Brenner, Susanne C.; Jeong, SeongHee; Sung, Li-yeng; Tan, Zhiyu \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints. (English) Zbl 07801613 Comput. Math. Appl. 155, 80-90 (2024). MSC: 65-XX 49-XX PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Math. Appl. 155, 80--90 (2024; Zbl 07801613) Full Text: DOI
Zhao, Jikun; Chen, Teng; Zhang, Bei; Dong, Xiaojing The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem. (English) Zbl 07795706 Calcolo 61, No. 1, Paper No. 10, 23 p. (2024). MSC: 65N30 65N12 65N15 35J58 PDFBibTeX XMLCite \textit{J. Zhao} et al., Calcolo 61, No. 1, Paper No. 10, 23 p. (2024; Zbl 07795706) Full Text: DOI
Zheng, Jihui; Cao, Waixiang; An, Jing A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain. (English) Zbl 07801663 Comput. Math. Appl. 152, 221-238 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{J. Zheng} et al., Comput. Math. Appl. 152, 221--238 (2023; Zbl 07801663) Full Text: DOI
Diegel, Amanda E.; Sharma, Natasha S. Unconditional energy stability and solvability for a C0 interior penalty method for a sixth-order equation modeling microemulsions. (English) Zbl 07793804 Int. J. Numer. Anal. Model. 20, No. 4, 459-477 (2023). MSC: 65M60 74N20 74S05 PDFBibTeX XMLCite \textit{A. E. Diegel} and \textit{N. S. Sharma}, Int. J. Numer. Anal. Model. 20, No. 4, 459--477 (2023; Zbl 07793804) Full Text: DOI
Diegel, Amanda E.; Sharma, Natasha S. A \(\mathrm{C}^0\) interior penalty method for the phase field crystal equation. (English) Zbl 07777016 Numer. Methods Partial Differ. Equations 39, No. 3, 2510-2537 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. E. Diegel} and \textit{N. S. Sharma}, Numer. Methods Partial Differ. Equations 39, No. 3, 2510--2537 (2023; Zbl 07777016) Full Text: DOI arXiv
Bacciocchi, Michele; Fantuzzi, Nicholas On the mapping procedure based on higher-order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity. (English) Zbl 07773181 Int. J. Numer. Methods Eng. 124, No. 11, 2552-2570 (2023). MSC: 74S05 74K20 74E30 PDFBibTeX XMLCite \textit{M. Bacciocchi} and \textit{N. Fantuzzi}, Int. J. Numer. Methods Eng. 124, No. 11, 2552--2570 (2023; Zbl 07773181) Full Text: DOI
Colomés, Oriol; Verdugo, Francesc; Akkerman, Ido A monolithic finite element formulation for the hydroelastic analysis of very large floating structures. (English) Zbl 07769181 Int. J. Numer. Methods Eng. 124, No. 3, 714-751 (2023). MSC: 65Nxx 74Fxx 74Hxx PDFBibTeX XMLCite \textit{O. Colomés} et al., Int. J. Numer. Methods Eng. 124, No. 3, 714--751 (2023; Zbl 07769181) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{Y. Zha} et al., Appl. Numer. Math. 193, 67--82 (2023; Zbl 1528.65038) Full Text: DOI
Dong, Z.; Mascotto, L. \(hp\)-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 07708372 J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023). MSC: 65N30 65N50 65N12 65N15 31A30 76D07 35Q35 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{L. Mascotto}, J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023; Zbl 07708372) Full Text: DOI arXiv
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin Superconvergence analysis of \(C^m\) finite element methods for fourth-order elliptic equations. I: One dimensional case. (English) Zbl 1514.65165 Commun. Comput. Phys. 33, No. 5, 1466-1508 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{W. Cao} et al., Commun. Comput. Phys. 33, No. 5, 1466--1508 (2023; Zbl 1514.65165) Full Text: DOI
Liao, Yulei; Ming, Pingbing; Xu, Yun Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. (English) Zbl 07698899 J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023). MSC: 65N30 65N15 65N12 74K20 74B10 35B25 35J15 35A15 35A01 35A02 35Q74 PDFBibTeX XMLCite \textit{Y. Liao} et al., J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023; Zbl 07698899) Full Text: DOI arXiv
Xia, Jingmin; Farrell, Patrick E. Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals. (English) Zbl 1524.76026 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 693-716 (2023). MSC: 76A15 49J10 35B45 65N12 65N30 PDFBibTeX XMLCite \textit{J. Xia} and \textit{P. E. Farrell}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 693--716 (2023; Zbl 1524.76026) Full Text: DOI arXiv
Zhao, Jikun; Mao, Shipeng; Zhang, Bei; Wang, Fei The interior penalty virtual element method for the biharmonic problem. (English) Zbl 1511.65132 Math. Comput. 92, No. 342, 1543-1574 (2023). MSC: 65N30 65F35 65N85 65N12 31A30 PDFBibTeX XMLCite \textit{J. Zhao} et al., Math. Comput. 92, No. 342, 1543--1574 (2023; Zbl 1511.65132) Full Text: DOI
Baccouch, Mahboub A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. (English) Zbl 1512.65150 Numer. Algorithms 92, No. 4, 1983-2023 (2023). MSC: 65L10 65L20 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Numer. Algorithms 92, No. 4, 1983--2023 (2023; Zbl 1512.65150) Full Text: DOI
Zhang, Run; Cheng, Jiahao; Chen, Tingrui; Zhong, Hongzhi A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity. (English) Zbl 1510.74135 Eur. J. Mech., A, Solids 99, Article ID 104912, 19 p. (2023). MSC: 74S99 74S05 74K10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Eur. J. Mech., A, Solids 99, Article ID 104912, 19 p. (2023; Zbl 1510.74135) Full Text: DOI
Zhu, Peng; Xie, Shenglan; Wang, Xiaoshen A stabilizer-free \(C^0\) weak Galerkin method for the biharmonic equations. (English) Zbl 1509.65120 Sci. China, Math. 66, No. 3, 627-646 (2023). MSC: 65N30 65N15 31A30 PDFBibTeX XMLCite \textit{P. Zhu} et al., Sci. China, Math. 66, No. 3, 627--646 (2023; Zbl 1509.65120) Full Text: DOI arXiv
Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis. (English) Zbl 1505.65266 Appl. Numer. Math. 184, 567-580 (2023). MSC: 65M60 65M06 65N30 65M12 35R09 35B35 45K05 45E10 PDFBibTeX XMLCite \textit{H. Mohammadi-Firouzjaei} et al., Appl. Numer. Math. 184, 567--580 (2023; Zbl 1505.65266) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng; Wang, Kening Additive Schwarz preconditioners for \(C^0\) Interior penalty methods for the obstacle problem of clamped Kirchhoff plates. (English) Zbl 07775896 Numer. Methods Partial Differ. Equations 38, No. 1, 102-117 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 102--117 (2022; Zbl 07775896) Full Text: DOI
Barceló-Mercader, Jordi; Codony, David; Fernández-Méndez, Sonia; Arias, Irene Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems. (English) Zbl 07767252 Int. J. Numer. Methods Eng. 123, No. 4, 901-923 (2022). MSC: 74S99 74F15 PDFBibTeX XMLCite \textit{J. Barceló-Mercader} et al., Int. J. Numer. Methods Eng. 123, No. 4, 901--923 (2022; Zbl 07767252) Full Text: DOI OA License
Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng A \(C^0\) interior penalty method for \(m\)th-Laplace equation. (English) Zbl 1503.65290 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2081-2103 (2022). MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{H. Chen} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2081--2103 (2022; Zbl 1503.65290) Full Text: DOI arXiv
Farrell, Patrick E.; Hamdan, Abdalaziz; MacLachlan, Scott P. A new mixed finite-element method for \(H^2\) elliptic problems. (English) Zbl 1504.65254 Comput. Math. Appl. 128, 300-319 (2022). MSC: 65N30 35Jxx 65F08 PDFBibTeX XMLCite \textit{P. E. Farrell} et al., Comput. Math. Appl. 128, 300--319 (2022; Zbl 1504.65254) Full Text: DOI arXiv
Hoppe, Ronald H. W. A \(\mathrm{C}^0\) Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of \(p\)-biharmonic type. (English) Zbl 07609839 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051-2079 (2022). MSC: 65-XX 35K35 35K55 65M60 PDFBibTeX XMLCite \textit{R. H. W. Hoppe}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051--2079 (2022; Zbl 07609839) Full Text: DOI
Antonietti, Paola F.; Scacchi, Simone; Vacca, Giuseppe; Verani, Marco \(C^1 \)-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. (English) Zbl 1497.65160 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1919-1939 (2022). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1919--1939 (2022; Zbl 1497.65160) Full Text: DOI arXiv
Dong, Zhaonan; Ern, Alexandre Hybrid high-order and weak Galerkin methods for the biharmonic problem. (English) Zbl 1501.65111 SIAM J. Numer. Anal. 60, No. 5, 2626-2656 (2022). MSC: 65N30 65N15 31A30 74K20 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{A. Ern}, SIAM J. Numer. Anal. 60, No. 5, 2626--2656 (2022; Zbl 1501.65111) Full Text: DOI arXiv
Wang, Yue; Meng, Xiangyun; Li, Yonghai The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems. (English) Zbl 1497.65208 J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022). MSC: 65N08 65N12 65N15 65N55 35B25 35B35 35J75 35J30 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022; Zbl 1497.65208) Full Text: DOI
Dassi, Franco; Velásquez, Iván Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. (English) Zbl 1524.65785 Comput. Math. Appl. 121, 85-101 (2022). MSC: 65N30 65N25 65N15 65N12 74S05 31A30 74H45 35A15 65N35 PDFBibTeX XMLCite \textit{F. Dassi} and \textit{I. Velásquez}, Comput. Math. Appl. 121, 85--101 (2022; Zbl 1524.65785) Full Text: DOI
Banks, J. W.; Buckner, B. Brett; Hagstrom, T. Continuous/discontinuous Galerkin difference discretizations of high-order differential operators. (English) Zbl 1502.65112 J. Sci. Comput. 92, No. 2, Paper No. 45, 23 p. (2022). MSC: 65M60 65M06 74K10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{J. W. Banks} et al., J. Sci. Comput. 92, No. 2, Paper No. 45, 23 p. (2022; Zbl 1502.65112) Full Text: DOI
Balcells-Quintana, Oscar; Codony, David; Fernández-Méndez, Sonia C0-IPM with generalised periodicity and application to flexoelectricity-based 2D metamaterials. (English) Zbl 1496.65206 J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74B10 74F15 74S05 35Q74 PDFBibTeX XMLCite \textit{O. Balcells-Quintana} et al., J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022; Zbl 1496.65206) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. (English) Zbl 1493.65237 Appl. Numer. Math. 178, 155-165 (2022). MSC: 65N30 65N50 65N15 35J05 31A30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 178, 155--165 (2022; Zbl 1493.65237) Full Text: DOI
Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. (English) Zbl 1486.65242 Commun. Comput. Phys. 31, No. 5, 1434-1466 (2022). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{H. Chen} et al., Commun. Comput. Phys. 31, No. 5, 1434--1466 (2022; Zbl 1486.65242) Full Text: DOI arXiv
Grekas, Georgios; Koumatos, Konstantinos; Makridakis, Charalambos; Rosakis, Phoebus Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: \(\Gamma\)-convergence analysis. (English) Zbl 1489.65159 SIAM J. Numer. Anal. 60, No. 2, 715-750 (2022). MSC: 65N30 65N12 49J45 74G65 74L15 74B20 92C10 46E30 PDFBibTeX XMLCite \textit{G. Grekas} et al., SIAM J. Numer. Anal. 60, No. 2, 715--750 (2022; Zbl 1489.65159) Full Text: DOI arXiv
Xi, Yingxia; Ji, Xia A new method using \(C^0\)IPG for the biharmonic eigenvalue problem. (English) Zbl 1490.65257 J. Sci. Comput. 90, No. 3, Paper No. 81, 18 p. (2022). MSC: 65N25 65N30 47B07 PDFBibTeX XMLCite \textit{Y. Xi} and \textit{X. Ji}, J. Sci. Comput. 90, No. 3, Paper No. 81, 18 p. (2022; Zbl 1490.65257) Full Text: DOI
Carstensen, Carsten; Nataraj, Neela Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41-78 (2022). MSC: 65N30 65N12 65N15 65N50 31A30 74K20 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{N. Nataraj}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41--78 (2022; Zbl 1483.65177) Full Text: DOI arXiv
Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. (English) Zbl 1507.74500 Comput. Methods Appl. Mech. Eng. 388, Article ID 114240, 35 p. (2022). MSC: 74S05 65N30 74K10 PDFBibTeX XMLCite \textit{T.-H. Nguyen} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114240, 35 p. (2022; Zbl 1507.74500) Full Text: DOI arXiv
Cai, Ying; Chen, Jinru; Wang, Nan A Nitsche extended finite element method for the biharmonic interface problem. (English) Zbl 1506.74393 Comput. Methods Appl. Mech. Eng. 382, Article ID 113880, 24 p. (2021). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{Y. Cai} et al., Comput. Methods Appl. Mech. Eng. 382, Article ID 113880, 24 p. (2021; Zbl 1506.74393) Full Text: DOI
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. (English) Zbl 1487.65131 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 969-991 (2021). MSC: 65M32 76Q05 65M60 65M06 65N30 65K10 65M12 65M15 93B27 35R30 PDFBibTeX XMLCite \textit{E. Burman} et al., ESAIM, Math. Model. Numer. Anal. 55, 969--991 (2021; Zbl 1487.65131) Full Text: DOI arXiv
Li, Hongliang; Ming, Pingbing; Wang, Huiyu \(H^2\)-Korn’s inequality and the nonconforming elements for the strain gradient elastic model. (English) Zbl 1493.65213 J. Sci. Comput. 88, No. 3, Paper No. 78, 23 p. (2021). MSC: 65N30 74B10 74S05 35A23 PDFBibTeX XMLCite \textit{H. Li} et al., J. Sci. Comput. 88, No. 3, Paper No. 78, 23 p. (2021; Zbl 1493.65213) Full Text: DOI arXiv
Ventura, Jordi; Codony, David; Fernández-Méndez, Sonia A C0 interior penalty finite element method for flexoelectricity. (English) Zbl 1493.65233 J. Sci. Comput. 88, No. 3, Paper No. 88, 24 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 74F15 74B10 74S05 78A30 78M10 35G15 PDFBibTeX XMLCite \textit{J. Ventura} et al., J. Sci. Comput. 88, No. 3, Paper No. 88, 24 p. (2021; Zbl 1493.65233) Full Text: DOI arXiv
Lopes, N. D.; de Oliveira, H. B. Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem. (English) Zbl 1524.65842 Comput. Math. Appl. 97, 122-152 (2021). MSC: 65N30 76M10 65N15 35J40 76D07 65N12 35D30 35Q35 PDFBibTeX XMLCite \textit{N. D. Lopes} and \textit{H. B. de Oliveira}, Comput. Math. Appl. 97, 122--152 (2021; Zbl 1524.65842) Full Text: DOI
Torabi, Jalal; Niiranen, Jarkko; Ansari, Reza Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory. (English) Zbl 1484.74073 Eur. J. Mech., A, Solids 87, Article ID 104221, 20 p. (2021). MSC: 74S05 74K20 74B99 PDFBibTeX XMLCite \textit{J. Torabi} et al., Eur. J. Mech., A, Solids 87, Article ID 104221, 20 p. (2021; Zbl 1484.74073) Full Text: DOI
Liu, Zhixin; Song, Shicang An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem. (English) Zbl 1524.65839 Comput. Math. Appl. 96, 77-94 (2021). MSC: 65N30 65N15 35J40 74S05 35J25 65D30 74B10 74K20 35Q74 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{S. Song}, Comput. Math. Appl. 96, 77--94 (2021; Zbl 1524.65839) Full Text: DOI
Gfrerer, Michael H. A \(C^1\)-continuous trace-finite-cell-method for linear thin shell analysis on implicitly defined surfaces. (English) Zbl 07360524 Comput. Mech. 67, No. 2, 679-697 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{M. H. Gfrerer}, Comput. Mech. 67, No. 2, 679--697 (2021; Zbl 07360524) Full Text: DOI arXiv
Dong, Zhaonan; Mascotto, Lorenzo; Sutton, Oliver J. Residual-based a posteriori error estimates for \(hp\)-discontinuous Galerkin discretizations of the biharmonic problem. (English) Zbl 1473.65297 SIAM J. Numer. Anal. 59, No. 3, 1273-1298 (2021). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv
Benzaken, Joseph; Evans, John A.; McCormick, Stephen F.; Tamstorf, Rasmus Nitsche’s method for linear Kirchhoff-Love shells: formulation, error analysis, and verification. (English) Zbl 1506.74185 Comput. Methods Appl. Mech. Eng. 374, Article ID 113544, 52 p. (2021). MSC: 74K25 35Q74 74S22 PDFBibTeX XMLCite \textit{J. Benzaken} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113544, 52 p. (2021; Zbl 1506.74185) Full Text: DOI arXiv
Lederer, Philip L. A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions. (English) Zbl 1466.65196 SIAM J. Numer. Anal. 59, No. 1, 503-524 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{P. L. Lederer}, SIAM J. Numer. Anal. 59, No. 1, 503--524 (2021; Zbl 1466.65196) Full Text: DOI arXiv
Almuthaybiri, Saleh S.; Tisdell, Christopher C. Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis. (English) Zbl 1475.34019 Open Math. 18, 1006-1024 (2020). MSC: 34B15 PDFBibTeX XMLCite \textit{S. S. Almuthaybiri} and \textit{C. C. Tisdell}, Open Math. 18, 1006--1024 (2020; Zbl 1475.34019) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu A cubic \(C^{\mathbf{0}}\) interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints. (English) Zbl 1464.49021 Results Appl. Math. 7, Article ID 100119, 19 p. (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49N10 49J40 65K10 65N15 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Results Appl. Math. 7, Article ID 100119, 19 p. (2020; Zbl 1464.49021) Full Text: DOI
McBride, A. T.; Davydov, D.; Steinmann, P. Modelling the flexoelectric effect in solids: a micromorphic approach. (English) Zbl 1506.74121 Comput. Methods Appl. Mech. Eng. 371, Article ID 113320, 19 p. (2020). MSC: 74F15 74S05 PDFBibTeX XMLCite \textit{A. T. McBride} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113320, 19 p. (2020; Zbl 1506.74121) Full Text: DOI arXiv
Al Balushi, Ibrahim; Jiang, Wen; Tsogtgerel, Gantumur; Kim, Tae-Yeon A posteriori analysis of a B-spline based finite-element method for the stationary quasi-geostrophic equations of the ocean. (English) Zbl 1506.86002 Comput. Methods Appl. Mech. Eng. 371, Article ID 113317, 30 p. (2020). MSC: 86-08 76M10 65M60 65D07 65M15 76U05 86A05 PDFBibTeX XMLCite \textit{I. Al Balushi} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113317, 30 p. (2020; Zbl 1506.86002) Full Text: DOI
Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro A \(C^1\) virtual element method on polyhedral meshes. (English) Zbl 1454.65161 Comput. Math. Appl. 79, No. 7, 1936-1955 (2020). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Math. Appl. 79, No. 7, 1936--1955 (2020; Zbl 1454.65161) Full Text: DOI arXiv
Jalušić, Boris; Jarak, Tomislav; Sorić, Jurica Mixed meshless local Petrov-Galerkin (MLPG) collocation methods for gradient elasticity theories of Helmholtz type. (English) Zbl 1464.74395 Comput. Mech. 66, No. 3, 575-602 (2020). MSC: 74S99 74B99 PDFBibTeX XMLCite \textit{B. Jalušić} et al., Comput. Mech. 66, No. 3, 575--602 (2020; Zbl 1464.74395) Full Text: DOI
Brenner, Susanne C. Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey). (English) Zbl 1440.49037 Acu, Bahar (ed.) et al., Advances in mathematical sciences. AWM research symposium, Houston, TX, USA, April 6–7, 2019. Cham: Springer. Assoc. Women Math. Ser. 21, 3-16 (2020). MSC: 49M25 65K15 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner}, Assoc. Women Math. Ser. 21, 3--16 (2020; Zbl 1440.49037) Full Text: DOI arXiv
de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. (English) Zbl 1446.65193 Comput. Math. Appl. 80, No. 2, 386-394 (2020). MSC: 65N55 42A38 31A30 PDFBibTeX XMLCite \textit{A. P. de la Riva} et al., Comput. Math. Appl. 80, No. 2, 386--394 (2020; Zbl 1446.65193) Full Text: DOI
Civalek, O.; Jalaei, M. H. Buckling of carbon nanotube (CNT)-reinforced composite skew plates by the discrete singular convolution method. (English) Zbl 1436.74048 Acta Mech. 231, No. 6, 2565-2587 (2020). MSC: 74M25 74K20 74E30 PDFBibTeX XMLCite \textit{O. Civalek} and \textit{M. H. Jalaei}, Acta Mech. 231, No. 6, 2565--2587 (2020; Zbl 1436.74048) Full Text: DOI
Vo, Duy; Nanakorn, Pruettha Geometrically nonlinear multi-patch isogeometric analysis of planar curved Euler-Bernoulli beams. (English) Zbl 1442.74108 Comput. Methods Appl. Mech. Eng. 366, Article ID 113078, 23 p. (2020). MSC: 74K10 65D07 74S05 65N30 74S22 PDFBibTeX XMLCite \textit{D. Vo} and \textit{P. Nanakorn}, Comput. Methods Appl. Mech. Eng. 366, Article ID 113078, 23 p. (2020; Zbl 1442.74108) Full Text: DOI
Yang, Y. B.; Liu, Yazhou; Wu, Y. T. Invariant isogeometric formulations for three-dimensional Kirchhoff rods. (English) Zbl 1442.74109 Comput. Methods Appl. Mech. Eng. 365, Article ID 112996, 27 p. (2020). MSC: 74K10 74S05 65D07 65N30 74S22 PDFBibTeX XMLCite \textit{Y. B. Yang} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112996, 27 p. (2020; Zbl 1442.74109) Full Text: DOI
Li, Hao; Bi, Hai; Yang, Yidu The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. (English) Zbl 1437.65173 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775-1789 (2020). MSC: 65N25 65N30 65N55 65N50 65F15 31A30 PDFBibTeX XMLCite \textit{H. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775--1789 (2020; Zbl 1437.65173) Full Text: DOI
Kim, Tae-Yeon; Jiang, Wen; Lee, Sungmun; Song, Jeong-Hoon; Yeun, Chan Yeob; Park, Eun-Jae A Nitsche-type variational formulation for the shape deformation of a single component vesicle. (English) Zbl 1441.65106 Comput. Methods Appl. Mech. Eng. 359, Article ID 112661, 17 p. (2020). MSC: 65N30 49J10 49J45 PDFBibTeX XMLCite \textit{T.-Y. Kim} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112661, 17 p. (2020; Zbl 1441.65106) Full Text: DOI
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A new \(P_1\) weak Galerkin method for the biharmonic equation. (English) Zbl 1427.65342 J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020). MSC: 65N15 65N30 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020; Zbl 1427.65342) Full Text: DOI
Hoppe, Ronald H. W.; Winkle, James J. Numerical solution of a phase field model for polycrystallization processes in binary mixtures. (English) Zbl 07704876 Comput. Vis. Sci. 20, No. 1-2, 13-27 (2019). MSC: 65Nxx PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{J. J. Winkle}, Comput. Vis. Sci. 20, No. 1--2, 13--27 (2019; Zbl 07704876) Full Text: DOI
Chai, Shimin; Zou, Yongkui; Zhao, Wenju A weak Galerkin method with \(C^0\) element for fourth order linear parabolic equation. (English) Zbl 1488.60165 Adv. Appl. Math. Mech. 11, No. 2, 467-485 (2019). MSC: 60H15 65C30 65M60 PDFBibTeX XMLCite \textit{S. Chai} et al., Adv. Appl. Math. Mech. 11, No. 2, 467--485 (2019; Zbl 1488.60165) Full Text: DOI
Xu, Minqiang; Guo, Hailong; Zou, Qingsong Hessian recovery based finite element methods for the Cahn-Hilliard equation. (English) Zbl 1452.65255 J. Comput. Phys. 386, 524-540 (2019). MSC: 65M60 65Z05 35B36 PDFBibTeX XMLCite \textit{M. Xu} et al., J. Comput. Phys. 386, 524--540 (2019; Zbl 1452.65255) Full Text: DOI arXiv
Cockburn, Bernardo; Shen, Jiguang An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity. (English) Zbl 1451.74205 Results Appl. Math. 1, Article ID 100001, 19 p. (2019). MSC: 74S05 74B20 65N12 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{J. Shen}, Results Appl. Math. 1, Article ID 100001, 19 p. (2019; Zbl 1451.74205) Full Text: DOI
Banz, Lothar; Petsche, Jan; Schröder, Andreas \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem. (English) Zbl 1442.65346 Comput. Math. Appl. 77, No. 9, 2463-2488 (2019). MSC: 65N30 65N12 35J40 PDFBibTeX XMLCite \textit{L. Banz} et al., Comput. Math. Appl. 77, No. 9, 2463--2488 (2019; Zbl 1442.65346) Full Text: DOI
Li, Huiyuan; Shan, Weikun; Zhang, Zhimin \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. (English) Zbl 1449.65334 Commun. Appl. Math. Comput. 1, No. 3, 403-434 (2019). MSC: 65N35 41A10 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Appl. Math. Comput. 1, No. 3, 403--434 (2019; Zbl 1449.65334) Full Text: DOI
Huang, Jianguo; Huang, Xuehai A two-level additive Schwarz preconditioner for local \(C^0\) discontinuous Galerkin methods of Kirchhoff plates. (English) Zbl 1449.65313 Commun. Appl. Math. Comput. 1, No. 2, 167-185 (2019). MSC: 65N30 65N55 74K20 PDFBibTeX XMLCite \textit{J. Huang} and \textit{X. Huang}, Commun. Appl. Math. Comput. 1, No. 2, 167--185 (2019; Zbl 1449.65313) Full Text: DOI
Li, Ruo; Sun, Zhiyuan; Yang, Fanyi Solving eigenvalue problems in a discontinuous approximation space by patch reconstruction. (English) Zbl 1446.65174 SIAM J. Sci. Comput. 41, No. 5, A3381-A3400 (2019). MSC: 65N30 49N45 65N21 PDFBibTeX XMLCite \textit{R. Li} et al., SIAM J. Sci. Comput. 41, No. 5, A3381--A3400 (2019; Zbl 1446.65174) Full Text: DOI arXiv
Boudjaj, Loubna; Naji, Ahmed; Ghafrani, Fatima Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method. (English) Zbl 1464.65195 Eng. Anal. Bound. Elem. 107, 208-217 (2019). MSC: 65N35 49K20 49M25 PDFBibTeX XMLCite \textit{L. Boudjaj} et al., Eng. Anal. Bound. Elem. 107, 208--217 (2019; Zbl 1464.65195) Full Text: DOI
Fan, Ronghong; Liu, Yanru; Zhang, Shuo Mixed schemes for fourth-order DIV equations. (English) Zbl 1421.76154 Comput. Methods Appl. Math. 19, No. 2, 341-357 (2019). MSC: 76M10 65N30 35Q60 76E25 76W05 PDFBibTeX XMLCite \textit{R. Fan} et al., Comput. Methods Appl. Math. 19, No. 2, 341--357 (2019; Zbl 1421.76154) Full Text: DOI
Hoppe, Ronald H. W.; Linsenmann, Christopher \(\mathrm{C}^0\)-interior penalty discontinuous Galerkin approximation of a sixth-order Cahn-Hilliard equation modeling microemulsification processes. (English) Zbl 1418.65131 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 297-325 (2019). MSC: 65M60 65M15 65L80 65L06 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{C. Linsenmann}, Comput. Methods Appl. Sci. 47, 297--325 (2019; Zbl 1418.65131) Full Text: DOI
Eptaimeros, K. G.; Koutsoumaris, C. Chr.; Tsamasphyros, G. J. Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts. (English) Zbl 1451.74188 Appl. Numer. Math. 144, 118-139 (2019). MSC: 74M25 74K10 65N30 74S05 PDFBibTeX XMLCite \textit{K. G. Eptaimeros} et al., Appl. Numer. Math. 144, 118--139 (2019; Zbl 1451.74188) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Huang} and \textit{X. Huang}, J. Sci. Comput. 78, No. 1, 290--320 (2019; Zbl 1412.65217) Full Text: DOI
Borković, A.; Kovačević, S.; Radenković, G.; Milovanović, S.; Guzijan-Dilber, M. Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam. (English) Zbl 1440.74180 Comput. Methods Appl. Mech. Eng. 334, 238-267 (2018). MSC: 74K10 74S05 65D07 65N30 PDFBibTeX XMLCite \textit{A. Borković} et al., Comput. Methods Appl. Mech. Eng. 334, 238--267 (2018; Zbl 1440.74180) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D.-w. Shin} et al., Comput. Methods Appl. Mech. Eng. 328, 321--339 (2018; Zbl 1439.86007) Full Text: DOI
Ahn, Jeongho; Lee, Seulip; Park, Eun-Jae \( \mathcal{C}^0\) interior penalty methods for a dynamic nonlinear beam model. (English) Zbl 1428.74111 Appl. Math. Comput. 339, 685-700 (2018). MSC: 74K10 74S05 65M60 35L75 35Q74 65M22 PDFBibTeX XMLCite \textit{J. Ahn} et al., Appl. Math. Comput. 339, 685--700 (2018; Zbl 1428.74111) Full Text: DOI
Moore, Stephen Edward Discontinuous Galerkin isogeometric analysis for the biharmonic equation. (English) Zbl 1428.65092 Comput. Math. Appl. 76, No. 4, 673-685 (2018). MSC: 65N30 65N15 65D07 35J40 31A30 PDFBibTeX XMLCite \textit{S. E. Moore}, Comput. Math. Appl. 76, No. 4, 673--685 (2018; Zbl 1428.65092) Full Text: DOI arXiv
Xi, Yingxia; Ji, Xia; Geng, Hongrui A C\(^{0}\)IP method of transmission eigenvalues for elastic waves. (English) Zbl 1416.65427 J. Comput. Phys. 374, 237-248 (2018). MSC: 65N25 74J25 65N30 74J20 74S05 PDFBibTeX XMLCite \textit{Y. Xi} et al., J. Comput. Phys. 374, 237--248 (2018; Zbl 1416.65427) Full Text: DOI
Kirby, Robert C. A general approach to transforming finite elements. (English) Zbl 1416.65456 SMAI J. Comput. Math. 4, 197-224 (2018). MSC: 65N30 PDFBibTeX XMLCite \textit{R. C. Kirby}, SMAI J. Comput. Math. 4, 197--224 (2018; Zbl 1416.65456) Full Text: DOI arXiv
Liu, Hailiang; Yin, Peimeng A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems. (English) Zbl 1407.65168 J. Sci. Comput. 77, No. 1, 467-501 (2018). MSC: 65M60 65M15 35J40 35Q35 65M12 65M06 PDFBibTeX XMLCite \textit{H. Liu} and \textit{P. Yin}, J. Sci. Comput. 77, No. 1, 467--501 (2018; Zbl 1407.65168) Full Text: DOI arXiv
Sidhardh, Sai; Ray, M. C. Element-free Galerkin model of nano-beams considering strain gradient elasticity. (English) Zbl 1397.74120 Acta Mech. 229, No. 7, 2765-2786 (2018). MSC: 74K10 74M25 65N30 PDFBibTeX XMLCite \textit{S. Sidhardh} and \textit{M. C. Ray}, Acta Mech. 229, No. 7, 2765--2786 (2018; Zbl 1397.74120) Full Text: DOI
Li, Hao; Yang, Yidu An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1402.65147 Sci. China, Math. 61, No. 8, 1519-1542 (2018). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Yang}, Sci. China, Math. 61, No. 8, 1519--1542 (2018; Zbl 1402.65147) Full Text: DOI arXiv
Wang, Wenqing; Huang, Xuehai; Tang, Kai; Zhou, Ruiyue Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem. (English) Zbl 1397.65296 Adv. Comput. Math. 44, No. 4, 1041-1061 (2018). MSC: 65N30 65N15 35J40 35J35 35B25 PDFBibTeX XMLCite \textit{W. Wang} et al., Adv. Comput. Math. 44, No. 4, 1041--1061 (2018; Zbl 1397.65296) Full Text: DOI arXiv
Chen, Long; Hu, Jun; Huang, Xuehai Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems. (English) Zbl 1404.65300 J. Sci. Comput. 76, No. 2, 673-696 (2018). MSC: 65N55 35Q74 74K20 65N12 65N30 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Sci. Comput. 76, No. 2, 673--696 (2018; Zbl 1404.65300) Full Text: DOI arXiv
Dong, Haixia; Ying, Wenjun; Zhang, Jiwei A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations. (English) Zbl 1398.65350 J. Comput. Appl. Math. 344, 624-639 (2018). MSC: 65R20 65N30 PDFBibTeX XMLCite \textit{H. Dong} et al., J. Comput. Appl. Math. 344, 624--639 (2018; Zbl 1398.65350) Full Text: DOI
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-yeng \(C^0\) interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints. (English) Zbl 1396.49003 SIAM J. Numer. Anal. 56, No. 3, 1758-1785 (2018). Reviewer: Kurt Marti (München) MSC: 49J20 65N30 49J40 49M25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., SIAM J. Numer. Anal. 56, No. 3, 1758--1785 (2018; Zbl 1396.49003) Full Text: DOI
Li, Hao; Yang, Yidu \(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem. (English) Zbl 1402.65146 Numer. Algorithms 78, No. 2, 553-567 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65N25 65N30 65F15 31A30 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Yang}, Numer. Algorithms 78, No. 2, 553--567 (2018; Zbl 1402.65146) Full Text: DOI
Homsi, Lina; Noels, Ludovic A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials. (English) Zbl 1388.74125 Meccanica 53, No. 6, 1357-1401 (2018). MSC: 74S30 65M60 74F15 74F10 74M05 PDFBibTeX XMLCite \textit{L. Homsi} and \textit{L. Noels}, Meccanica 53, No. 6, 1357--1401 (2018; Zbl 1388.74125) Full Text: DOI Link
Zhang, Shuo Regular decomposition and a framework of order reduced methods for fourth order problems. (English) Zbl 1383.35074 Numer. Math. 138, No. 1, 241-271 (2018). MSC: 35J35 65N30 PDFBibTeX XMLCite \textit{S. Zhang}, Numer. Math. 138, No. 1, 241--271 (2018; Zbl 1383.35074) Full Text: DOI arXiv
Reese, S.; Bayat, H. R.; Wulfinghoff, S. On an equivalence between a discontinuous Galerkin method and reduced integration with hourglass stabilization for finite elasticity. (English) Zbl 1439.74052 Comput. Methods Appl. Mech. Eng. 325, 175-197 (2017). MSC: 74B20 65N30 74S05 PDFBibTeX XMLCite \textit{S. Reese} et al., Comput. Methods Appl. Mech. Eng. 325, 175--197 (2017; Zbl 1439.74052) Full Text: DOI
Wulfinghoff, Stephan; Bayat, Hamid Reza; Alipour, Atefeh; Reese, Stefanie A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations. (English) Zbl 1439.74476 Comput. Methods Appl. Mech. Eng. 323, 353-372 (2017). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{S. Wulfinghoff} et al., Comput. Methods Appl. Mech. Eng. 323, 353--372 (2017; Zbl 1439.74476) Full Text: DOI
Niiranen, Jarkko; Kiendl, Josef; Niemi, Antti H.; Reali, Alessandro Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates. (English) Zbl 1439.74037 Comput. Methods Appl. Mech. Eng. 316, 328-348 (2017). MSC: 74A60 74K20 35J35 35J40 65N12 65N15 35Q74 PDFBibTeX XMLCite \textit{J. Niiranen} et al., Comput. Methods Appl. Mech. Eng. 316, 328--348 (2017; Zbl 1439.74037) Full Text: DOI
Mu, Lin; Wang, Junping; Ye, Xiu Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. (English) Zbl 1397.65283 Comput. Math. Appl. 74, No. 6, 1215-1222 (2017). MSC: 65N30 35J40 PDFBibTeX XMLCite \textit{L. Mu} et al., Comput. Math. Appl. 74, No. 6, 1215--1222 (2017; Zbl 1397.65283) Full Text: DOI arXiv
Hansbo, Peter; Larson, Mats G. Continuous/discontinuous finite element modelling of Kirchhoff plate structures in \(\mathbb {R}^3\) using tangential differential calculus. (English) Zbl 1386.74087 Comput. Mech. 60, No. 4, 693-702 (2017). MSC: 74K20 74S05 65N30 PDFBibTeX XMLCite \textit{P. Hansbo} and \textit{M. G. Larson}, Comput. Mech. 60, No. 4, 693--702 (2017; Zbl 1386.74087) Full Text: DOI arXiv
Wang, Chunmei; Zhou, Haomin A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography. (English) Zbl 1375.65156 J. Sci. Comput. 71, No. 3, 897-918 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 35J40 65N12 PDFBibTeX XMLCite \textit{C. Wang} and \textit{H. Zhou}, J. Sci. Comput. 71, No. 3, 897--918 (2017; Zbl 1375.65156) Full Text: DOI arXiv
Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. (English) Zbl 1370.65068 J. Comput. Appl. Math. 326, 71-86 (2017). MSC: 65N25 65N15 65N30 35J05 35P15 78A46 78M10 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Appl. Math. 326, 71--86 (2017; Zbl 1370.65068) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints. (English) Zbl 1370.49006 SIAM J. Control Optim. 55, No. 4, 2289-2304 (2017). MSC: 49J40 49J20 65K15 65N30 49J45 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-y. Sung}, SIAM J. Control Optim. 55, No. 4, 2289--2304 (2017; Zbl 1370.49006) Full Text: DOI
Wang, Peizhen; Jiang, Liying; Chen, Shaochun A nonconforming scheme for non-Fickian flow in porous media. (English) Zbl 1366.76073 J. Inequal. Appl. 2017, Paper No. 142, 16 p. (2017). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{P. Wang} et al., J. Inequal. Appl. 2017, Paper No. 142, 16 p. (2017; Zbl 1366.76073) Full Text: DOI
Larsson, Karl; Larson, Mats G. A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces. (English) Zbl 1368.65233 Math. Comput. 86, No. 308, 2613-2649 (2017). MSC: 65N30 58J32 35J30 65N15 PDFBibTeX XMLCite \textit{K. Larsson} and \textit{M. G. Larson}, Math. Comput. 86, No. 308, 2613--2649 (2017; Zbl 1368.65233) Full Text: DOI arXiv
Gallistl, Dietmar Stable splitting of polyharmonic operators by generalized Stokes systems. (English) Zbl 1369.31012 Math. Comput. 86, No. 308, 2555-2577 (2017). MSC: 31B30 31B35 35J30 65N30 PDFBibTeX XMLCite \textit{D. Gallistl}, Math. Comput. 86, No. 308, 2555--2577 (2017; Zbl 1369.31012) Full Text: DOI Link
Höhne, Katharina; Franz, Sebastian; Waurick, Marcus A solution decomposition for a singularly perturbed fourth-order problem. (English) Zbl 1368.35022 Analysis, München 37, No. 2, 77-100 (2017). MSC: 35B25 35C20 35G15 PDFBibTeX XMLCite \textit{K. Höhne} et al., Analysis, München 37, No. 2, 77--100 (2017; Zbl 1368.35022) Full Text: DOI arXiv Link