Schneider, Martin; Koch, Timo Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem. (English) Zbl 07820267 Comput. Methods Appl. Mech. Eng. 420, Article ID 116723, 19 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{M. Schneider} and \textit{T. Koch}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116723, 19 p. (2024; Zbl 07820267) Full Text: DOI arXiv
Wang, Gang; Wang, Ying Least-squares virtual element method for Stokes problems on polygonal meshes. (English) Zbl 07794701 J. Sci. Comput. 98, No. 2, Paper No. 46, 27 p. (2024). MSC: 65N30 65K10 65N50 65N15 76D07 76M10 35B45 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Y. Wang}, J. Sci. Comput. 98, No. 2, Paper No. 46, 27 p. (2024; Zbl 07794701) Full Text: DOI
Aguayo, Jorge; Bertoglio, Cristóbal; Osses, Axel Distributed parameter identification for the Navier-Stokes equations for obstacle detection. (English) Zbl 07780888 Inverse Probl. 40, No. 1, Article ID 015012, 33 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 76M21 76D05 35Q30 35R30 PDFBibTeX XMLCite \textit{J. Aguayo} et al., Inverse Probl. 40, No. 1, Article ID 015012, 33 p. (2024; Zbl 07780888) Full Text: DOI OA License
Hauke, Guillermo; Irisarri, Diego A review of VMS a posteriori error estimation with emphasis in fluid mechanics. (English) Zbl 07788092 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116341, 36 p. (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{G. Hauke} and \textit{D. Irisarri}, Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116341, 36 p. (2023; Zbl 07788092) Full Text: DOI
Choi, Hyung Jun An error analysis of the finite element method of the Stokes equations with parameter based on the singular function expansion. (English) Zbl 07779731 Numer. Methods Partial Differ. Equations 39, No. 1, 795-820 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{H. J. Choi}, Numer. Methods Partial Differ. Equations 39, No. 1, 795--820 (2023; Zbl 07779731) Full Text: DOI
Li, Yanwei; Wang, Qiming; Zhou, Zhaojie Adaptive virtual element method for optimal control problem governed by Stokes equations. (English) Zbl 1527.65129 J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023). MSC: 65N30 65N15 76D07 76D55 49K20 49M41 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023; Zbl 1527.65129) Full Text: DOI
Zhang, Yongchao; Mei, Liquan; Wang, Gang A posteriori error analysis of the hybrid high-order method for the Stokes problem. (English) Zbl 07722594 J. Sci. Comput. 96, No. 3, Paper No. 74, 31 p. (2023). MSC: 65Nxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Sci. Comput. 96, No. 3, Paper No. 74, 31 p. (2023; Zbl 07722594) Full Text: DOI arXiv
Qi, Wenya; Seshaiyer, Padmanabhan; Wang, Junping Generalized weak Galerkin methods for Stokes equations. (English) Zbl 07674301 Comput. Math. Appl. 134, 181-193 (2023). MSC: 65N30 35Q30 65N15 76D07 PDFBibTeX XMLCite \textit{W. Qi} et al., Comput. Math. Appl. 134, 181--193 (2023; Zbl 07674301) Full Text: DOI arXiv
Zhang, Xuqing; Han, Jiayu; Yang, Yidu An adaptive finite element method for the elastic transmission eigenvalue problem. (English) Zbl 1501.65098 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1367-1392 (2023). MSC: 65N25 65N30 65N50 65N15 74J20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1367--1392 (2023; Zbl 1501.65098) Full Text: DOI
Lederer, Philip L.; Merdon, Christian Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. (English) Zbl 1527.76033 J. Numer. Math. 30, No. 4, 267-294 (2022). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{P. L. Lederer} and \textit{C. Merdon}, J. Numer. Math. 30, No. 4, 267--294 (2022; Zbl 1527.76033) Full Text: DOI arXiv
Hao, Tingting; Ma, Manman; Xu, Xuejun Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations. (English) Zbl 1492.65310 Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022). MSC: 65N30 65N15 65J15 35K61 PDFBibTeX XMLCite \textit{T. Hao} et al., Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022; Zbl 1492.65310) Full Text: DOI arXiv
Baier-Reinio, Aaron; Rhebergen, Sander; Wells, Garth N. Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity. (English) Zbl 1492.65300 J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022). MSC: 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{A. Baier-Reinio} et al., J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022; Zbl 1492.65300) Full Text: DOI arXiv
Girault, Vivette; González, María; Hecht, Frédéric A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem. (English) Zbl 1490.65273 J. Numer. Math. 30, No. 2, 85-108 (2022). MSC: 65N30 65N15 65N50 76D07 PDFBibTeX XMLCite \textit{V. Girault} et al., J. Numer. Math. 30, No. 2, 85--108 (2022; Zbl 1490.65273) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. The stationary Boussinesq problem under singular forcing. (English) Zbl 1473.35432 Math. Models Methods Appl. Sci. 31, No. 4, 789-827 (2021). MSC: 35Q35 35Q30 35R06 76Dxx 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{A. Allendes} et al., Math. Models Methods Appl. Sci. 31, No. 4, 789--827 (2021; Zbl 1473.35432) Full Text: DOI arXiv
Wang, Ying; Wang, Gang; Wang, Feng An adaptive virtual element method for incompressible flow. (English) Zbl 1491.76057 Comput. Math. Appl. 101, 63-73 (2021). MSC: 76M99 76D07 76D05 65N15 65N50 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 101, 63--73 (2021; Zbl 1491.76057) Full Text: DOI
Liu, Xuefeng; Nakao, Mitsuhiro T.; You, Chun’guang; Oishi, Shin’ichi Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations. (English) Zbl 1471.76046 Japan J. Ind. Appl. Math. 38, No. 2, 545-559 (2021). Reviewer: J. Manimaran (Ponda) MSC: 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{X. Liu} et al., Japan J. Ind. Appl. Math. 38, No. 2, 545--559 (2021; Zbl 1471.76046) Full Text: DOI arXiv
Lepe, Felipe; Otárola, Enrique; Quero, Daniel Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures. (English) Zbl 1471.35235 J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021). MSC: 35Q35 35Q30 35R06 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021; Zbl 1471.35235) Full Text: DOI
Fuica, Francisco; Lepe, Felipe; Otárola, Enrique; Quero, Daniel A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures. (English) Zbl 1524.65801 Comput. Math. Appl. 94, 47-59 (2021). MSC: 65N30 65N15 65N50 76D07 65N12 35Q35 76M10 35R06 PDFBibTeX XMLCite \textit{F. Fuica} et al., Comput. Math. Appl. 94, 47--59 (2021; Zbl 1524.65801) Full Text: DOI arXiv
Hao, Tingting; Guan, Xiaofei; Mao, Shipeng; Chen, Shaochun Computable interpolation error constants for the geometric simplex finite elements. (English) Zbl 1462.65188 J. Sci. Comput. 87, No. 1, Paper No. 35, 21 p. (2021). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{T. Hao} et al., J. Sci. Comput. 87, No. 1, Paper No. 35, 21 p. (2021; Zbl 1462.65188) Full Text: DOI
El Akkad, Abdeslam; Elkhalfi, Ahmed Analysis of estimators for Stokes problem using a mixed approximation. (English) Zbl 1474.05027 Bol. Soc. Parana. Mat. (3) 39, No. 6, 105-128 (2021). MSC: 05B05 05B25 20B25 PDFBibTeX XMLCite \textit{A. El Akkad} and \textit{A. Elkhalfi}, Bol. Soc. Parana. Mat. (3) 39, No. 6, 105--128 (2021; Zbl 1474.05027) Full Text: Link
Irisarri, Diego; Hauke, Guillermo A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations. (English) Zbl 1506.76082 Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021). MSC: 76M10 65N30 65N15 65N50 76D05 PDFBibTeX XMLCite \textit{D. Irisarri} and \textit{G. Hauke}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021; Zbl 1506.76082) Full Text: DOI
Xu, Shipeng A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes. (English) Zbl 1460.65150 Appl. Numer. Math. 161, 510-524 (2021). MSC: 65N30 65N15 35J15 76D07 31A30 65N85 PDFBibTeX XMLCite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 1460.65150) Full Text: DOI
Wilfrid, Houédanou Koffi; Jamal, Adetola; Mohamed, Allaoui A posteriori error analysis for a new fully mixed isotropic discretization of the stationary Stokes-Darcy coupled problem. (English) Zbl 1474.76042 Abstr. Appl. Anal. 2020, Article ID 8628739, 12 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 76S05 PDFBibTeX XMLCite \textit{H. K. Wilfrid} et al., Abstr. Appl. Anal. 2020, Article ID 8628739, 12 p. (2020; Zbl 1474.76042) Full Text: DOI
Durán, Ricardo; Gastaldi, Lucia; Lombardi, Ariel Analysis of finite element approximations of Stokes equations with nonsmooth data. (English) Zbl 1452.65334 SIAM J. Numer. Anal. 58, No. 6, 3309-3331 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 76D07 35B65 35R11 26A33 PDFBibTeX XMLCite \textit{R. Durán} et al., SIAM J. Numer. Anal. 58, No. 6, 3309--3331 (2020; Zbl 1452.65334) Full Text: DOI arXiv
Adetola, Jamal; Houedanou, Koffi Wilfrid; Ahounou, Bernardin Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Ampère equation. (English) Zbl 1463.74104 Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020). MSC: 74S05 74S10 74S15 74S20 74S25 PDFBibTeX XMLCite \textit{J. Adetola} et al., Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020; Zbl 1463.74104) Full Text: arXiv Link
Wang, Gang; Wang, Ying; He, Yinnian A posteriori error estimates for the virtual element method for the Stokes problem. (English) Zbl 1448.76122 J. Sci. Comput. 84, No. 2, Paper No. 37, 25 p. (2020). MSC: 76M99 76D07 65N15 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Sci. Comput. 84, No. 2, Paper No. 37, 25 p. (2020; Zbl 1448.76122) Full Text: DOI
Kim, Kwang-Yeon; Park, Ju-Seong Asymptotic exactness of some Bank-Weiser error estimator for quadratic triangular finite element. (English) Zbl 1445.65044 Bull. Korean Math. Soc. 57, No. 2, 393-406 (2020). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{K.-Y. Kim} and \textit{J.-S. Park}, Bull. Korean Math. Soc. 57, No. 2, 393--406 (2020; Zbl 1445.65044) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. (English) Zbl 1448.35384 SIAM J. Sci. Comput. 42, No. 3, A1860-A1884 (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 35Q30 35R06 76D05 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 42, No. 3, A1860--A1884 (2020; Zbl 1448.35384) Full Text: DOI arXiv
Pauly, D.; Repin, S. A posteriori estimates for the stationary Stokes problem in exterior domains. (English) Zbl 1437.35275 St. Petersbg. Math. J. 31, No. 3, 533-555 (2020) and Algebra Anal. 31, No. 3, 184-215 (2019). MSC: 35J57 65N15 76D07 PDFBibTeX XMLCite \textit{D. Pauly} and \textit{S. Repin}, St. Petersbg. Math. J. 31, No. 3, 533--555 (2020; Zbl 1437.35275) Full Text: DOI Link
Oyarzúa, Ricardo; Solano, Manuel; Zúñiga, Paulo A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. (English) Zbl 1441.76070 Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{R. Oyarzúa} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020; Zbl 1441.76070) Full Text: DOI
Rhebergen, Sander; Wells, Garth N. An embedded-hybridized discontinuous Galerkin finite element method for the Stokes equations. (English) Zbl 1441.76072 Comput. Methods Appl. Mech. Eng. 358, Article ID 112619, 18 p. (2020). MSC: 76M10 65N30 65F08 65M15 65N12 76D07 PDFBibTeX XMLCite \textit{S. Rhebergen} and \textit{G. N. Wells}, Comput. Methods Appl. Mech. Eng. 358, Article ID 112619, 18 p. (2020; Zbl 1441.76072) Full Text: DOI arXiv
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J. Stability of the Stokes projection on weighted spaces and applications. (English) Zbl 1437.35572 Math. Comput. 89, No. 324, 1581-1603 (2020). MSC: 35Q35 35Q30 35R06 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{R. G. Durán} et al., Math. Comput. 89, No. 324, 1581--1603 (2020; Zbl 1437.35572) Full Text: DOI arXiv
Huang, Pengzhan; Zhang, Qiuyu A recovery-based a posteriori error estimator for the generalized Stokes problem. (English) Zbl 07177870 Appl. Math., Praha 65, No. 1, 23-41 (2020). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{P. Huang} and \textit{Q. Zhang}, Appl. Math., Praha 65, No. 1, 23--41 (2020; Zbl 07177870) Full Text: DOI
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang An \(h-\) adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model. (English) Zbl 1434.65193 J. Sci. Comput. 82, No. 2, Paper No. 43, 26 p. (2020). MSC: 65M60 65M15 76S05 65M50 76M10 PDFBibTeX XMLCite \textit{L. Tian} et al., J. Sci. Comput. 82, No. 2, Paper No. 43, 26 p. (2020; Zbl 1434.65193) Full Text: DOI
Jing, Feifei; Han, Weimin; Zhang, Yongchao; Yan, Wenjing Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations. (English) Zbl 1440.65212 J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020). MSC: 65N30 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{F. Jing} et al., J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020; Zbl 1440.65212) Full Text: DOI
Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. (English) Zbl 1459.76088 J. Comput. Appl. Math. 363, 35-52 (2020). MSC: 76M12 76Z05 76D07 76M30 92C35 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Appl. Math. 363, 35--52 (2020; Zbl 1459.76088) Full Text: DOI
Fuica, Francisco; Otárola, Enrique; Salgado, Abner J. An a posteriori error analysis of an elliptic optimal control problem in measure space. (English) Zbl 1442.49034 Comput. Math. Appl. 77, No. 10, 2659-2675 (2019). MSC: 49M25 49K20 PDFBibTeX XMLCite \textit{F. Fuica} et al., Comput. Math. Appl. 77, No. 10, 2659--2675 (2019; Zbl 1442.49034) Full Text: DOI arXiv
Cioncolini, Andrea; Boffi, Daniele The MINI mixed finite element for the Stokes problem: an experimental investigation. (English) Zbl 1442.65353 Comput. Math. Appl. 77, No. 9, 2432-2446 (2019). MSC: 65N30 35Q35 76D07 76M10 PDFBibTeX XMLCite \textit{A. Cioncolini} and \textit{D. Boffi}, Comput. Math. Appl. 77, No. 9, 2432--2446 (2019; Zbl 1442.65353) Full Text: DOI arXiv
Li, Jian; Zheng, Haibiao; Zou, Qingsong A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis. (English) Zbl 1459.76080 Adv. Difference Equ. 2019, Paper No. 374, 20 p. (2019). MSC: 76M10 65N30 76D07 65N15 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Difference Equ. 2019, Paper No. 374, 20 p. (2019; Zbl 1459.76080) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the Stokes problem with singular sources. (English) Zbl 1440.65171 Comput. Methods Appl. Mech. Eng. 345, 1007-1032 (2019). MSC: 65N30 35Q30 35Q35 35R06 65N15 65N50 76Dxx PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 345, 1007--1032 (2019; Zbl 1440.65171) Full Text: DOI arXiv
Ghesmati, Arezou; Bangerth, Wolfgang; Turcksin, Bruno Residual-based a posteriori error estimation for \(hp\)-adaptive finite element methods for the Stokes equations. (English) Zbl 1435.65201 J. Numer. Math. 27, No. 4, 237-252 (2019). MSC: 65N30 65N15 76D07 65N50 PDFBibTeX XMLCite \textit{A. Ghesmati} et al., J. Numer. Math. 27, No. 4, 237--252 (2019; Zbl 1435.65201) Full Text: DOI arXiv
Ramière, Isabelle; Liu, Hao; Lebon, Frédéric Original geometrical stopping criteria associated to multilevel adaptive mesh refinement for problems with local singularities. (English) Zbl 1470.74076 Comput. Mech. 64, No. 3, 645-661 (2019). MSC: 74S99 74G70 74B99 PDFBibTeX XMLCite \textit{I. Ramière} et al., Comput. Mech. 64, No. 3, 645--661 (2019; Zbl 1470.74076) Full Text: DOI HAL
Lederer, Philip Lukas; Merdon, Christian; Schöberl, Joachim Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods. (English) Zbl 1419.65097 Numer. Math. 142, No. 3, 713-748 (2019). MSC: 65N15 65N30 76D07 76M10 PDFBibTeX XMLCite \textit{P. L. Lederer} et al., Numer. Math. 142, No. 3, 713--748 (2019; Zbl 1419.65097) Full Text: DOI arXiv
Bao, Feng; Mu, Lin; Wang, Jin A fully computable a posteriori error estimate for the Stokes equations on polytopal meshes. (English) Zbl 1502.65176 SIAM J. Numer. Anal. 57, No. 1, 458-477 (2019). MSC: 65N15 65N30 35J50 65N50 35Q35 PDFBibTeX XMLCite \textit{F. Bao} et al., SIAM J. Numer. Anal. 57, No. 1, 458--477 (2019; Zbl 1502.65176) Full Text: DOI
Zhao, Lina; Park, Eun-Jae Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations. (English) Zbl 1419.65129 Comput. Math. Appl. 75, No. 11, 4115-4134 (2018). MSC: 65N30 35Q35 65N15 76D07 65K10 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Math. Appl. 75, No. 11, 4115--4134 (2018; Zbl 1419.65129) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J. An a posteriori error analysis for an optimal control problem with point sources. (English) Zbl 1415.49002 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1617-1650 (2018). Reviewer: Andrzej Świerniak (Gliwice) MSC: 49J20 49N10 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1617--1650 (2018; Zbl 1415.49002) Full Text: DOI arXiv
Carstensen, Carsten; Puttkammer, Sophie A low-order discontinuous Petrov-Galerkin method for the Stokes equations. (English) Zbl 1401.65131 Numer. Math. 140, No. 1, 1-34 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. Puttkammer}, Numer. Math. 140, No. 1, 1--34 (2018; Zbl 1401.65131) Full Text: DOI
Bänsch, E.; Karakatsani, F.; Makridakis, C. G. A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem. (English) Zbl 1395.65057 Calcolo 55, No. 2, Paper No. 19, 32 p. (2018). MSC: 65M15 65M50 65N15 PDFBibTeX XMLCite \textit{E. Bänsch} et al., Calcolo 55, No. 2, Paper No. 19, 32 p. (2018; Zbl 1395.65057) Full Text: DOI Link
Čermák, Martin; Hecht, Frédéric; Tang, Zuqi; Vohralík, Martin Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. (English) Zbl 1448.65221 Numer. Math. 138, No. 4, 1027-1065 (2018). MSC: 65N30 65N15 65N22 65F10 76M10 76D07 PDFBibTeX XMLCite \textit{M. Čermák} et al., Numer. Math. 138, No. 4, 1027--1065 (2018; Zbl 1448.65221) Full Text: DOI HAL
Pham, Duong Thanh; Le, Tung A posteriori error estimation for the Laplace-Beltrami equation on spheres with spherical splines. (English) Zbl 1397.65290 Comput. Math. Appl. 74, No. 10, 2298-2320 (2017). MSC: 65N30 65N15 35R01 65N50 65D07 PDFBibTeX XMLCite \textit{D. T. Pham} and \textit{T. Le}, Comput. Math. Appl. 74, No. 10, 2298--2320 (2017; Zbl 1397.65290) Full Text: DOI
Bringmann, P.; Carstensen, C. \(h\)-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. (English) Zbl 1402.65150 Comput. Math. Appl. 74, No. 8, 1923-1939 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 65N12 76D07 76M15 PDFBibTeX XMLCite \textit{P. Bringmann} and \textit{C. Carstensen}, Comput. Math. Appl. 74, No. 8, 1923--1939 (2017; Zbl 1402.65150) Full Text: DOI
Zheng, Xiaobo; Xie, Xiaoping A posteriori error estimator for a weak Galerkin finite element solution of the Stokes problem. (English) Zbl 1383.65134 East Asian J. Appl. Math. 7, No. 3, 508-529 (2017). MSC: 65N15 35J25 65N30 76D07 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{X. Xie}, East Asian J. Appl. Math. 7, No. 3, 508--529 (2017; Zbl 1383.65134) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J. Adaptive finite element methods for an optimal control problem involving Dirac measures. (English) Zbl 1375.49049 Numer. Math. 137, No. 1, 159-197 (2017). MSC: 49N10 49J20 49M25 65K10 65N15 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Allendes} et al., Numer. Math. 137, No. 1, 159--197 (2017; Zbl 1375.49049) Full Text: DOI arXiv
Choi, Hyung Jun An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem. (English) Zbl 1369.76022 Comput. Math. Appl. 73, No. 3, 450-464 (2017). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{H. J. Choi}, Comput. Math. Appl. 73, No. 3, 450--464 (2017; Zbl 1369.76022) Full Text: DOI
Chung, Eric T.; Du, Jie; Yuen, Man Chun An adaptive SDG method for the Stokes system. (English) Zbl 1401.76085 J. Sci. Comput. 70, No. 2, 766-792 (2017). MSC: 76M10 65N30 65N15 65N50 76D07 76S05 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Sci. Comput. 70, No. 2, 766--792 (2017; Zbl 1401.76085) Full Text: DOI
Achchab, Boujemâa; Agouzal, Abdellatif; Bouihat, Khalid; Majdoubi, Adil; Souissi, Ali Projection stabilized nonconforming finite element methods for the Stokes problem. (English) Zbl 1457.76062 Numer. Methods Partial Differ. Equations 33, No. 1, 218-240 (2017). MSC: 76D10 76M10 65M15 PDFBibTeX XMLCite \textit{B. Achchab} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 218--240 (2017; Zbl 1457.76062) Full Text: DOI
Abdulle, Assyr; Budáč, Ondrej A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media. (English) Zbl 1436.76018 Comput. Methods Appl. Mech. Eng. 307, 1-31 (2016). MSC: 76M10 65N30 35Q86 74F10 74Qxx 76D07 76S05 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{O. Budáč}, Comput. Methods Appl. Mech. Eng. 307, 1--31 (2016; Zbl 1436.76018) Full Text: DOI Link
Nicaise, Serge; Ahounou, Bernardin; Houedanou, Wilfrid Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: isotropic discretization. (English) Zbl 1386.74140 Afr. Mat. 27, No. 3-4, 701-729 (2016). MSC: 74S05 74S10 74S15 74S20 74S25 74S30 PDFBibTeX XMLCite \textit{S. Nicaise} et al., Afr. Mat. 27, No. 3--4, 701--729 (2016; Zbl 1386.74140) Full Text: DOI
Han, Jiayu; Yang, Yidu An adaptive finite element method for the transmission eigenvalue problem. (English) Zbl 1377.65145 J. Sci. Comput. 69, No. 3, 1279-1300 (2016). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N25 65N30 35J05 35P15 PDFBibTeX XMLCite \textit{J. Han} and \textit{Y. Yang}, J. Sci. Comput. 69, No. 3, 1279--1300 (2016; Zbl 1377.65145) Full Text: DOI
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. (English) Zbl 1349.76276 J. Comput. Phys. 319, 242-265 (2016). MSC: 76M10 65M60 65M12 76Nxx 76T10 PDFBibTeX XMLCite \textit{L. Tian} et al., J. Comput. Phys. 319, 242--265 (2016; Zbl 1349.76276) 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 PDFBibTeX XMLCite \textit{P. Bringmann} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1411--1432 (2016; Zbl 1401.76083) Full Text: DOI
Dedner, Andreas; Madhavan, Pravin Adaptive discontinuous Galerkin methods on surfaces. (English) Zbl 1336.65189 Numer. Math. 132, No. 2, 369-398 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 58J05 65N15 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{P. Madhavan}, Numer. Math. 132, No. 2, 369--398 (2016; Zbl 1336.65189) Full Text: DOI arXiv
Gatica, Gabriel N.; Ruiz-Baier, Ricardo; Tierra, Giordano A mixed finite element method for Darcy’s equations with pressure dependent porosity. (English) Zbl 1329.76169 Math. Comput. 85, No. 297, 1-33 (2016). MSC: 76M10 76S05 65N15 65N30 74F10 74S05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Comput. 85, No. 297, 1--33 (2016; Zbl 1329.76169) Full Text: DOI Link
Choi, Hyung Jun; Kweon, Jae Ryong A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon. (English) Zbl 1325.76115 J. Comput. Appl. Math. 292, 342-362 (2016). MSC: 76M10 76D05 35Q30 65N12 65N30 PDFBibTeX XMLCite \textit{H. J. Choi} and \textit{J. R. Kweon}, J. Comput. Appl. Math. 292, 342--362 (2016; Zbl 1325.76115) Full Text: DOI
Hauke, Guillermo; Fuster, Daniel; Lizarraga, Fernando Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations. (English) Zbl 1423.76237 Comput. Methods Appl. Mech. Eng. 283, 1493-1524 (2015). MSC: 76M10 65N30 65N15 76B15 76D05 PDFBibTeX XMLCite \textit{G. Hauke} et al., Comput. Methods Appl. Mech. Eng. 283, 1493--1524 (2015; Zbl 1423.76237) Full Text: DOI
Li, Jian; Chen, Zhangxin; Zhang, Tong Adaptive stabilized mixed finite volume methods for the incompressible flow. (English) Zbl 1338.76076 Numer. Methods Partial Differ. Equations 31, No. 5, 1424-1443 (2015). MSC: 76M12 65N08 65N50 76D07 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 31, No. 5, 1424--1443 (2015; Zbl 1338.76076) Full Text: DOI
Stenberg, Rolf; Videman, Juha On the error analysis of stabilized finite element methods for the Stokes problem. (English) Zbl 1331.76073 SIAM J. Numer. Anal. 53, No. 6, 2626-2633 (2015). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{R. Stenberg} and \textit{J. Videman}, SIAM J. Numer. Anal. 53, No. 6, 2626--2633 (2015; Zbl 1331.76073) Full Text: DOI arXiv Link
Linke, A.; Merdon, C. Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element. (English) Zbl 1330.76074 J. Sci. Comput. 64, No. 2, 541-558 (2015). MSC: 76M10 65N30 65N15 35Q30 PDFBibTeX XMLCite \textit{A. Linke} and \textit{C. Merdon}, J. Sci. Comput. 64, No. 2, 541--558 (2015; Zbl 1330.76074) Full Text: DOI
Bonito, Andrea; Devaud, Denis Adaptive finite element methods for the Stokes problem with discontinuous viscosity. (English) Zbl 1327.76091 Math. Comput. 84, No. 295, 2137-2162 (2015). Reviewer: Antonio López-Carmona (Granada) MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{D. Devaud}, Math. Comput. 84, No. 295, 2137--2162 (2015; Zbl 1327.76091) Full Text: DOI
Carstensen, C.; Köhler, K.; Peterseim, D.; Schedensack, M. Comparison results for the Stokes equations. (English) Zbl 1320.76062 Appl. Numer. Math. 95, 118-129 (2015). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Appl. Numer. Math. 95, 118--129 (2015; Zbl 1320.76062) Full Text: DOI arXiv
Le, Anh Ha; Omnes, Pascal An a posteriori error estimation for the discrete duality finite volume discretization of the Stokes equations. (English) Zbl 1321.76046 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 663-693 (2015). MSC: 76M12 65N08 65N15 76D07 PDFBibTeX XMLCite \textit{A. H. Le} and \textit{P. Omnes}, ESAIM, Math. Model. Numer. Anal. 49, No. 3, 663--693 (2015; Zbl 1321.76046) Full Text: DOI
Han, Jiayu; Zhang, Zhimin; Yang, Yidu A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem. (English) Zbl 1338.65237 Numer. Methods Partial Differ. Equations 31, No. 1, 31-53 (2015). MSC: 65N25 PDFBibTeX XMLCite \textit{J. Han} et al., Numer. Methods Partial Differ. Equations 31, No. 1, 31--53 (2015; Zbl 1338.65237) Full Text: DOI
Song, Lina; Gao, Mingmei A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem. (English) Zbl 1423.76278 Comput. Methods Appl. Mech. Eng. 279, 410-424 (2014). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{L. Song} and \textit{M. Gao}, Comput. Methods Appl. Mech. Eng. 279, 410--424 (2014; Zbl 1423.76278) Full Text: DOI
Kim, Kwang-Yeon Fully computable a posteriori error estimates for the Stokes equation without the global inf-sup constant. (English) Zbl 1381.76181 Comput. Math. Appl. 67, No. 3, 681-691 (2014). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{K.-Y. Kim}, Comput. Math. Appl. 67, No. 3, 681--691 (2014; Zbl 1381.76181) Full Text: DOI
Wei, Hongbo; Hou, Yanren; Song, Lina Adaptive dimension splitting algorithm for three-dimensional elliptic equations. (English) Zbl 1309.65139 Int. J. Comput. Math. 91, No. 12, 2535-2553 (2014). MSC: 65N30 35J25 65N15 65Y05 PDFBibTeX XMLCite \textit{H. Wei} et al., Int. J. Comput. Math. 91, No. 12, 2535--2553 (2014; Zbl 1309.65139) Full Text: DOI
Araya, Rodolfo; Poza, Abner H.; Valentin, Frédéric An adaptive residual local projection finite element method for the Navier-Stokes equations. (English) Zbl 1426.76214 Adv. Comput. Math. 40, No. 5-6, 1093-1119 (2014). MSC: 76M10 76D05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{R. Araya} et al., Adv. Comput. Math. 40, No. 5--6, 1093--1119 (2014; Zbl 1426.76214) Full Text: DOI
Demlow, Alan; Hirani, Anil N. A posteriori error estimates for finite element exterior calculus: the de Rham complex. (English) Zbl 1308.65187 Found. Comput. Math. 14, No. 6, 1337-1371 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 58A12 58A14 58A15 58J05 PDFBibTeX XMLCite \textit{A. Demlow} and \textit{A. N. Hirani}, Found. Comput. Math. 14, No. 6, 1337--1371 (2014; Zbl 1308.65187) Full Text: DOI arXiv
Du, Ning; Ge, Liang; Liu, Wenbin Adaptive finite element approximation for an elliptic optimal control problem with both pointwise and integral control constraints. (English) Zbl 1311.65083 J. Sci. Comput. 60, No. 1, 160-183 (2014). Reviewer: Basilis Kokkinis (Athens) MSC: 65K10 49J20 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{N. Du} et al., J. Sci. Comput. 60, No. 1, 160--183 (2014; Zbl 1311.65083) Full Text: DOI
Cao, Jun; Zhou, Guofang; Wang, Cheng; Dong, Xinzhuang A hybrid adaptive finite difference method powered by a posteriori error estimation technique. (English) Zbl 1291.65283 J. Comput. Appl. Math. 259, Part A, 117-128 (2014). MSC: 65M15 65M06 65M50 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Comput. Appl. Math. 259, Part A, 117--128 (2014; Zbl 1291.65283) Full Text: DOI
Chen, Wenbin; Wang, Yanqiu A posteriori error estimate for the \(H(\operatorname{div})\) conforming mixed finite element for the coupled Darcy-Stokes system. (English) Zbl 1291.65338 J. Comput. Appl. Math. 255, 502-516 (2014). MSC: 65N30 65N15 76M10 76D07 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Wang}, J. Comput. Appl. Math. 255, 502--516 (2014; Zbl 1291.65338) Full Text: DOI
Zhang, Tong; Zhao, Xin; Lei, Gang A posteriori error estimates of stabilized finite element method for the steady Navier-Stokes problem. (English) Zbl 1290.76077 Appl. Math. Comput. 219, No. 17, 9081-9092 (2013). MSC: 76M10 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math. Comput. 219, No. 17, 9081--9092 (2013; Zbl 1290.76077) Full Text: DOI
Yang, YiDu; Jiang, Wei Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem. (English) Zbl 1273.65171 Sci. China, Math. 56, No. 6, 1313-1330 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{W. Jiang}, Sci. China, Math. 56, No. 6, 1313--1330 (2013; Zbl 1273.65171) Full Text: DOI
Zhang, Yunzhang; Hou, Yanren; Du, Conghui A posteriori error estimation for a defect correction method applied to conduction convection problems. (English) Zbl 1364.76104 Numer. Methods Partial Differ. Equations 29, No. 2, 496-509 (2013). MSC: 76M10 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Numer. Methods Partial Differ. Equations 29, No. 2, 496--509 (2013; Zbl 1364.76104) Full Text: DOI
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. A posteriori error estimators for control constrained optimal control problems. (English) Zbl 1356.49048 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 431-443 (2012). MSC: 49M25 49J20 65N30 65N15 PDFBibTeX XMLCite \textit{K. Kohls} et al., ISNM, Int. Ser. Numer. Math. 160, 431--443 (2012; Zbl 1356.49048) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Static two-grid mixed finite-element approximations to the Navier-Stokes equations. (English) Zbl 1264.76065 J. Sci. Comput. 52, No. 3, 619-637 (2012). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{J. de Frutos} et al., J. Sci. Comput. 52, No. 3, 619--637 (2012; Zbl 1264.76065) Full Text: DOI arXiv
Hannukainen, Antti; Stenberg, Rolf; Vohralík, Martin A unified framework for a posteriori error estimation for the Stokes problem. (English) Zbl 1301.76049 Numer. Math. 122, No. 4, 725-769 (2012). MSC: 76M10 76M12 76D07 65N15 PDFBibTeX XMLCite \textit{A. Hannukainen} et al., Numer. Math. 122, No. 4, 725--769 (2012; Zbl 1301.76049) Full Text: DOI
Abboud, Hyam; El Chami, Fida; Sayah, Toni A priori and a posteriori estimates for three-dimensional Stokes equations with nonstandard boundary conditions. (English) Zbl 1343.76016 Numer. Methods Partial Differ. Equations 28, No. 4, 1178-1193 (2012). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{H. Abboud} et al., Numer. Methods Partial Differ. Equations 28, No. 4, 1178--1193 (2012; Zbl 1343.76016) Full Text: DOI HAL
Siebert, Kunibert G. Mathematically founded design of adaptive finite element software. (English) Zbl 1250.65142 Naldi, Giovanni (ed.) et al., Multiscale and adaptivity: Modeling, numerics and applications. C.I.M.E. summer school, Cetraro, Italy, July 6–11, 2009. Berlin: Springer; Firenze: Fondazione CIME Roberto Conti (ISBN 978-3-642-24078-2/pbk; 978-3-642-24079-9/ebook). Lecture Notes in Mathematics 2040, 227-309 (2012). MSC: 65N30 65N15 65N50 35J05 35J25 65Y15 PDFBibTeX XMLCite \textit{K. G. Siebert}, Lect. Notes Math. 2040, 227--309 (2012; Zbl 1250.65142) Full Text: DOI
Huang, Pengzhan; He, Yinnian; Feng, Xinlong A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. (English) Zbl 1246.76054 Math. Methods Appl. Sci. 35, No. 9, 1033-1046 (2012). MSC: 76M10 65N30 65N12 65B05 35Q30 PDFBibTeX XMLCite \textit{P. Huang} et al., Math. Methods Appl. Sci. 35, No. 9, 1033--1046 (2012; Zbl 1246.76054) Full Text: DOI
Liao, Qifeng; Silvester, David A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. (English) Zbl 1426.76284 Appl. Numer. Math. 62, No. 9, 1242-1256 (2012). MSC: 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{Q. Liao} and \textit{D. Silvester}, Appl. Numer. Math. 62, No. 9, 1242--1256 (2012; Zbl 1426.76284) Full Text: DOI Link
Kreuzer, Christian Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem. (English) Zbl 1388.76139 Math. Comput. 81, No. 277, 21-55 (2012). MSC: 76M10 76D07 65N12 PDFBibTeX XMLCite \textit{C. Kreuzer}, Math. Comput. 81, No. 277, 21--55 (2012; Zbl 1388.76139) Full Text: DOI
Zhang, Yun-zhang; Hou, Yan-ren; Wei, Hong-bo Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems. (English) Zbl 1237.76078 Appl. Math. Mech., Engl. Ed. 32, No. 10, 1269-1286 (2011). MSC: 76M10 65N15 65N30 65N50 65Z05 PDFBibTeX XMLCite \textit{Y.-z. Zhang} et al., Appl. Math. Mech., Engl. Ed. 32, No. 10, 1269--1286 (2011; Zbl 1237.76078) Full Text: DOI
Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity. (English) Zbl 1230.74190 Comput. Methods Appl. Mech. Eng. 200, No. 47-48, 3453-3481 (2011). MSC: 74S05 74B15 65N15 65N30 PDFBibTeX XMLCite \textit{A. Masud} et al., Comput. Methods Appl. Mech. Eng. 200, No. 47--48, 3453--3481 (2011; Zbl 1230.74190) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations. (English) Zbl 1238.76031 J. Comput. Appl. Math. 236, No. 6, 1103-1122 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 76D07 65M15 65M60 PDFBibTeX XMLCite \textit{J. de Frutos} et al., J. Comput. Appl. Math. 236, No. 6, 1103--1122 (2011; Zbl 1238.76031) Full Text: DOI arXiv
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. (English) Zbl 1228.76085 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1877-1891 (2011). MSC: 76M10 76S05 74F10 65N15 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1877--1891 (2011; Zbl 1228.76085) Full Text: DOI
Ku, Jaeun A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method. (English) Zbl 1225.65102 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 830-836 (2011). MSC: 65N15 65N30 74S05 76M10 PDFBibTeX XMLCite \textit{J. Ku}, Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 830--836 (2011; Zbl 1225.65102) Full Text: DOI
Bahaj, Mohamed; Rachid, Anas A posteriori error analysis of nonconforming finite-element discretization for the Stokes equations. (English) Zbl 1331.76064 Int. J. Comput. Math. 88, No. 7, 1497-1508 (2011). MSC: 76M10 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{M. Bahaj} and \textit{A. Rachid}, Int. J. Comput. Math. 88, No. 7, 1497--1508 (2011; Zbl 1331.76064) Full Text: DOI
Cui, Ming; Yan, Ningning A posteriori error estimate for the Stokes-Darcy system. (English) Zbl 1369.76023 Math. Methods Appl. Sci. 34, No. 9, 1050-1064 (2011). MSC: 76M10 76S05 65N30 PDFBibTeX XMLCite \textit{M. Cui} and \textit{N. Yan}, Math. Methods Appl. Sci. 34, No. 9, 1050--1064 (2011; Zbl 1369.76023) Full Text: DOI
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. (English) Zbl 1410.76168 Math. Comput. 80, No. 274, 697-722 (2011). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{H. Eichel} et al., Math. Comput. 80, No. 274, 697--722 (2011; Zbl 1410.76168) Full Text: DOI
Lee, Hyung-Chun; Kim, Kwang-Yeon A posteriori error estimators for stabilized \(P\)1 nonconforming approximation of the Stokes problem. (English) Zbl 1231.76157 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2903-2912 (2010). MSC: 76M10 65N15 65N30 PDFBibTeX XMLCite \textit{H.-C. Lee} and \textit{K.-Y. Kim}, Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2903--2912 (2010; Zbl 1231.76157) Full Text: DOI