, 2664-2684 (2011). MSC: 65L03 65L06 65L60 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. (English) Zbl 1230.78031 J. Comput. Phys. 230, No. 19, 7151-7175 (2011). MSC: 78M10 35Q61 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Quarteroni, Alfio; Ruiz-Baier, Ricardo Analysis of a finite volume element method for the Stokes problem. (English) Zbl 1230.65130 Numer. Math. 118, No. 4, 737-764 (2011). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N08 35Q30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Nguyen, N. C.; Peraire, J.; Cockburn, B. High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. (English) Zbl 1364.76093 J. Comput. Phys. 230, No. 10, 3695-3718 (2011). MSC: 76M10 74S05 76Q05 74J05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongtao; Jia, Shanghui; Xie, Hehu Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem. (English) Zbl 1209.65126 Appl. Numer. Math. 61, No. 4, 615-629 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N12 35P15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. Hybridization and postprocessing techniques for mixed eigenfunctions. (English) Zbl 1220.65159 SIAM J. Numer. Anal. 48, No. 3, 857-881 (2010). Reviewer: Pavel Burda (Praha) MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Stenberg, Rolf A nonstandard mixed finite element family. (English) Zbl 1189.65285 Numer. Math. 115, No. 1, 131-139 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qiumei; Zhang, Shuhua Superconvergence of interpolated collocation solutions for Hammerstein equations. (English) Zbl 1191.65178 Numer. Methods Partial Differ. Equations 26, No. 2, 290-304 (2010). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Yanren; Li, Kaitai Postprocessing Fourier Galerkin method for the Navier-Stokes equations. (English) Zbl 1406.65096 SIAM J. Numer. Anal. 47, No. 3, 1909-1922 (2009). MSC: 65M70 65M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Min; Bi, Chunjia; Liu, Jiangguo Postprocessing of a finite volume element method for semilinear parabolic problems. (English) Zbl 1176.65102 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 957 (2009). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M08 35K58 35K61 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Apel, Thomas; Winkler, Gunter Optimal control under reduced regularity. (English) Zbl 1171.65053 Appl. Numer. Math. 59, No. 9, 2050-2064 (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49N60 49J24 49N10 49J20 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Andreev, A. B.; Racheva, M. R. New approach of FEM for eigenvalue problems with non-local transition conditions. (English) Zbl 1233.65085 Margenov, Svetozar (ed.) et al., Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-00463-6/pbk). Lecture Notes in Computer Science 5434, 159-167 (2009). MSC: 65N30 35J25 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Shipeng; Shi, Zhongci High-accuracy analysis of two nonconforming plate elements. (English) Zbl 1155.74045 Numer. Math. 111, No. 3, 407-443 (2009). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Beirão da Veiga, Lourenço; Manzini, Gianmarco A higher-order formulation of the mimetic finite difference method. (English) Zbl 1185.65201 SIAM J. Sci. Comput. 31, No. 1, 732-760 (2008). MSC: 65N06 35J25 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Li, Zhiyan Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. (English) Zbl 1199.65317 Appl. Math., Ser. B (Engl. Ed.) 23, No. 4, 455-462 (2008). MSC: 65M20 65M60 65M12 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny Optimal convergence of the original DG method for the transport-reaction equation on special meshes. (English) Zbl 1168.65058 SIAM J. Numer. Anal. 46, No. 3, 1250-1265 (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N30 35J25 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Garbey, Marc; Picard, Christophe A multilevel method for solution verification. (English) Zbl 1139.65306 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 517-525 (2008). MSC: 65G20 65N30 35G30 65Y15 65N55 92C35 × Cite Format Result Cite Review PDF
Curtis, Sean; Kirby, Robert M.; Ryan, Jennifer K.; Shu, Chi-Wang Postprocessing for the discontinuous Galerkin method over nonuniform meshes. (English) Zbl 1166.65378 SIAM J. Sci. Comput. 30, No. 1, 272-289 (2007). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Wang, Caixia Superconvergence analysis of nonconforming mixed finite element method for Stokes problem. (Chinese. English summary) Zbl 1164.65482 Acta Math. Appl. Sin. 30, No. 6, 1056-1065 (2007). MSC: 65N12 65N30 65N15 35Q30 76D07 76M10 × Cite Format Result Cite Review PDF
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Wang, Haiying Locally conservative fluxes for the continuous Galerkin method. (English) Zbl 1155.65100 SIAM J. Numer. Anal. 45, No. 4, 1742-1776 (2007). Reviewer: Michael Jung (Dresden) MSC: 65N30 35J25 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cockburn, Bernardo; Ichikawa, Ryuhei Adjoint recovery of superconvergent linear functionals from Galerkin approximations. The one-dimensional case. (English) Zbl 1134.65052 J. Sci. Comput. 32, No. 2, 201-232 (2007). Reviewer: Roland Pulch (Wuppertal) MSC: 65L60 65L20 65L70 65L05 65L10 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Hehu; Gao, Shaoqin Superconvergence of the least-square mixed finite element approximations for the second order elliptic problems. (English) Zbl 1122.65099 Int. J. Inf. Syst. Sci. 3, No. 2, 277-282 (2007). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N12 65N30 35J25 × Cite Format Result Cite Review PDF
Min, M. S.; Kaber, S. M.; Don, W. S. Fourier-Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem. (English) Zbl 1122.41007 Math. Comput. 76, No. 259, 1275-1290 (2007). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A20 41A21 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Tobiska, Lutz Analysis of a new stabilized higher order finite element method for advection-diffusion equations. (English) Zbl 1120.76336 Comput. Methods Appl. Mech. Eng. 196, No. 1-3, 538-550 (2006). MSC: 76M10 76R99 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Yubin Postprocessing the finite element method for semilinear parabolic problems. (English) Zbl 1129.65070 SIAM J. Numer. Anal. 44, No. 4, 1681-1702 (2006). Reviewer: Etienne Emmrich (Berlin) MSC: 65M60 65M12 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Kolman, Karel A two-level method for nonsymmetric eigenvalue problems. (English) Zbl 1084.65109 Acta Math. Appl. Sin., Engl. Ser. 21, No. 1, 1-12 (2005). Reviewer: Song Jiang (Beijing) MSC: 65N25 65N15 65N30 65N55 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. (English) Zbl 1075.65136 J. Comput. Appl. Math. 182, No. 2, 333-349 (2005). Reviewer: Karel Najzar (Praha) MSC: 65N25 65N12 65N30 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Křížek, Michal Superconvergence phenomena on three-dimensional meshes. (English) Zbl 1071.65139 Int. J. Numer. Anal. Model. 2, No. 1, 43-56 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N12 65N30 35J05 × Cite Format Result Cite Review PDF
Ryan, Jennifer; Shu, Chi-Wang; Atkins, Harold Extension of a post processing technique for the discontinuous Galerkin method for hyperbolic equations with application to an aeroacoustic problem. (English) Zbl 1137.65414 SIAM J. Sci. Comput. 26, No. 3, 821-843 (2005). MSC: 65M60 76M10 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Dunca, Adrian; John, Volker; Layton, William Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. (English) Zbl 1146.76605 Appl. Numer. Math. 49, No. 2, 187-205 (2004). MSC: 76F65 65N15 65N50 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huoyuan; Liang, Guoping; Ma, Changfeng A hybrid-mixed finite element method for the Stokes problem. (Chinese. English summary) Zbl 1057.65083 Acta Math. Appl. Sin. 26, No. 3, 551-565 (2003). MSC: 65N30 35J25 76D07 35Q30 76M10 65N15 × Cite Format Result Cite Review PDF
Duan, Huo-Yuan; Liang, Guo-Ping Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. (English) Zbl 1054.74051 Comput. Methods Appl. Mech. Eng. 192, No. 49-50, 5265-5281 (2003). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Emmel, L.; Kaber, S. M.; Maday, Y. Padé–Jacobi filtering for spectral approximations of discontinuous solutions. (English) Zbl 1033.65089 Numer. Algorithms 33, No. 1-4, 251-264 (2003). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 76M22 35L65 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Racheva, M. R.; Andreev, A. B. Superconvergence postprocessing for eigenvalues. (English) Zbl 1012.65113 Comput. Methods Appl. Math. 2, No. 2, 171-185 (2002). Reviewer: Pavel Burda (Praha) MSC: 65N25 35P15 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI EMIS
Cao, Li-Qun; Cui, Jun-Zhi; Zhu, De-Chao Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains. (English) Zbl 1019.65085 SIAM J. Numer. Anal. 40, No. 2, 543-577 (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 35P15 35J05 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; Novo, Julia Postprocessing the linear finite element method. (English) Zbl 1022.65116 SIAM J. Numer. Anal. 40, No. 3, 805-819 (2002). Reviewer: Emil Minchev (Chiba) MSC: 65M60 35K55 35K57 65M12 65M15 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Andreev, A.; Racheva, M. Superconvergent FE postprocessing for eigenfunctions. (English) Zbl 1007.65087 C. R. Acad. Bulg. Sci. 55, No. 2, 17-22 (2002). Reviewer: Angela Slavova (Sofia) MSC: 65N25 65N12 65N30 35P15 × Cite Format Result Cite Review PDF