Wei, Leilei; He, Yinnian Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. (English) Zbl 1427.65267 Appl. Math. Modelling 38, No. 4, 1511-1522 (2014). MSC: 65M60 35R11 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Y. He}, Appl. Math. Modelling 38, No. 4, 1511--1522 (2014; Zbl 1427.65267) Full Text: DOI
Baccouch, Mahboub Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems. (English) Zbl 1354.65186 Appl. Math. Comput. 226, 455-483 (2014). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{M. Baccouch}, Appl. Math. Comput. 226, 455--483 (2014; Zbl 1354.65186) Full Text: DOI
Chou, Ching-Shan; Shu, Chi-Wang; Xing, Yulong Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. (English) Zbl 1349.65446 J. Comput. Phys. 272, 88-107 (2014). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{C.-S. Chou} et al., J. Comput. Phys. 272, 88--107 (2014; Zbl 1349.65446) Full Text: DOI
Kröner, Dietmar; Ružička, Michael; Toulopoulos, Ioannis Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by \(p\)-Navier-Stokes equations. (English) Zbl 1349.76228 J. Comput. Phys. 270, 182-202 (2014). MSC: 76M10 65M60 76A05 PDFBibTeX XMLCite \textit{D. Kröner} et al., J. Comput. Phys. 270, 182--202 (2014; Zbl 1349.76228) Full Text: DOI
Chen, Huangxin; Lu, Peipei; Xu, Xuejun A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation. (English) Zbl 1349.65613 J. Comput. Phys. 264, 133-151 (2014). MSC: 65N30 65N12 78M25 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 264, 133--151 (2014; Zbl 1349.65613) Full Text: DOI arXiv
Guo, Ruihan; Xia, Yinhua; Xu, Yan An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1349.76211 J. Comput. Phys. 264, 23-40 (2014). MSC: 76M10 65M60 65M12 76D27 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Comput. Phys. 264, 23--40 (2014; Zbl 1349.76211) Full Text: DOI
Baccouch, Mahboub Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension. (English) Zbl 1350.65097 Comput. Math. Appl. 67, No. 5, 1130-1153 (2014). MSC: 65M12 65M15 65M60 35K20 PDFBibTeX XMLCite \textit{M. Baccouch}, Comput. Math. Appl. 67, No. 5, 1130--1153 (2014; Zbl 1350.65097) Full Text: DOI
Baccouch, Mahboub Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory. (English) Zbl 1463.65285 Int. J. Numer. Anal. Model., Ser. B 5, No. 3, 188-216 (2014). MSC: 65M60 65N30 74K10 65M12 65M15 35Q74 74H45 65M50 74S05 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Numer. Anal. Model., Ser. B 5, No. 3, 188--216 (2014; Zbl 1463.65285)
Wei, Leilei; Dai, Huiya; Zhang, Dingling; Si, Zhiyong Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation. (English) Zbl 1311.35331 Calcolo 51, No. 1, 175-192 (2014). MSC: 35Q99 65M60 65M06 26A33 35R11 PDFBibTeX XMLCite \textit{L. Wei} et al., Calcolo 51, No. 1, 175--192 (2014; Zbl 1311.35331) Full Text: DOI
Guo, Hui; Zhang, Qinghua; Yang, Yang A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media. (English) Zbl 1426.76264 Sci. China, Math. 57, No. 11, 2301-2320 (2014). MSC: 76M10 76S05 65M15 65M60 PDFBibTeX XMLCite \textit{H. Guo} et al., Sci. China, Math. 57, No. 11, 2301--2320 (2014; Zbl 1426.76264) Full Text: DOI
Dai, Huiya; Wei, Leilei; Zhang, Xindong Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation. (English) Zbl 1307.65130 Numer. Algorithms 67, No. 4, 845-862 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35R11 35M13 65M12 65M15 PDFBibTeX XMLCite \textit{H. Dai} et al., Numer. Algorithms 67, No. 4, 845--862 (2014; Zbl 1307.65130) Full Text: DOI
Zhang, Xindong; He, Yinnian; Wei, Leilei; Tang, Bo; Wang, Shaoli A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher’s equation. (English) Zbl 1304.35713 Int. J. Comput. Math. 91, No. 9, 2021-2038 (2014). MSC: 35Q92 65M12 65M60 35R11 26A33 PDFBibTeX XMLCite \textit{X. Zhang} et al., Int. J. Comput. Math. 91, No. 9, 2021--2038 (2014; Zbl 1304.35713) Full Text: DOI
Baccouch, Mahboub The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. II: A posteriori error estimation. (English) Zbl 1462.65137 J. Sci. Comput. 60, No. 1, 1-34 (2014). MSC: 65M60 65M12 65M15 65M50 74S05 35Q74 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Sci. Comput. 60, No. 1, 1--34 (2014; Zbl 1462.65137) Full Text: DOI
Diening, Lars; Kröner, Dietmar; Růžička, Michael; Toulopoulos, Ioannis A local discontinuous Galerkin approximation for systems with \(p\)-structure. (English) Zbl 1305.65227 IMA J. Numer. Anal. 34, No. 4, 1447-1488 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 35J92 65N15 35J70 PDFBibTeX XMLCite \textit{L. Diening} et al., IMA J. Numer. Anal. 34, No. 4, 1447--1488 (2014; Zbl 1305.65227) Full Text: DOI
Šebestová, Ivana A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation. (English) Zbl 1324.65119 Appl. Math., Praha 59, No. 2, 121-144 (2014). MSC: 65M15 65M60 35K05 65M06 PDFBibTeX XMLCite \textit{I. Šebestová}, Appl. Math., Praha 59, No. 2, 121--144 (2014; Zbl 1324.65119) Full Text: DOI Link
Baccouch, Mahboub The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. I: Superconvergence error analysis. (English) Zbl 1297.74112 J. Sci. Comput. 59, No. 3, 795-840 (2014). MSC: 74S05 65N30 35Q74 74K10 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Sci. Comput. 59, No. 3, 795--840 (2014; Zbl 1297.74112) Full Text: DOI
Guo, Ruihan; Xu, Yan Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations. (English) Zbl 1296.65134 J. Sci. Comput. 58, No. 2, 380-408 (2014). MSC: 65M60 35K55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, J. Sci. Comput. 58, No. 2, 380--408 (2014; Zbl 1296.65134) Full Text: DOI
Zhou, Z. J.; Yan, N. N. A survey of numerical methods for convection-diffusion optimal control problems. (English) Zbl 1294.65072 J. Numer. Math. 22, No. 1, 61-85 (2014). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. J. Zhou} and \textit{N. N. Yan}, J. Numer. Math. 22, No. 1, 61--85 (2014; Zbl 1294.65072) Full Text: DOI
Hufford, Casey; Xing, Yulong Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. (English) Zbl 1291.65301 J. Comput. Appl. Math. 255, 441-455 (2014). MSC: 65M60 65M12 35Q53 PDFBibTeX XMLCite \textit{C. Hufford} and \textit{Y. Xing}, J. Comput. Appl. Math. 255, 441--455 (2014; Zbl 1291.65301) Full Text: DOI
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method applied to the one-dimensional second-order wave equation. (English) Zbl 1301.65098 Numer. Methods Partial Differ. Equations 30, No. 3, 862-901 (2014). Reviewer: Petr Sváček (Praha) MSC: 65M12 65M60 35L05 65M15 PDFBibTeX XMLCite \textit{M. Baccouch}, Numer. Methods Partial Differ. Equations 30, No. 3, 862--901 (2014; Zbl 1301.65098) Full Text: DOI
Zhu, Peng; Xie, Shenglan Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type. (English) Zbl 1288.65156 Appl. Numer. Math. 76, 48-59 (2014). MSC: 65N12 35J25 35B25 65N30 65N50 PDFBibTeX XMLCite \textit{P. Zhu} and \textit{S. Xie}, Appl. Numer. Math. 76, 48--59 (2014; Zbl 1288.65156) Full Text: DOI
Zhou, Zhaojie; Yu, Xiaoming; Yan, Ningning Local discontinuous Galerkin approximation of convection-dominated diffusion optimal control problems with control constraints. (English) Zbl 1284.65081 Numer. Methods Partial Differ. Equations 30, No. 1, 339-360 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 339--360 (2014; Zbl 1284.65081) Full Text: DOI