Strouboulis, Theofanis; Wang, Delin; Babuška, Ivo Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries. (English) Zbl 1354.65198 Comput. Methods Appl. Mech. Eng. 241-244, 128-141 (2012). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{T. Strouboulis} et al., Comput. Methods Appl. Mech. Eng. 241--244, 128--141 (2012; Zbl 1354.65198) Full Text: DOI
Liu, Jinghong; Deng, Yijun; Zhu, Qiding High accuracy analysis of tensor-product linear pentahedral finite elements for variable coefficient elliptic equations. (English) Zbl 1306.65268 J. Syst. Sci. Complex. 25, No. 2, 410-416 (2012). MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Syst. Sci. Complex. 25, No. 2, 410--416 (2012; Zbl 1306.65268) Full Text: DOI
Tian, Wanfu; Li, Yonghai Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems. (English) Zbl 1307.65150 J. Syst. Sci. Complex. 25, No. 2, 385-397 (2012). MSC: 65N12 35J25 65N30 65N50 PDFBibTeX XMLCite \textit{W. Tian} and \textit{Y. Li}, J. Syst. Sci. Complex. 25, No. 2, 385--397 (2012; Zbl 1307.65150) Full Text: DOI
Ludwig, Lars; Roos, Hans-Görg Superconvergence for convection-diffusion problems with low regularity. (English) Zbl 1313.65292 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-60-8/pbk). 173-187 (2012). Reviewer: Niall Madden (Galway) MSC: 65N12 65N30 65N15 35B25 35J25 PDFBibTeX XMLCite \textit{L. Ludwig} and \textit{H.-G. Roos}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, May 2--5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 173--187 (2012; Zbl 1313.65292) Full Text: Link
Kleefeld, A. A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions. (English) Zbl 1291.35038 Appl. Math. Comput. 219, No. 4, 2114-2123 (2012). MSC: 35J05 65M70 PDFBibTeX XMLCite \textit{A. Kleefeld}, Appl. Math. Comput. 219, No. 4, 2114--2123 (2012; Zbl 1291.35038) Full Text: DOI
Kleefeld, Andreas; Lin, Tzu-Chu Boundary element collocation method for solving the exterior Neumann problem for Helmholtz’s equation in three dimensions. (English) Zbl 1288.35205 ETNA, Electron. Trans. Numer. Anal. 39, 113-143 (2012). MSC: 35J05 45B05 65N35 65N38 PDFBibTeX XMLCite \textit{A. Kleefeld} and \textit{T.-C. Lin}, ETNA, Electron. Trans. Numer. Anal. 39, 113--143 (2012; Zbl 1288.35205) Full Text: EMIS
Berg, Jens; Nordström, Jan Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. (English) Zbl 1284.65098 J. Comput. Phys. 231, No. 20, 6846-6860 (2012). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, J. Comput. Phys. 231, No. 20, 6846--6860 (2012; Zbl 1284.65098) Full Text: DOI Link
Hou, Tianliang Error estimates and superconvergence of semidiscrete mixed methods for optimal control problems governed by hyperbolic equations. (Russian, English) Zbl 1299.49034 Sib. Zh. Vychisl. Mat. 15, No. 4, 425-440 (2012); translation in Numer. Analysis Appl. 5, No. 4, 348-362 (2012). MSC: 49M25 49N10 49J20 65N30 PDFBibTeX XMLCite \textit{T. Hou}, Sib. Zh. Vychisl. Mat. 15, No. 4, 425--440 (2012; Zbl 1299.49034); translation in Numer. Analysis Appl. 5, No. 4, 348--362 (2012) Full Text: DOI
Andreev, A. B.; Racheva, M. R. Lower bounds for eigenvalues and postprocessing by an integral type nonconforming FEM. (Russian, English) Zbl 1299.35217 Sib. Zh. Vychisl. Mat. 15, No. 3, 235-249 (2012); translation in Numer. Analysis Appl. 5, No. 3, 191-203 (2012). MSC: 35P15 65L60 PDFBibTeX XMLCite \textit{A. B. Andreev} and \textit{M. R. Racheva}, Sib. Zh. Vychisl. Mat. 15, No. 3, 235--249 (2012; Zbl 1299.35217); translation in Numer. Analysis Appl. 5, No. 3, 191--203 (2012) Full Text: DOI
Kleefeld, Andreas The transmission problem for the Helmholtz equation in \(\mathbb R^3\). (English) Zbl 1284.35147 Comput. Methods Appl. Math. 12, No. 3, 330-350 (2012). MSC: 35J05 45B05 65N35 65N38 PDFBibTeX XMLCite \textit{A. Kleefeld}, Comput. Methods Appl. Math. 12, No. 3, 330--350 (2012; Zbl 1284.35147) Full Text: DOI
Zhang, Kai; Li, Jie; Song, Haiming Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays. (English) Zbl 1280.65148 Appl. Math. Comput. 218, No. 22, 10848-10860 (2012). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{K. Zhang} et al., Appl. Math. Comput. 218, No. 22, 10848--10860 (2012; Zbl 1280.65148) Full Text: DOI
Wang, Fenling; Shi, Dongwei; Shi, Dongyang Superconvergence analysis and extrapolation of the Wilson element solution for a quasi-linear Sobolev equation. (Chinese. English summary) Zbl 1289.65204 Chin. J. Eng. Math. 29, No. 5, 720-724 (2012). MSC: 65M12 65M60 65M15 65M20 35K59 PDFBibTeX XMLCite \textit{F. Wang} et al., Chin. J. Eng. Math. 29, No. 5, 720--724 (2012; Zbl 1289.65204)
Zhou, Jiaquan; Sun, Yingde; Zhang, Yongsheng A nonconforming characteristic finite element method for Burgers equations. (Chinese. English summary) Zbl 1289.65238 J. Shandong Univ., Nat. Sci. 47, No. 12, 103-108 (2012). MSC: 65M60 65M15 65M12 35Q53 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Shandong Univ., Nat. Sci. 47, No. 12, 103--108 (2012; Zbl 1289.65238)
Tang, Yuelong; Chen, Yanping Recovery type a posteriori error estimates of fully discrete finite element methods for general convex parabolic optimal control problems. (English) Zbl 1289.65148 Numer. Math., Theory Methods Appl. 5, No. 4, 573-591 (2012). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Chen}, Numer. Math., Theory Methods Appl. 5, No. 4, 573--591 (2012; Zbl 1289.65148) Full Text: DOI
Gao, Jinglu; Li, Jie; Wang, Yunfeng The collocation method for a class of Volterra-integro-differential equations with proportional delays. (Chinese. English summary) Zbl 1289.65286 J. Jilin Univ., Sci. 50, No. 6, 1091-1097 (2012). MSC: 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{J. Gao} et al., J. Jilin Univ., Sci. 50, No. 6, 1091--1097 (2012; Zbl 1289.65286)
Wang, Fenling; Shi, Dongyang A new superconvergence analysis and extrapolation of a Hermite-type finite element for nonlinear sine-Gordon equations. (Chinese. English summary) Zbl 1289.65205 Acta Math. Appl. Sin. 35, No. 5, 777-788 (2012). MSC: 65M12 65M60 65M20 35Q40 65M15 PDFBibTeX XMLCite \textit{F. Wang} and \textit{D. Shi}, Acta Math. Appl. Sin. 35, No. 5, 777--788 (2012; Zbl 1289.65205)
Shi, Yanhua; Shi, Dongyang Superconvergence and extrapolation of the quasi-Wilson nonconforming element method for hyperbolic integro-differential equations. (Chinese. English summary) Zbl 1289.65294 J. Syst. Sci. Math. Sci. 32, No. 7, 880-892 (2012). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{D. Shi}, J. Syst. Sci. Math. Sci. 32, No. 7, 880--892 (2012; Zbl 1289.65294)
Fan, Mingzhi; Wang, Fenling; Shi, Dongyang The bilinear element analysis and extrapolation for nonlinear sine-Gordon equations. (Chinese. English summary) Zbl 1289.65220 Math. Pract. Theory 42, No. 11, 205-213 (2012). MSC: 65M60 35Q40 65M15 PDFBibTeX XMLCite \textit{M. Fan} et al., Math. Pract. Theory 42, No. 11, 205--213 (2012; Zbl 1289.65220)
Wu, Zhiqin; Shi, Dongwei; Wang, Fenling; Shi, Dongyang High accuracy analysis of the nonconforming quasi-Wilson element solution to quasi-linear hyperbolic equations. (Chinese. English summary) Zbl 1289.65207 Math. Pract. Theory 42, No. 10, 192-198 (2012). MSC: 65M15 35L72 65M60 65M12 PDFBibTeX XMLCite \textit{Z. Wu} et al., Math. Pract. Theory 42, No. 10, 192--198 (2012; Zbl 1289.65207)
Lin, Qun; Xie, Hehu A superconvergence result for mixed finite element approximations of the eigenvalue problem. (English) Zbl 1277.65091 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 797-812 (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N25 65N30 35P15 35J25 65N12 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{H. Xie}, ESAIM, Math. Model. Numer. Anal. 46, No. 4, 797--812 (2012; Zbl 1277.65091) Full Text: DOI
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan A multiscale mortar multipoint flux mixed finite element method. (English) Zbl 1275.65082 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759-796 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N06 65N12 65N15 65N22 35J25 65N55 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759--796 (2012; Zbl 1275.65082) Full Text: DOI
Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality. (English) Zbl 1280.65120 J. Sci. Comput. 53, No. 2, 320-341 (2012). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N20 65N45 65N21 35J25 35R25 35R30 65N12 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., J. Sci. Comput. 53, No. 2, 320--341 (2012; Zbl 1280.65120) Full Text: DOI
Ji, Liangyue; Xu, Yan; Ryan, Jennifer K. Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. (English) Zbl 1270.65058 Math. Comput. 81, No. 280, 1929-1950 (2012). MSC: 65M60 35K20 65M12 65M15 PDFBibTeX XMLCite \textit{L. Ji} et al., Math. Comput. 81, No. 280, 1929--1950 (2012; Zbl 1270.65058) Full Text: DOI
Liang, Hongliang; Zhao, Shuli Superconvergence analysis of a finite element to a class of generalized nonlinear sine-Gordon equations. (Chinese. English summary) Zbl 1274.65257 J. Sichuan Norm. Univ., Nat. Sci. 35, No. 5, 610-614 (2012). MSC: 65M12 65M60 35Q40 65M20 PDFBibTeX XMLCite \textit{H. Liang} and \textit{S. Zhao}, J. Sichuan Norm. Univ., Nat. Sci. 35, No. 5, 610--614 (2012; Zbl 1274.65257) Full Text: DOI
Wang, Fenling; Shi, Dongwei High analysis of a Hermite-type rectangular element for a nonlinear hyperbolic equation. (Chinese. English summary) Zbl 1274.65275 J. Shandong Univ., Nat. Sci. 47, No. 10, 89-96 (2012). MSC: 65M60 35L70 65M12 PDFBibTeX XMLCite \textit{F. Wang} and \textit{D. Shi}, J. Shandong Univ., Nat. Sci. 47, No. 10, 89--96 (2012; Zbl 1274.65275)
Chen, Yanping; Hou, Tianliang Superconvergence and \(L^\infty\)-error estimates of RT1 mixed methods for semilinear elliptic control problems with an integral constraint. (English) Zbl 1274.49005 Numer. Math., Theory Methods Appl. 5, No. 3, 423-446 (2012). MSC: 49J20 65N30 65N12 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{T. Hou}, Numer. Math., Theory Methods Appl. 5, No. 3, 423--446 (2012; Zbl 1274.49005) Full Text: DOI
Zhang, Zhigang; Li, Xiuzhen; Li, Jin Application of the rectangle rule to approximate hypersingular integrals. (Chinese. English summary) Zbl 1274.65077 J. Nat. Sci. Heilongjiang Univ. 29, No. 4, 426-430 (2012). MSC: 65D32 65N38 41A55 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Nat. Sci. Heilongjiang Univ. 29, No. 4, 426--430 (2012; Zbl 1274.65077)
Wang, Haihong; Shi, Dongyang A nonconforming finite element method for nonlinear hyperbolic type equations. (Chinese. English summary) Zbl 1274.65276 Math. Pract. Theory 42, No. 4, 211-216 (2012). MSC: 65M60 35L70 65M15 65M12 PDFBibTeX XMLCite \textit{H. Wang} and \textit{D. Shi}, Math. Pract. Theory 42, No. 4, 211--216 (2012; Zbl 1274.65276)
Wang, Fenling; Shi, Dongyang; Chen, Jinhuan Analysis of quasi-Wilson nonconforming element for nonlinear parabolic integro-differential equation. (Chinese. English summary) Zbl 1274.65344 Math. Appl. 25, No. 4, 923-935 (2012). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{F. Wang} et al., Math. Appl. 25, No. 4, 923--935 (2012; Zbl 1274.65344)
Shi, Dongyang; Tang, Qili; Dong, Xiaojing Superconvergence analysis of \(H^1\)-Galerkin mixed finite element method for strongly damped wave equations. (Chinese. English summary) Zbl 1274.65259 Math. Numer. Sin. 34, No. 3, 317-328 (2012). MSC: 65M12 65M60 35L70 65M20 65M15 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 34, No. 3, 317--328 (2012; Zbl 1274.65259)
Shi, Dongyang; Guan, Hongbo; Guan, Xiaofei Superconvergence analysis of finite element method for a second-type variational inequality. (English) Zbl 1268.65089 J. Appl. Math. 2012, Article ID 156095, 12 p. (2012). MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Appl. Math. 2012, Article ID 156095, 12 p. (2012; Zbl 1268.65089) Full Text: DOI
Yu, Haiyuan; Huang, Yunqing Asympototic expansion and superconvergence for triangular linear finite element on a class of typical mesh. (English) Zbl 1268.65145 Int. J. Numer. Anal. Model. 9, No. 4, 892-906 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N30 65N50 35J05 PDFBibTeX XMLCite \textit{H. Yu} and \textit{Y. Huang}, Int. J. Numer. Anal. Model. 9, No. 4, 892--906 (2012; Zbl 1268.65145) Full Text: Link
Chen, Yanping; Hou, Tianliang; Zheng, Weishan Error estimates and superconvergence of mixed finite element methods for optimal control problems with low regularity. (English) Zbl 1262.49008 Adv. Appl. Math. Mech. 4, No. 6, 751-768 (2012). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. Mech. 4, No. 6, 751--768 (2012; Zbl 1262.49008) Full Text: DOI
Liang, Hui; Brunner, Hermann Collocation methods for differential equations with piecewise linear delays. (English) Zbl 1264.65124 Commun. Pure Appl. Anal. 11, No. 5, 1839-1857 (2012). MSC: 65L60 65L03 34K28 65L20 PDFBibTeX XMLCite \textit{H. Liang} and \textit{H. Brunner}, Commun. Pure Appl. Anal. 11, No. 5, 1839--1857 (2012; Zbl 1264.65124) Full Text: DOI
Allouch, C.; Sablonnière, P.; Sbibih, D.; Tahrichi, M. Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind. (English) Zbl 1261.65136 J. Integral Equations Appl. 24, No. 4, 463-485 (2012). MSC: 65R20 45A05 45B05 PDFBibTeX XMLCite \textit{C. Allouch} et al., J. Integral Equations Appl. 24, No. 4, 463--485 (2012; Zbl 1261.65136) Full Text: DOI Euclid
Yang, Yang; Shu, Chi-Wang Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. (English) Zbl 1276.65055 SIAM J. Numer. Anal. 50, No. 6, 3110-3133 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M60 65M15 35L65 35L04 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 50, No. 6, 3110--3133 (2012; Zbl 1276.65055) Full Text: DOI
Zhang, Zhimin Superconvergence points of polynomial spectral interpolation. (English) Zbl 1262.65020 SIAM J. Numer. Anal. 50, No. 6, 2966-2985 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A10 33C45 PDFBibTeX XMLCite \textit{Z. Zhang}, SIAM J. Numer. Anal. 50, No. 6, 2966--2985 (2012; Zbl 1262.65020) Full Text: DOI arXiv
Liang, Hui; Brunner, Hermann Discrete superconvergence of collocation solutions for first-kind Volterra integral equations. (English) Zbl 1259.65216 J. Integral Equations Appl. 24, No. 3, 359-391 (2012). MSC: 65R20 45D05 45A05 PDFBibTeX XMLCite \textit{H. Liang} and \textit{H. Brunner}, J. Integral Equations Appl. 24, No. 3, 359--391 (2012; Zbl 1259.65216) Full Text: DOI Euclid
Fan, Mingzhi; Zhang, Jianjun; Shi, Dongyang Hermite-type finite element analysis for nonlinear dispersion-dissipative wave equations. (English) Zbl 1265.65197 Math. Appl. 25, No. 2, 341-349 (2012). MSC: 65M60 65M20 35L70 65M12 PDFBibTeX XMLCite \textit{M. Fan} et al., Math. Appl. 25, No. 2, 341--349 (2012; Zbl 1265.65197)
Wang, Pingli; Shi, Yanhua; Shi, Dongyang Superconvergence analysis and extrapolations for the generalized nerve conductive equations. (Chinese. English summary) Zbl 1265.65171 J. Northwest Norm. Univ., Nat. Sci. 48, No. 1, 22-25, 32 (2012). MSC: 65M12 65M60 92C20 35Q92 65M15 65M20 PDFBibTeX XMLCite \textit{P. Wang} et al., J. Northwest Norm. Univ., Nat. Sci. 48, No. 1, 22--25, 32 (2012; Zbl 1265.65171)
Chen, Jinhuan; Wang, Lina; Shi, Dongyang A nonconforming finite element for nonlinear fourth-order hyperbolic equations. (Chinese. English summary) Zbl 1265.65196 J. Henan Norm. Univ., Nat. Sci. 40, No. 1, 1-6 (2012). MSC: 65M60 35L75 65M15 65M12 65M20 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Henan Norm. Univ., Nat. Sci. 40, No. 1, 1--6 (2012; Zbl 1265.65196)
Zhou, Jiaquan; Shi, Dongwei; Zhang, Yongsheng An \(H^1\)-Galerkin nonconforming mixed finite element method for the solution of the Schrödinger equation. (Chinese. English summary) Zbl 1265.65207 J. Anhui Univ., Nat. Sci. 36, No. 1, 38-43 (2012). MSC: 65M60 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Anhui Univ., Nat. Sci. 36, No. 1, 38--43 (2012; Zbl 1265.65207)
Zhang, Tie; Li, Zheng Superconvergence of the discontinuous finite element method for solving first-order hyperbolic problems. (Chinese. English summary) Zbl 1265.65176 J. Northeast. Univ., Nat. Sci. 33, No. 1, 149-152 (2012). MSC: 65M12 35L02 65M60 65M15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Z. Li}, J. Northeast. Univ., Nat. Sci. 33, No. 1, 149--152 (2012; Zbl 1265.65176)
Fazeli, Somayyeh; Hojjati, Gholamreza; Shahmorad, Sedaghat Super implicit multistep collocation methods for nonlinear Volterra integral equations. (English) Zbl 1255.65240 Math. Comput. Modelling 55, No. 3-4, 590-607 (2012). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{S. Fazeli} et al., Math. Comput. Modelling 55, No. 3--4, 590--607 (2012; Zbl 1255.65240) Full Text: DOI
Cockburn, Bernardo; Guzmán, Johnny; Sayas, Francisco-Javier Coupling of Raviart-Thomas and hybridizable discontinuous Galerkin methods with BEM. (English) Zbl 1260.65101 SIAM J. Numer. Anal. 50, No. 5, 2778-2801 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N38 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{B. Cockburn} et al., SIAM J. Numer. Anal. 50, No. 5, 2778--2801 (2012; Zbl 1260.65101) Full Text: DOI Link
Lv, Junliang; Li, Yonghai Optimal biquadratic finite volume element methods on quadrilateral meshes. (English) Zbl 1263.65117 SIAM J. Numer. Anal. 50, No. 5, 2379-2399 (2012). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. Lv} and \textit{Y. Li}, SIAM J. Numer. Anal. 50, No. 5, 2379--2399 (2012; Zbl 1263.65117) Full Text: DOI
Meng, Xiong; Shu, Chi-Wang; Zhang, Qiang; Wu, Boying Superconvergence of discontinuous Galerkin methods for scalar nonlinear conservation laws in one space dimension. (English) Zbl 1267.65115 SIAM J. Numer. Anal. 50, No. 5, 2336-2356 (2012). Reviewer: Pavel Burda (Praha) MSC: 65M12 65M60 35L65 65M15 PDFBibTeX XMLCite \textit{X. Meng} et al., SIAM J. Numer. Anal. 50, No. 5, 2336--2356 (2012; Zbl 1267.65115) Full Text: DOI Link
Kleefeld, Andreas The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions. (English) Zbl 1278.35058 Int. J. Comput. Math. 89, No. 17, 2392-2409 (2012). Reviewer: Giuseppe Di Fazio (Catania) MSC: 35J05 45B05 65N35 65N38 PDFBibTeX XMLCite \textit{A. Kleefeld}, Int. J. Comput. Math. 89, No. 17, 2392--2409 (2012; Zbl 1278.35058) Full Text: DOI
Adjerid, Slimane; Baccouch, Mahboub A superconvergent local discontinuous Galerkin method for elliptic problems. (English) Zbl 1255.65207 J. Sci. Comput. 52, No. 1, 113-152 (2012). MSC: 65N30 PDFBibTeX XMLCite \textit{S. Adjerid} and \textit{M. Baccouch}, J. Sci. Comput. 52, No. 1, 113--152 (2012; Zbl 1255.65207) Full Text: DOI
Celiker, Fatih; Fan, Li; Zhang, Sheng; Zhang, Zhimin Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model. (English) Zbl 1311.74111 J. Sci. Comput. 52, No. 1, 49-84 (2012). MSC: 74S05 65L60 74K10 PDFBibTeX XMLCite \textit{F. Celiker} et al., J. Sci. Comput. 52, No. 1, 49--84 (2012; Zbl 1311.74111) Full Text: DOI
Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. (English) Zbl 1255.65194 J. Sci. Comput. 52, No. 3, 519-545 (2012). MSC: 65N08 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Sci. Comput. 52, No. 3, 519--545 (2012; Zbl 1255.65194) Full Text: DOI
Lv, Junliang; Li, Yonghai \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes. (English) Zbl 1255.65198 Adv. Comput. Math. 37, No. 3, 393-416 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 65N08 PDFBibTeX XMLCite \textit{J. Lv} and \textit{Y. Li}, Adv. Comput. Math. 37, No. 3, 393--416 (2012; Zbl 1255.65198) Full Text: DOI
Liu, Huipo; Yan, Ningning Enhancing finite element approximation for eigenvalue problems by projection method. (English) Zbl 1253.74107 Comput. Methods Appl. Mech. Eng. 233-236, 81-91 (2012). MSC: 74S05 74R99 65N30 74K20 65N12 PDFBibTeX XMLCite \textit{H. Liu} and \textit{N. Yan}, Comput. Methods Appl. Mech. Eng. 233--236, 81--91 (2012; Zbl 1253.74107) Full Text: DOI
Shakourifar, Mohammad; Enright, Wayne Superconvergent interpolants for collocation methods applied to Volterra integro-differential equations with delay. (English) Zbl 1255.65250 BIT 52, No. 3, 725-740 (2012). MSC: 65R20 45J05 45D05 45G10 PDFBibTeX XMLCite \textit{M. Shakourifar} and \textit{W. Enright}, BIT 52, No. 3, 725--740 (2012; Zbl 1255.65250) Full Text: DOI
Guan, Qingguang; Zhang, Ran; Zou, Yongkui Analysis of collocation solutions for nonstandard Volterra integral equations. (English) Zbl 1259.65214 IMA J. Numer. Anal. 32, No. 4, 1755-1785 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{Q. Guan} et al., IMA J. Numer. Anal. 32, No. 4, 1755--1785 (2012; Zbl 1259.65214) Full Text: DOI
Meng, Xiong; Shu, Chi-Wang; Wu, Boying Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension. (English) Zbl 1258.65083 IMA J. Numer. Anal. 32, No. 4, 1294-1328 (2012). Reviewer: Qin Mengzhao (Beijing) MSC: 65M12 65M60 65M15 35Q35 35K35 PDFBibTeX XMLCite \textit{X. Meng} et al., IMA J. Numer. Anal. 32, No. 4, 1294--1328 (2012; Zbl 1258.65083) Full Text: DOI Link
Chen, Yanlai; Cockburn, Bernardo Analysis of variable-degree HDG methods for convection-diffusion equations. I: General nonconforming meshes. (English) Zbl 1277.65094 IMA J. Numer. Anal. 32, No. 4, 1267-1293 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 35J25 65N50 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{B. Cockburn}, IMA J. Numer. Anal. 32, No. 4, 1267--1293 (2012; Zbl 1277.65094) Full Text: DOI
Laxmi Panigrahi, Bijaya; Nelakanti, Gnaneshwar Richardson extrapolation of iterated discrete Galerkin method for eigenvalue problem of a two dimensional compact integral operator. (English) Zbl 1257.65075 J. Sci. Comput. 51, No. 2, 421-448 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65B05 45C05 PDFBibTeX XMLCite \textit{B. Laxmi Panigrahi} and \textit{G. Nelakanti}, J. Sci. Comput. 51, No. 2, 421--448 (2012; Zbl 1257.65075) Full Text: DOI
Chou, So-Hsiang An immersed linear finite element method with interface flux capturing recovery. (English) Zbl 1262.65168 Discrete Contin. Dyn. Syst., Ser. B 17, No. 7, 2343-2357 (2012). Reviewer: Nina Shokina (Freiburg) MSC: 65N30 65N15 35J60 65N12 PDFBibTeX XMLCite \textit{S.-H. Chou}, Discrete Contin. Dyn. Syst., Ser. B 17, No. 7, 2343--2357 (2012; Zbl 1262.65168) Full Text: DOI
Liu, Jinghong Superconvergence analysis of cubic block finite elements of intermediate families. (English) Zbl 1261.65111 J. Comput. Anal. Appl. 14, No. 1, 173-180 (2012). Reviewer: Gunther Schmidt (Berlin) MSC: 65N12 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{J. Liu}, J. Comput. Anal. Appl. 14, No. 1, 173--180 (2012; Zbl 1261.65111)
Cheng, Aijie; Wang, Kaixin; Wang, Hong Superconvergence for a time-discretization procedure for the mixed finite element approximation of miscible displacement in porous media. (English) Zbl 1345.76079 Numer. Methods Partial Differ. Equations 28, No. 4, 1382-1398 (2012). MSC: 76M10 76S05 65M60 65M12 PDFBibTeX XMLCite \textit{A. Cheng} et al., Numer. Methods Partial Differ. Equations 28, No. 4, 1382--1398 (2012; Zbl 1345.76079) Full Text: DOI
Cockburn, Bernardo; Qiu, Weifeng; Shi, Ke Superconvergent HDG methods on isoparametric elements for second-order elliptic problems. (English) Zbl 1256.65093 SIAM J. Numer. Anal. 50, No. 3, 1417-1432 (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{B. Cockburn} et al., SIAM J. Numer. Anal. 50, No. 3, 1417--1432 (2012; Zbl 1256.65093) Full Text: DOI
Brunner, Hermann; Davies, Penny J.; Duncan, Dugald B. Global convergence and local superconvergence of first-kind Volterra integral equation approximations. (English) Zbl 1252.65208 IMA J. Numer. Anal. 32, No. 3, 1117-1146 (2012). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{H. Brunner} et al., IMA J. Numer. Anal. 32, No. 3, 1117--1146 (2012; Zbl 1252.65208) Full Text: DOI
Lin, Runchang; Zhang, Zhimin Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems. (English) Zbl 1248.65081 J. Comput. Appl. Math. 236, No. 17, 4436-4447 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L20 65L60 65L70 65L10 34B15 PDFBibTeX XMLCite \textit{R. Lin} and \textit{Z. Zhang}, J. Comput. Appl. Math. 236, No. 17, 4436--4447 (2012; Zbl 1248.65081) Full Text: DOI
Baccouch, Mahboub A local discontinuous Galerkin method for the second-order wave equation. (English) Zbl 1243.65119 Comput. Methods Appl. Mech. Eng. 209-212, 129-143 (2012). MSC: 65M60 PDFBibTeX XMLCite \textit{M. Baccouch}, Comput. Methods Appl. Mech. Eng. 209--212, 129--143 (2012; Zbl 1243.65119) Full Text: DOI
Yang, Jiming; Chen, Yanping Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem. (English) Zbl 1243.76064 Appl. Math. Modelling 36, No. 3, 1106-1113 (2012). MSC: 76M10 76S05 65M60 65M12 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Y. Chen}, Appl. Math. Modelling 36, No. 3, 1106--1113 (2012; Zbl 1243.76064) Full Text: DOI
Cockburn, Bernardo; Qiu, Weifeng; Shi, Ke Conditions for superconvergence of HDG methods for second-order elliptic problems. (English) Zbl 1251.65158 Math. Comput. 81, No. 279, 1327-1353 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Math. Comput. 81, No. 279, 1327--1353 (2012; Zbl 1251.65158) Full Text: DOI
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo To CG or to HDG: A comparative study. (English) Zbl 1244.65174 J. Sci. Comput. 51, No. 1, 183-212 (2012). MSC: 65N30 65N12 65N55 35J05 PDFBibTeX XMLCite \textit{R. M. Kirby} et al., J. Sci. Comput. 51, No. 1, 183--212 (2012; Zbl 1244.65174) Full Text: DOI
Cheng, Aijie; Ren, Yongqiang; Xi, Kaihua A time-stepping procedure based on convolution for the mixed finite element approximation for porous media flow. (English) Zbl 1359.76180 Appl. Math. Comput. 218, No. 9, 5319-5326 (2012). MSC: 76M10 76S05 65M60 65M12 PDFBibTeX XMLCite \textit{A. Cheng} et al., Appl. Math. Comput. 218, No. 9, 5319--5326 (2012; Zbl 1359.76180) Full Text: DOI
Celiker, Fatih; Zhang, Zhimin; Zhu, Huiqing Nodal superconvergence of SDFEM for singularly perturbed problems. (English) Zbl 1244.65109 J. Sci. Comput. 50, No. 2, 405-433 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L10 65L60 65L11 34B15 65L50 65L20 34E15 PDFBibTeX XMLCite \textit{F. Celiker} et al., J. Sci. Comput. 50, No. 2, 405--433 (2012; Zbl 1244.65109) Full Text: DOI
He, Wen-Ming; Chen, Wei-Qiu; Zhu, Qi-Ding Local superconvergence of the derivative for tensor-product block FEM. (English) Zbl 1244.65158 Numer. Methods Partial Differ. Equations 28, No. 2, 457-475 (2012). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{W.-M. He} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 457--475 (2012; Zbl 1244.65158) Full Text: DOI
Shi, Dongyang; Ren, Jincheng; Gong, Wei Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem. (English) Zbl 1330.65182 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3493-3502 (2012). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{D. Shi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3493--3502 (2012; Zbl 1330.65182) Full Text: DOI
Durán, R. G.; Lombardi, A. L.; Prieto, M. I. Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes. (English) Zbl 1245.65157 IMA J. Numer. Anal. 32, No. 2, 511-533 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N50 35J25 PDFBibTeX XMLCite \textit{R. G. Durán} et al., IMA J. Numer. Anal. 32, No. 2, 511--533 (2012; Zbl 1245.65157) Full Text: DOI Link
Naga, Ahmed; Zhang, Zhimin Function value recovery and its application in eigenvalue problems. (English) Zbl 1246.65214 SIAM J. Numer. Anal. 50, No. 1, 272-286 (2012). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N25 35P15 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{A. Naga} and \textit{Z. Zhang}, SIAM J. Numer. Anal. 50, No. 1, 272--286 (2012; Zbl 1246.65214) Full Text: DOI Link
He, Wen-Ming; Guan, Xiao-Fei; Cui, Jun-Zhi The local superconvergence of the trilinear element for the three-dimensional Poisson problem. (English) Zbl 1237.65115 J. Math. Anal. Appl. 388, No. 2, 863-872 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{W.-M. He} et al., J. Math. Anal. Appl. 388, No. 2, 863--872 (2012; Zbl 1237.65115) Full Text: DOI
Chabaud, Brandon; Cockburn, Bernardo Uniform-in-time superconvergence of HDG methods for the heat equation. (English) Zbl 1251.65138 Math. Comput. 81, No. 277, 107-129 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{B. Chabaud} and \textit{B. Cockburn}, Math. Comput. 81, No. 277, 107--129 (2012; Zbl 1251.65138) Full Text: DOI
Li, Jian; Mei, Liquan; Chen, Zhangxin Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh \(L^2\) projection. (English) Zbl 1234.65038 Numer. Methods Partial Differ. Equations 28, No. 1, 115-126 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35Q30 76M10 76D07 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 28, No. 1, 115--126 (2012; Zbl 1234.65038) Full Text: DOI