Kwak, Do Y.; Park, Hyeokjoo A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem. (English) Zbl 07570475 Numer. Algorithms 91, No. 1, 449-471 (2022). MSC: 65-XX 65N12 65N30 76D07 PDF BibTeX XML Cite \textit{D. Y. Kwak} and \textit{H. Park}, Numer. Algorithms 91, No. 1, 449--471 (2022; Zbl 07570475) Full Text: DOI OpenURL
Xu, Jiali; Su, Haiyan; Li, Zhilin Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations. (English) Zbl 07540331 Numer. Algorithms 90, No. 3, 1117-1151 (2022). MSC: 65N30 65N12 65N15 65K10 76W05 35A01 35A02 76M10 PDF BibTeX XML Cite \textit{J. Xu} et al., Numer. Algorithms 90, No. 3, 1117--1151 (2022; Zbl 07540331) Full Text: DOI OpenURL
Xu, Chao; Pei, Lifang Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation. (English) Zbl 07537410 Comput. Math. Appl. 115, 1-13 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{C. Xu} and \textit{L. Pei}, Comput. Math. Appl. 115, 1--13 (2022; Zbl 07537410) Full Text: DOI OpenURL
Shen, Yue; Gong, Wei; Yan, Ningning Convergence of adaptive nonconforming finite element method for Stokes optimal control problems. (English) Zbl 07531741 J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022). MSC: 65N30 65N50 65N12 49M41 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022; Zbl 07531741) Full Text: DOI OpenURL
Lee, Lia Electrical impedance tomography using nonconforming mesh and posterior approximated regression. (Abstract of thesis). (English) Zbl 07527758 Bull. Aust. Math. Soc. 105, No. 3, 520-522 (2022). MSC: 62M40 35B45 62C10 62E17 62F15 65N21 65N30 PDF BibTeX XML Cite \textit{L. Lee}, Bull. Aust. Math. Soc. 105, No. 3, 520--522 (2022; Zbl 07527758) Full Text: DOI OpenURL
Gao, Jiawei; Li, Jian Comparative study of space iteration methods based on nonconforming finite element for stationary Navier-Stokes equations. (English) Zbl 07524373 East Asian J. Appl. Math. 12, No. 3, 628-648 (2022). MSC: 65-XX 35L70 65N30 76D06 PDF BibTeX XML Cite \textit{J. Gao} and \textit{J. Li}, East Asian J. Appl. Math. 12, No. 3, 628--648 (2022; Zbl 07524373) Full Text: DOI OpenURL
Xu, Jiali; Feng, Xinlong; Su, Haiyan Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations. (English) Zbl 07512564 Comput. Fluids 238, Article ID 105372, 12 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{J. Xu} et al., Comput. Fluids 238, Article ID 105372, 12 p. (2022; Zbl 07512564) Full Text: DOI OpenURL
Alnashri, Yahya Convergence analysis for a nonlinear system of parabolic variational inequalities. (English) Zbl 07512171 J. Inequal. Appl. 2022, Paper No. 16, 18 p. (2022). MSC: 35J86 65N12 65N15 76S05 PDF BibTeX XML Cite \textit{Y. Alnashri}, J. Inequal. Appl. 2022, Paper No. 16, 18 p. (2022; Zbl 07512171) Full Text: DOI OpenURL
He, Xiaoxiao; Song, Fei; Deng, Weibing A stabilized nonconforming Nitsche’s extended finite element method for Stokes interface problems. (English) Zbl 07506996 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849-2871 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N15 76D07 76M10 35B45 PDF BibTeX XML Cite \textit{X. He} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849--2871 (2022; Zbl 07506996) Full Text: DOI OpenURL
Feng, Fang; Han, Weimin; Huang, Jianguo A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem. (English) Zbl 07488702 J. Sci. Comput. 90, No. 3, Paper No. 89, 24 p. (2022). MSC: 65N30 65N15 65N12 74G65 74M10 74K20 74S05 35A23 35A01 35A02 35Q74 PDF BibTeX XML Cite \textit{F. Feng} et al., J. Sci. Comput. 90, No. 3, Paper No. 89, 24 p. (2022; Zbl 07488702) Full Text: DOI OpenURL
He, Xiaoxiao; Deng, Weibing An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems. (English) Zbl 1483.65187 Appl. Numer. Math. 173, 434-452 (2022). MSC: 65N30 65N15 65N12 35J25 76M10 PDF BibTeX XML Cite \textit{X. He} and \textit{W. Deng}, Appl. Numer. Math. 173, 434--452 (2022; Zbl 1483.65187) Full Text: DOI OpenURL
Garg, Deepika; Ganesan, Sashikumaar Generalized local projection stabilized nonconforming finite element methods for Darcy equations. (English) Zbl 1480.65333 Numer. Algorithms 89, No. 1, 341-369 (2022). MSC: 65N30 65N15 65N12 76S05 76M10 PDF BibTeX XML Cite \textit{D. Garg} and \textit{S. Ganesan}, Numer. Algorithms 89, No. 1, 341--369 (2022; Zbl 1480.65333) Full Text: DOI OpenURL
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika Morley FEM for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1477.49041 Comput. Methods Appl. Math. 21, No. 1, 233-262 (2021). MSC: 49M05 49M25 65N15 65N30 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., Comput. Methods Appl. Math. 21, No. 1, 233--262 (2021; Zbl 1477.49041) Full Text: DOI OpenURL
Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. Morley FEM for the fourth-order nonlinear reaction-diffusion problems. (English) Zbl 07411571 Comput. Math. Appl. 99, 229-245 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{P. Danumjaya} et al., Comput. Math. Appl. 99, 229--245 (2021; Zbl 07411571) Full Text: DOI OpenURL
Huang, Jianguo; Yu, Yue Some estimates for \({H^1}\) nonconforming virtual element methods. (Chinese. English summary) Zbl 07404066 J. Nanjing Norm. Univ., Nat. Sci. Ed. 44, No. 2, 1-5 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Yu}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 44, No. 2, 1--5 (2021; Zbl 07404066) Full Text: DOI OpenURL
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. (English) Zbl 1478.65116 J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021). MSC: 65N30 65N50 65N15 35J25 PDF BibTeX XML Cite \textit{Z. Cai} et al., J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021; Zbl 1478.65116) Full Text: DOI arXiv OpenURL
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Tang, Yifa A superconvergent nonconforming mixed FEM for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficients. (English) Zbl 1468.65140 East Asian J. Appl. Math. 11, No. 1, 63-92 (2021). MSC: 65M60 65M06 65N30 65M12 35R11 PDF BibTeX XML Cite \textit{H. Fan} et al., East Asian J. Appl. Math. 11, No. 1, 63--92 (2021; Zbl 1468.65140) Full Text: DOI OpenURL
Carstensen, Carsten; Nataraj, Neela Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. (English) Zbl 1467.65107 SIAM J. Numer. Anal. 59, No. 2, 696-719 (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, SIAM J. Numer. Anal. 59, No. 2, 696--719 (2021; Zbl 1467.65107) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{C. Carstensen} et al., IMA J. Numer. Anal. 41, No. 1, 164--205 (2021; Zbl 1460.65145) Full Text: DOI arXiv OpenURL
Huang, Jianguo; Yu, Yue A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations. (English) Zbl 1457.65197 J. Comput. Appl. Math. 386, Article ID 113229, 21 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 35J05 31A30 35D30 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Yu}, J. Comput. Appl. Math. 386, Article ID 113229, 21 p. (2021; Zbl 1457.65197) Full Text: DOI OpenURL
Liu, Yujie; Wang, Junping An extended \(P_1\)-nonconforming finite element method on general polytopal partitions. (English) Zbl 1446.65175 J. Comput. Appl. Math. 381, Article ID 113021, 19 p. (2021). MSC: 65N30 65N15 65N12 35J50 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{J. Wang}, J. Comput. Appl. Math. 381, Article ID 113021, 19 p. (2021; Zbl 1446.65175) Full Text: DOI OpenURL
Wang, Nan; Chen, Jinru A nonconforming Nitsche’s extended finite element method for elliptic interface problems. (English) Zbl 07409058 Adv. Appl. Math. Mech. 12, No. 4, 879-901 (2020). MSC: 65N30 65N12 35J15 PDF BibTeX XML Cite \textit{N. Wang} and \textit{J. Chen}, Adv. Appl. Math. Mech. 12, No. 4, 879--901 (2020; Zbl 07409058) Full Text: DOI OpenURL
Zhang, Bei; Zhao, Jikun A mixed formulation of stabilized nonconforming finite element method for linear elasticity. (English) Zbl 07409032 Adv. Appl. Math. Mech. 12, No. 1, 278-300 (2020). MSC: 65N30 65N15 65N12 74B10 PDF BibTeX XML Cite \textit{B. Zhang} and \textit{J. Zhao}, Adv. Appl. Math. Mech. 12, No. 1, 278--300 (2020; Zbl 07409032) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{C. Jin}, Numer. Math., Theory Methods Appl. 13, No. 2, 400--432 (2020; Zbl 1463.65376) Full Text: DOI OpenURL
Carstensen, Carsten; Puttkammer, Sophie How to prove the discrete reliability for nonconforming finite element methods. (English) Zbl 1463.65362 J. Comput. Math. 38, No. 1, 142-175 (2020). MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Puttkammer}, J. Comput. Math. 38, No. 1, 142--175 (2020; Zbl 1463.65362) Full Text: DOI arXiv OpenURL
Piersanti, Paolo; Shen, Xiaoqin Numerical methods for static shallow shells lying over an obstacle. (English) Zbl 1465.65144 Numer. Algorithms 85, No. 2, 623-652 (2020). MSC: 65N30 35J87 74K25 74B10 PDF BibTeX XML Cite \textit{P. Piersanti} and \textit{X. Shen}, Numer. Algorithms 85, No. 2, 623--652 (2020; Zbl 1465.65144) Full Text: DOI OpenURL
Hu, Jun; Tian, Shudan; Zhang, Shangyou A family of 3D \(H^2\)-nonconforming tetrahedral finite elements for the biharmonic equation. (English) Zbl 1446.65171 Sci. China, Math. 63, No. 8, 1505-1522 (2020). MSC: 65N30 65N15 31A30 PDF BibTeX XML Cite \textit{J. Hu} et al., Sci. China, Math. 63, No. 8, 1505--1522 (2020; Zbl 1446.65171) Full Text: DOI arXiv OpenURL
Xi, Yingxia; Ji, Xia; Zhang, Shuo A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem. (English) Zbl 1446.31004 J. Sci. Comput. 83, No. 3, Paper No. 67, 20 p. (2020). MSC: 31A30 65N30 PDF BibTeX XML Cite \textit{Y. Xi} et al., J. Sci. Comput. 83, No. 3, Paper No. 67, 20 p. (2020; Zbl 1446.31004) Full Text: DOI arXiv OpenURL
Karaa, Samir Galerkin type methods for semilinear time-fractional diffusion problems. (English) Zbl 1440.65139 J. Sci. Comput. 83, No. 3, Paper No. 46, 22 p. (2020). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 65N15 PDF BibTeX XML Cite \textit{S. Karaa}, J. Sci. Comput. 83, No. 3, Paper No. 46, 22 p. (2020; Zbl 1440.65139) Full Text: DOI arXiv OpenURL
Zhang, Houchao; Shi, Dongyang; Li, Qingfu Nonconforming finite element method for a generalized nonlinear Schrödinger equation. (English) Zbl 1474.65375 Appl. Math. Comput. 377, Article ID 125141, 20 p. (2020). MSC: 65M60 65M06 65N30 65M15 65M12 35Q55 PDF BibTeX XML Cite \textit{H. Zhang} et al., Appl. Math. Comput. 377, Article ID 125141, 20 p. (2020; Zbl 1474.65375) Full Text: DOI OpenURL
Zhou, Mozhen; Zhang, Bingyin; Chen, Tielin; Peng, Chong; Fang, Huangcheng A three-field dual mortar method for elastic problems with nonconforming mesh. (English) Zbl 1439.74482 Comput. Methods Appl. Mech. Eng. 362, Article ID 112870, 24 p. (2020). MSC: 74S05 65N30 65N55 74M15 PDF BibTeX XML Cite \textit{M. Zhou} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112870, 24 p. (2020; Zbl 1439.74482) Full Text: DOI OpenURL
Carstensen, Carsten Collective marking for adaptive least-squares finite element methods with optimal rates. (English) Zbl 1426.65171 Math. Comput. 89, No. 321, 89-103 (2020). MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Carstensen}, Math. Comput. 89, No. 321, 89--103 (2020; Zbl 1426.65171) Full Text: DOI OpenURL
Kumar, Sandeep; Pathak, Ashish; Khan, Debashis Mathematical theory of subdivision. Finite element and wavelet methods. (English) Zbl 1432.65001 Boca Raton, FL: CRC Press (ISBN 978-1-138-05158-4/hbk; 978-1-315-16826-5/ebook). xv, 230 p. (2020). Reviewer: Dana Černá (Liberec) MSC: 65-01 65N30 42C40 PDF BibTeX XML Cite \textit{S. Kumar} et al., Mathematical theory of subdivision. Finite element and wavelet methods. Boca Raton, FL: CRC Press (2020; Zbl 1432.65001) Full Text: DOI OpenURL
Li, Youai Lower bounds of eigenvalues of the Stokes operator by nonconforming finite elements on local quasi-uniform grids. (English) Zbl 07408368 Adv. Appl. Math. Mech. 11, No. 1, 241-254 (2019). MSC: 65N30 65N15 65N25 76D07 35Q35 PDF BibTeX XML Cite \textit{Y. Li}, Adv. Appl. Math. Mech. 11, No. 1, 241--254 (2019; Zbl 07408368) Full Text: DOI OpenURL
Hu, Jun; Schedensack, Mira Two low-order nonconforming finite element methods for the Stokes flow in three dimensions. (English) Zbl 1466.65191 IMA J. Numer. Anal. 39, No. 3, 1447-1470 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{J. Hu} and \textit{M. Schedensack}, IMA J. Numer. Anal. 39, No. 3, 1447--1470 (2019; Zbl 1466.65191) Full Text: DOI arXiv OpenURL
Zhang, Houchao; Yang, Xiaoxia Superconvergence analysis of nonconforming finite element method for time-fractional nonlinear parabolic equations on anisotropic meshes. (English) Zbl 1442.65285 Comput. Math. Appl. 77, No. 10, 2707-2724 (2019). MSC: 65M60 65M12 35R11 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{X. Yang}, Comput. Math. Appl. 77, No. 10, 2707--2724 (2019; Zbl 1442.65285) Full Text: DOI OpenURL
Guo, Yuling; Huang, Jianguo A robust \({C^0}{P_1}\)-\({P_3}\) space-time finite element method for elastic vibration problems. (Chinese. English summary) Zbl 1449.65245 J. Nanjing Norm. Univ., Nat. Sci. Ed. 42, No. 4, 12-16 (2019). MSC: 65M60 74H15 35Q74 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{J. Huang}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 42, No. 4, 12--16 (2019; Zbl 1449.65245) Full Text: DOI OpenURL
Nataraj, Neela; Vasudeva Murthy, A. S. Finite element methods: research in India over the last decade. (English) Zbl 1433.65004 Indian J. Pure Appl. Math. 50, No. 3, 739-765 (2019). MSC: 65-03 01A61 65N30 PDF BibTeX XML Cite \textit{N. Nataraj} and \textit{A. S. Vasudeva Murthy}, Indian J. Pure Appl. Math. 50, No. 3, 739--765 (2019; Zbl 1433.65004) Full Text: DOI OpenURL
Zhang, Yu; Yang, Yidu A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. (English) Zbl 1431.65210 Numer. Methods Partial Differ. Equations 35, No. 6, 2149-2170 (2019). MSC: 65N25 65N30 76D07 35P20 35J15 65N15 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Yang}, Numer. Methods Partial Differ. Equations 35, No. 6, 2149--2170 (2019; Zbl 1431.65210) Full Text: DOI OpenURL
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data. (English) Zbl 1440.65143 J. Sci. Comput. 81, No. 3, 1823-1859 (2019). MSC: 65M60 65N30 65M06 65N15 65M15 26A33 35R11 PDF BibTeX XML Cite \textit{M. Li} et al., J. Sci. Comput. 81, No. 3, 1823--1859 (2019; Zbl 1440.65143) Full Text: DOI OpenURL
Zhang, Houchao; Shi, Dongyang Superconvergence analysis for time-fractional diffusion equations with nonconforming mixed finite element method. (English) Zbl 1449.65266 J. Comput. Math. 37, No. 4, 488-505 (2019). MSC: 65M60 65N12 65N15 65N30 35R11 26A33 65M06 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{D. Shi}, J. Comput. Math. 37, No. 4, 488--505 (2019; Zbl 1449.65266) Full Text: DOI OpenURL
Sun, Yan-Ping; Chen, Shao-Chun; Yang, Yong-Qin The families of nonconforming mixed finite elements for linear elasticity on simplex grids. (English) Zbl 1428.74215 Appl. Math. Comput. 358, 348-362 (2019). MSC: 74S05 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{Y.-P. Sun} et al., Appl. Math. Comput. 358, 348--362 (2019; Zbl 1428.74215) Full Text: DOI OpenURL
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander A nonconforming Trefftz virtual element method for the Helmholtz problem. (English) Zbl 1431.65218 Math. Models Methods Appl. Sci. 29, No. 9, 1619-1656 (2019). MSC: 65N30 35J05 65N12 65N15 35A15 PDF BibTeX XML Cite \textit{L. Mascotto} et al., Math. Models Methods Appl. Sci. 29, No. 9, 1619--1656 (2019; Zbl 1431.65218) Full Text: DOI arXiv OpenURL
Achchab, Boujemâa; Agouzal, Abdellatif; Guessab, Allal; Zaim, Yassine An extended family of nonconforming quasi-Wilson elements for solving elasticity problem. (English) Zbl 1428.74199 Appl. Math. Comput. 344-345, 1-19 (2019). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{B. Achchab} et al., Appl. Math. Comput. 344--345, 1--19 (2019; Zbl 1428.74199) Full Text: DOI OpenURL
Wang, Nan; Chen, Jinru A nonconforming Nitsche’s extended finite element method for Stokes interface problems. (English) Zbl 1462.65203 J. Sci. Comput. 81, No. 1, 342-374 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{N. Wang} and \textit{J. Chen}, J. Sci. Comput. 81, No. 1, 342--374 (2019; Zbl 1462.65203) Full Text: DOI OpenURL
Li, Xianzhi; Wang, Zhijun Nonconforming finite element method for nonlinear parabolic integro-differential equations. (Chinese. English summary) Zbl 1438.65238 J. Yangzhou Univ., Nat. Sci. Ed. 22, No. 1, 7-10 (2019). MSC: 65M60 35R09 45K05 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Wang}, J. Yangzhou Univ., Nat. Sci. Ed. 22, No. 1, 7--10 (2019; Zbl 1438.65238) Full Text: DOI OpenURL
Shi, Dongyang; Liu, Qian An efficient nonconforming finite element two-grid method for Allen-Cahn equation. (English) Zbl 1464.65112 Appl. Math. Lett. 98, 374-380 (2019). MSC: 65M55 65M60 65M12 35K20 35K91 74N20 PDF BibTeX XML Cite \textit{D. Shi} and \textit{Q. Liu}, Appl. Math. Lett. 98, 374--380 (2019; Zbl 1464.65112) Full Text: DOI OpenURL
Cao, Shuhao; Chen, Long Anisotropic error estimates of the linear nonconforming virtual element methods. (English) Zbl 1422.65376 SIAM J. Numer. Anal. 57, No. 3, 1058-1081 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{S. Cao} and \textit{L. Chen}, SIAM J. Numer. Anal. 57, No. 3, 1058--1081 (2019; Zbl 1422.65376) Full Text: DOI arXiv OpenURL
Köppel, Markus; Martin, Vincent; Roberts, Jean E. A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures. (English) Zbl 1425.35037 GEM. Int. J. Geomath. 10, No. 1, Paper No. 7, 29 p. (2019). MSC: 35J57 35J50 65N12 65N85 76M10 76S05 PDF BibTeX XML Cite \textit{M. Köppel} et al., GEM. Int. J. Geomath. 10, Paper No. 7, 29 p. (2019; Zbl 1425.35037) Full Text: DOI HAL OpenURL
Köppel, Markus; Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. A Lagrange multiplier method for a discrete fracture model for flow in porous media. (English) Zbl 1414.76059 Comput. Geosci. 23, No. 2, 239-253 (2019). MSC: 76S05 76M10 PDF BibTeX XML Cite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 239--253 (2019; Zbl 1414.76059) Full Text: DOI HAL OpenURL
Liu, Xin; Chen, Zhangxin The nonconforming virtual element method for the Navier-Stokes equations. (English) Zbl 1419.65117 Adv. Comput. Math. 45, No. 1, 51-74 (2019). MSC: 65N30 65N12 65N15 76D05 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Z. Chen}, Adv. Comput. Math. 45, No. 1, 51--74 (2019; Zbl 1419.65117) Full Text: DOI OpenURL
Wu, Shuonan; Xu, Jinchao Nonconforming finite element spaces for \(2m\)th order partial differential equations on \(\mathbb {R}^n\) simplicial grids when \(m=n+1\). (English) Zbl 1407.65304 Math. Comput. 88, No. 316, 531-551 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35B25 35J30 PDF BibTeX XML Cite \textit{S. Wu} and \textit{J. Xu}, Math. Comput. 88, No. 316, 531--551 (2019; Zbl 1407.65304) Full Text: DOI arXiv OpenURL
Xu, Chao; Zhou, Jiaquan; Shi, Dongyang; Zhang, Houchao Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation. (English) Zbl 07509630 Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{C. Xu} et al., Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018; Zbl 07509630) Full Text: DOI OpenURL
Akbas, Mine; Linke, Alexander; Rebholz, Leo G.; Schroeder, Philipp W. The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes. (English) Zbl 1440.76047 Comput. Methods Appl. Mech. Eng. 341, 917-938 (2018). MSC: 76M10 65N30 35Q30 65N15 76D07 PDF BibTeX XML Cite \textit{M. Akbas} et al., Comput. Methods Appl. Mech. Eng. 341, 917--938 (2018; Zbl 1440.76047) Full Text: DOI arXiv OpenURL
Khan, Arbaz; Upadhyay, Chandra Shekhar; Gerritsma, Marc Spectral element method for parabolic interface problems. (English) Zbl 1440.65140 Comput. Methods Appl. Mech. Eng. 337, 66-94 (2018). MSC: 65M60 35K20 65M70 PDF BibTeX XML Cite \textit{A. Khan} et al., Comput. Methods Appl. Mech. Eng. 337, 66--94 (2018; Zbl 1440.65140) Full Text: DOI Link OpenURL
Shin, Dong-wook; Kang, Younghun; Park, Eun-Jae \(C^0\)-discontinuous Galerkin methods for a wind-driven ocean circulation model: two-grid algorithm. (English) Zbl 1439.86007 Comput. Methods Appl. Mech. Eng. 328, 321-339 (2018). MSC: 86-08 65N30 86A05 86A10 76M10 PDF BibTeX XML Cite \textit{D.-w. Shin} et al., Comput. Methods Appl. Mech. Eng. 328, 321--339 (2018; Zbl 1439.86007) Full Text: DOI OpenURL
Wang, Zhijun; Li, Xianzhi A nonconforming \({H^1}\)-Galerkin mixed finite element method for nonlinear Sobolev equations. (Chinese. English summary) Zbl 1424.65172 Math. Pract. Theory 48, No. 12, 193-199 (2018). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{X. Li}, Math. Pract. Theory 48, No. 12, 193--199 (2018; Zbl 1424.65172) OpenURL
Luong, Thi Hong Cam; Daveau, Christian A posteriori error estimates for discontinuous Galerkin method to the elasticity problem. (English) Zbl 1407.74088 Numer. Methods Partial Differ. Equations 34, No. 4, 1348-1369 (2018). MSC: 74S05 74S20 65M15 65M06 65M60 74B10 35Q74 PDF BibTeX XML Cite \textit{T. H. C. Luong} and \textit{C. Daveau}, Numer. Methods Partial Differ. Equations 34, No. 4, 1348--1369 (2018; Zbl 1407.74088) Full Text: DOI arXiv OpenURL
Bayat, Hamid Reza; Krämer, Julian; Wunderlich, Linus; Wulfinghoff, Stephan; Reese, Stefanie; Wohlmuth, Barbara; Wieners, Christian Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics. (English) Zbl 1462.74147 Comput. Mech. 62, No. 6, 1413-1427 (2018). MSC: 74S05 65N12 65M12 PDF BibTeX XML Cite \textit{H. R. Bayat} et al., Comput. Mech. 62, No. 6, 1413--1427 (2018; Zbl 1462.74147) Full Text: DOI OpenURL
Gileva, L.; Shaydurov, V. Bicubic Hermite elements in a domain with the curved boundary. (English) Zbl 1404.65263 Lobachevskii J. Math. 39, No. 7, 893-903 (2018). MSC: 65N30 65D32 65N12 PDF BibTeX XML Cite \textit{L. Gileva} and \textit{V. Shaydurov}, Lobachevskii J. Math. 39, No. 7, 893--903 (2018; Zbl 1404.65263) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Ern} and \textit{J.-L. Guermond}, Comput. Methods Appl. Math. 18, No. 3, 451--475 (2018; Zbl 1401.65132) Full Text: DOI HAL OpenURL
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng A nonconforming finite element method for an acoustic fluid-structure interaction problem. (English) Zbl 1456.65148 Comput. Methods Appl. Math. 18, No. 3, 383-406 (2018). MSC: 65N25 65N30 74F10 74H15 76Q05 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 18, No. 3, 383--406 (2018; Zbl 1456.65148) Full Text: DOI OpenURL
Hassan, Sarah Ali; Japhet, Caroline; Vohralík, Martin A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. (English) Zbl 1397.65167 ETNA, Electron. Trans. Numer. Anal. 49, 151-181 (2018). MSC: 65M15 65M22 65M55 65F10 76S05 80A20 PDF BibTeX XML Cite \textit{S. A. Hassan} et al., ETNA, Electron. Trans. Numer. Anal. 49, 151--181 (2018; Zbl 1397.65167) Full Text: DOI Link OpenURL
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. (English) Zbl 1391.76305 J. Comput. Phys. 362, 425-448 (2018). MSC: 76M10 65M60 86A05 PDF BibTeX XML Cite \textit{B. Bonev} et al., J. Comput. Phys. 362, 425--448 (2018; Zbl 1391.76305) Full Text: DOI Link OpenURL
Jia, Huiyong; Li, Kaitai; Jia, Hongen A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. (English) Zbl 1383.35140 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 207-230 (2018). MSC: 35Q30 76M10 65N30 65M25 PDF BibTeX XML Cite \textit{H. Jia} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 207--230 (2018; Zbl 1383.35140) Full Text: DOI OpenURL
Antonietti, P. F.; Manzini, G.; Verani, M. The fully nonconforming virtual element method for biharmonic problems. (English) Zbl 1381.65090 Math. Models Methods Appl. Sci. 28, No. 2, 387-407 (2018). MSC: 65N30 65N15 35J30 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 28, No. 2, 387--407 (2018; Zbl 1381.65090) Full Text: DOI arXiv OpenURL
Huang, Peiqi; Chen, Jinru; Cai, Mingchao A mortar method using nonconforming and mixed finite elements for the coupled Stokes-Darcy model. (English) Zbl 07407144 Adv. Appl. Math. Mech. 9, No. 3, 596-620 (2017). MSC: 65N30 65N12 65N55 76D07 76S05 65N15 35Q35 PDF BibTeX XML Cite \textit{P. Huang} et al., Adv. Appl. Math. Mech. 9, No. 3, 596--620 (2017; Zbl 07407144) Full Text: DOI OpenURL
Ji, Xia; Xi, Yingxia; Xie, Hehu Nonconforming finite element method for the transmission eigenvalue problem. (English) Zbl 07407116 Adv. Appl. Math. Mech. 9, No. 1, 92-103 (2017). MSC: 65N25 65N30 34L16 65N15 PDF BibTeX XML Cite \textit{X. Ji} et al., Adv. Appl. Math. Mech. 9, No. 1, 92--103 (2017; Zbl 07407116) Full Text: DOI OpenURL
Liu, Xin; Li, Jian; Chen, Zhangxin A nonconforming virtual element method for the Stokes problem on general meshes. (English) Zbl 1439.76085 Comput. Methods Appl. Mech. Eng. 320, 694-711 (2017). MSC: 76M10 65N30 65N12 65N15 76D07 PDF BibTeX XML Cite \textit{X. Liu} et al., Comput. Methods Appl. Mech. Eng. 320, 694--711 (2017; Zbl 1439.76085) Full Text: DOI OpenURL
Shen, Xiaoqin; Bai, Lin; Yang, Qian; Li, Haoming; Wang, Tiantian A nonconforming finite element method for the linearly elastic flexural shell. (Chinese. English summary) Zbl 1399.74100 Chin. J. Eng. Math. 34, No. 4, 383-392 (2017). MSC: 74S05 74K25 PDF BibTeX XML Cite \textit{X. Shen} et al., Chin. J. Eng. Math. 34, No. 4, 383--392 (2017; Zbl 1399.74100) Full Text: DOI OpenURL
Guan, Hong-Bo; Shi, Dong-Yang A nonconforming finite element method for constrained optimal control problems governed by parabolic equations. (English) Zbl 1448.65161 Taiwanese J. Math. 21, No. 5, 1193-1211 (2017). MSC: 65M60 65N30 65M15 49M25 49J20 PDF BibTeX XML Cite \textit{H.-B. Guan} and \textit{D.-Y. Shi}, Taiwanese J. Math. 21, No. 5, 1193--1211 (2017; Zbl 1448.65161) Full Text: DOI Euclid OpenURL
Zhang, Houchao; Mao, Fengmei; Bai, Xiuqin Superclose estimates analysis of a new mixed finite elements method for generalized nerve conduction equation. (Chinese. English summary) Zbl 1399.65275 J. Sichuan Norm. Univ., Nat. Sci. 40, No. 4, 464-472 (2017). MSC: 65M60 65M12 65M15 92C20 35Q92 PDF BibTeX XML Cite \textit{H. Zhang} et al., J. Sichuan Norm. Univ., Nat. Sci. 40, No. 4, 464--472 (2017; Zbl 1399.65275) Full Text: DOI OpenURL
Oswald, Peter Nonconforming P1 elements on distorted triangulations: lower bounds for the discrete energy norm error. (English) Zbl 06819515 Appl. Math., Praha 62, No. 5, 433-457 (2017). MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{P. Oswald}, Appl. Math., Praha 62, No. 5, 433--457 (2017; Zbl 06819515) Full Text: DOI arXiv OpenURL
Zhang, Yuanyuan; Chen, Zhongying Nonconforming finite volume methods for second order elliptic boundary value problems. (English) Zbl 1422.65422 Int. J. Numer. Anal. Model. 14, No. 3, 381-404 (2017). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Z. Chen}, Int. J. Numer. Anal. Model. 14, No. 3, 381--404 (2017; Zbl 1422.65422) Full Text: arXiv Link OpenURL
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika The gradient discretization method for optimal control problems, with superconvergence for nonconforming finite elements and mixed-hybrid mimetic finite differences. (English) Zbl 1375.49005 SIAM J. Control Optim. 55, No. 6, 3640-3672 (2017). MSC: 49J20 49M25 65N15 65N30 PDF BibTeX XML Cite \textit{J. Droniou} et al., SIAM J. Control Optim. 55, No. 6, 3640--3672 (2017; Zbl 1375.49005) Full Text: DOI arXiv OpenURL
Bai, Xiuqin; Zhang, Houchao; Yang, Nan Superconvergence and extrapolation of a new expanded lower order nonconforming mixed finite element method for a type of fourth-order parabolic equations with variable coefficients. (Chinese. English summary) Zbl 1399.65242 Math. Appl. 30, No. 1, 209-220 (2017). MSC: 65M60 65M12 65M15 35K25 PDF BibTeX XML Cite \textit{X. Bai} et al., Math. Appl. 30, No. 1, 209--220 (2017; Zbl 1399.65242) OpenURL
Kuznetsov, Yuri A. Monotone discretizations for diffusion equations on triangular and tetrahedral meshes. (English) Zbl 1368.65041 Russ. J. Numer. Anal. Math. Model. 32, No. 4, 253-258 (2017). MSC: 65F08 PDF BibTeX XML Cite \textit{Y. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 32, No. 4, 253--258 (2017; Zbl 1368.65041) Full Text: DOI OpenURL
Bangerth, Wolfgang; Kim, Imbunm; Sheen, Dongwoo; Yim, Jaeryun On hanging node constraints for nonconforming finite elements using the Douglas-Santos-Sheen-Ye element as an example. (English) Zbl 1369.65142 SIAM J. Numer. Anal. 55, No. 4, 1719-1739 (2017). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{W. Bangerth} et al., SIAM J. Numer. Anal. 55, No. 4, 1719--1739 (2017; Zbl 1369.65142) Full Text: DOI OpenURL
Sun, Shuzhen; Shi, Xiangyu; Liu, Qian An \(H^1\)-Galerkin nonconforming mixed finite element method for pseudo-hyperbolic equations. (Chinese. English summary) Zbl 1374.65171 J. Henan Norm. Univ., Nat. Sci. 45, No. 1, 1-7 (2017). MSC: 65M60 65M20 35L82 65M15 PDF BibTeX XML Cite \textit{S. Sun} et al., J. Henan Norm. Univ., Nat. Sci. 45, No. 1, 1--7 (2017; Zbl 1374.65171) Full Text: DOI OpenURL
Carstensen, C.; Köhler, K. Efficient discrete Lagrange multipliers in three first-order finite element discretizations for the a posteriori error control in an obstacle problem. (English) Zbl 1359.65101 SIAM J. Numer. Anal. 55, No. 1, 349-375 (2017). MSC: 65K15 49J40 49M25 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{K. Köhler}, SIAM J. Numer. Anal. 55, No. 1, 349--375 (2017; Zbl 1359.65101) Full Text: DOI OpenURL
Lee, Chak Shing; Sheen, Dongwoo Nonconforming generalized multiscale finite element methods. (English) Zbl 1382.65411 J. Comput. Appl. Math. 311, 215-229 (2017). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{C. S. Lee} and \textit{D. Sheen}, J. Comput. Appl. Math. 311, 215--229 (2017; Zbl 1382.65411) Full Text: DOI OpenURL
Burman, Erik A stabilized nonconforming finite element method for the elliptic Cauchy problem. (English) Zbl 1351.65074 Math. Comput. 86, No. 303, 75-96 (2017). MSC: 65M60 65M12 65M15 35J15 35R25 65M30 PDF BibTeX XML Cite \textit{E. Burman}, Math. Comput. 86, No. 303, 75--96 (2017; Zbl 1351.65074) Full Text: DOI arXiv OpenURL
Zhang, Sufang; Yan, Hongxia; Jia, Hongen A two-level method for pressure projection stabilized \(P_1\) nonconforming approximation of the semi-linear elliptic equations. (English) Zbl 07405055 Adv. Appl. Math. Mech. 8, No. 3, 386-398 (2016). MSC: 35Q30 74S05 65N30 PDF BibTeX XML Cite \textit{S. Zhang} et al., Adv. Appl. Math. Mech. 8, No. 3, 386--398 (2016; Zbl 07405055) Full Text: DOI OpenURL
Khan, Arbaz; Upadhyay, Chandra Shekhar Exponentially accurate nonconforming least-squares spectral element method for elliptic problems on unbounded domain. (English) Zbl 1425.65164 Comput. Methods Appl. Mech. Eng. 305, 607-633 (2016). MSC: 65N30 65N35 65Y05 PDF BibTeX XML Cite \textit{A. Khan} and \textit{C. S. Upadhyay}, Comput. Methods Appl. Mech. Eng. 305, 607--633 (2016; Zbl 1425.65164) Full Text: DOI OpenURL
Kim, Tae-Yeon; Park, Eun-Jae; Shin, Dong-wook A \(C^0\)-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean. (English) Zbl 1425.74473 Comput. Methods Appl. Mech. Eng. 300, 225-244 (2016). MSC: 74S05 65N30 86A05 PDF BibTeX XML Cite \textit{T.-Y. Kim} et al., Comput. Methods Appl. Mech. Eng. 300, 225--244 (2016; Zbl 1425.74473) Full Text: DOI OpenURL
Hansbo, Peter; Larsson, Fredrik The nonconforming linear strain tetrahedron for a large deformation elasticity problem. (English) Zbl 1398.74334 Comput. Mech. 58, No. 6, 929-935 (2016). MSC: 74S05 74B20 74C99 76M10 76D07 PDF BibTeX XML Cite \textit{P. Hansbo} and \textit{F. Larsson}, Comput. Mech. 58, No. 6, 929--935 (2016; Zbl 1398.74334) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Nicaise} et al., Afr. Mat. 27, No. 3--4, 701--729 (2016; Zbl 1386.74140) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Bachar} and \textit{A. Guessab}, Appl. Anal. Discrete Math. 10, No. 2, 378--393 (2016; Zbl 1474.65434) Full Text: DOI OpenURL
Liu, Dongjie; Hu, Qingye Nonconforming adaptive finite element method for a class of degenerate convex problems. (Chinese. English summary) Zbl 1374.65194 Commun. Appl. Math. Comput. 30, No. 4, 526-535 (2016). MSC: 65N30 35J70 65N15 PDF BibTeX XML Cite \textit{D. Liu} and \textit{Q. Hu}, Commun. Appl. Math. Comput. 30, No. 4, 526--535 (2016; Zbl 1374.65194) Full Text: DOI OpenURL
Zhang, Houchao; Shi, Dongyang; Wang, Yu Superconvergence and extrapolation analysis of an expanded nonconforming mixed finite method for nonlinear fourth-order hyperbolic equation. (Chinese. English summary) Zbl 1374.65175 Math. Appl. 29, No. 4, 769-781 (2016). MSC: 65M60 35L75 65M12 65M20 PDF BibTeX XML Cite \textit{H. Zhang} et al., Math. Appl. 29, No. 4, 769--781 (2016; Zbl 1374.65175) OpenURL
Bachar, Mostafa; Guessab, Allal Characterization of the existence of an enriched linear finite element approximation using biorthogonal systems. (English) Zbl 1416.65431 Result. Math. 70, No. 3-4, 401-413 (2016). MSC: 65N30 65D30 65N15 PDF BibTeX XML Cite \textit{M. Bachar} and \textit{A. Guessab}, Result. Math. 70, No. 3--4, 401--413 (2016; Zbl 1416.65431) Full Text: DOI OpenURL
Capatina, Daniela; Delage Santacreu, Stéphanie; El-Otmany, Hammou; Graebling, Didier Nonconforming finite element approximation of an elliptic interface problem with NXFEM. 2nd edition. (English) Zbl 1351.65087 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 43-52 (2016). MSC: 65N30 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{D. Capatina} et al., Monogr. Mat. García Galdeano 40, 43--52 (2016; Zbl 1351.65087) OpenURL
Yang, Xiaoxia; Shi, Dongyang; Zhang, Fang Superconvergence analysis of a low order nonconforming mixed finite element method for a class of fourth-order parabolic equations. (Chinese. English summary) Zbl 1363.65172 Math. Appl. 29, No. 2, 370-380 (2016). MSC: 65M60 65M12 65M20 35K25 PDF BibTeX XML Cite \textit{X. Yang} et al., Math. Appl. 29, No. 2, 370--380 (2016; Zbl 1363.65172) OpenURL
Liu, Qian; Shi, Dongyang A nonconforming mixed finite element method for dual phase lagging heat conduction equations. (Chinese. English summary) Zbl 1363.65167 J. Henan Norm. Univ., Nat. Sci. 44, No. 2, 15-21 (2016). MSC: 65M60 65M12 65M20 65M15 35K05 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{D. Shi}, J. Henan Norm. Univ., Nat. Sci. 44, No. 2, 15--21 (2016; Zbl 1363.65167) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. Bringmann} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1411--1432 (2016; Zbl 1401.76083) Full Text: DOI OpenURL
Becker, Roland; Capatina, Daniela; Luce, Robert Local flux reconstructions for standard finite element methods on triangular meshes. (English) Zbl 1347.65173 SIAM J. Numer. Anal. 54, No. 4, 2684-2706 (2016). MSC: 65N30 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{R. Becker} et al., SIAM J. Numer. Anal. 54, No. 4, 2684--2706 (2016; Zbl 1347.65173) Full Text: DOI OpenURL
Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier Symmetric coupling of LDG-FEM and DG-BEM. (English) Zbl 1354.65247 J. Sci. Comput. 68, No. 1, 303-325 (2016). Reviewer: Gunther Schmidt (Berlin) MSC: 65N30 65N38 65N12 65N15 35J05 PDF BibTeX XML Cite \textit{N. Heuer} et al., J. Sci. Comput. 68, No. 1, 303--325 (2016; Zbl 1354.65247) Full Text: DOI arXiv OpenURL
Dryja, Maksymilian; Krzyżanowski, Piotr Additive Schwarz methods for DG discretization of elliptic problems with discontinuous coefficient. (English) Zbl 1339.65232 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 167-175 (2016). MSC: 65N55 65N30 PDF BibTeX XML Cite \textit{M. Dryja} and \textit{P. Krzyżanowski}, Lect. Notes Comput. Sci. Eng. 104, 167--175 (2016; Zbl 1339.65232) Full Text: DOI OpenURL
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco The nonconforming virtual element method. (English) Zbl 1343.65140 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 879-904 (2016). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35J05 65N15 65N06 PDF BibTeX XML Cite \textit{B. Ayuso de Dios} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 879--904 (2016; Zbl 1343.65140) Full Text: DOI arXiv OpenURL
Uda, Tomoki Numerical verification for elliptic boundary value problem with nonconforming \(\mathcal{P}_1\) finite elements. (English) Zbl 1354.65256 Nehmeier, Marco (ed.) et al., Scientific computing, computer arithmetic, and validated numerics. 16th international symposium, SCAN 2014, Würzburg, Germany, September 21–26, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-31768-7/pbk; 978-3-319-31769-4/ebook). Lecture Notes in Computer Science 9553, 269-279 (2016). MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{T. Uda}, Lect. Notes Comput. Sci. 9553, 269--279 (2016; Zbl 1354.65256) Full Text: DOI OpenURL