المؤلفون: Liu, Liping, Křížek, Michal, Lin, Tao, Zhang, Shuhua

المصدر: SIAM Journal on Numerical Analysis, 2005 Jan 01. 42(4), 1729-1744.

URL الوصول: https://www.jstor.org/stable/4101333

المؤلفون: Wei, Yabing, Lü, Shujuan, Wang, Fenling, Liu, F., Zhao, Yanmin

المصدر: Computers and Mathematics with Applications

مصطلحات موضوعية: Anisotropic nonconforming FEM, Global superconvergence, L2-1 scheme, Time fractional reaction-diffusion equation

Relation: Wei, Yabing, Lü, Shujuan, Wang, Fenling, Liu, F., & Zhao, Yanmin (2022) Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data. Computers and Mathematics with Applications, 119, pp. 159-173.; https://eprints.qut.edu.au/239921/; Faculty of Science; School of Mathematical Sciences

الاتاحة: https://eprints.qut.edu.au/239921/

المؤلفون: Lin, Qun, Huang, Hung-Tsai, Li, Zi-Cai

المصدر: Mathematics of Computation, 2008 Oct 01. 77(264), 2061-2084.

URL الوصول: https://www.jstor.org/stable/40234601

المؤلفون: Hung-tsai Huanga, Zi-cai Lib, Qun Line

المساهمون: The Pennsylvania State University CiteSeerX Archives

المصدر: http://web.math.isu.edu.tw/huanght/files/research/2008_jcam_2008_07_v217(9-27).pdf.

مصطلحات موضوعية: Bilinear elements, Rotated bilinear element, The extension of rotated bilinear element, Wilson’s element, Eigenvalue problem, Extrapolation, Global superconvergence

وصف الملف: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.3402; http://web.math.isu.edu.tw/huanght/files/research/2008_jcam_2008_07_v217(9-27).pdf

الاتاحة: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.3402
http://web.math.isu.edu.tw/huanght/files/research/2008_jcam_2008_07_v217(9-27).pdf

المؤلفون: Qun Lin, Shu Hua Zhang, Shuhua Zhang

المساهمون: The Pennsylvania State University CiteSeerX Archives

المصدر: http://dml.cz/bitstream/handle/10338.dmlcz/134341/AplMat_42-1997-1_1.pdf.

مصطلحات موضوعية: integrodifferential equations, global superconvergence, immediate analysis MSC 2000, 65B05, 65N30

وصف الملف: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.465.1597; http://dml.cz/bitstream/handle/10338.dmlcz/134341/AplMat_42-1997-1_1.pdf

الاتاحة: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.465.1597
http://dml.cz/bitstream/handle/10338.dmlcz/134341/AplMat_42-1997-1_1.pdf

المؤلفون: Zhang, Tie, Zhang, Shuhua

مصطلحات موضوعية: keyword:finite volume method, keyword:nonlinear elliptic problem, keyword:local and global superconvergence in the $W^{1,\infty }$-norm, keyword:a posteriori error estimator, msc:65M15, msc:65M60

وصف الملف: application/pdf

Relation: mr:MR3396481; zbl:Zbl 06486926; reference:[1] Babuška, I., Banerjee, U., Osborn, J. E.: Superconvergence in the generalized finite element method.Numer. Math. 107 (2007), 353-395. Zbl 1129.65075, MR 2336112, 10.1007/s00211-007-0096-8; reference:[2] Babuška, I., Strouboulis, T., Upadhyay, C. S., Gangaraj, S. K.: Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations.Numer. Methods Partial Differ. Equations 12 (1996), 347-392. Zbl 0854.65089, MR 1388445, 10.1002/num.1690120303; reference:[3] Babuška, I., Whiteman, J. R., Strouboulis, T.: Finite Elements. An Introduction to the Method and Error Estimation.Oxford University Press, Oxford (2011). Zbl 1206.65246, MR 2857237; reference:[4] Bank, R. E., Rose, D. J.: Some error estimates for the box method.SIAM J. Numer. Anal. 24 (1987), 777-787. Zbl 0634.65105, MR 0899703, 10.1137/0724050; reference:[5] Bergam, A., Mghazli, Z., Verfürth, R.: A posteriori estimates of a finite volume scheme for a nonlinear problem.Numer. Math. French 95 (2003), 599-624. Zbl 1033.65095, MR 2013121; reference:[6] Bi, C.: Superconvergence of finite volume element method for a nonlinear elliptic problem.Numer. Methods Partial Differ. Equations 23 (2007), 220-233. Zbl 1119.65105, MR 2275467, 10.1002/num.20173; reference:[7] Bi, C., Ginting, V.: Two-grid finite volume element method for linear and nonlinear elliptic problems.Numer. Math. 108 (2007), 177-198. Zbl 1134.65077, MR 2358002, 10.1007/s00211-007-0115-9; reference:[8] Brandts, J. H.: Analysis of a non-standard mixed finite element method with applications to superconvergence.Appl. Math., Praha 54 (2009), 225-235. Zbl 1212.65441, MR 2530540, 10.1007/s10492-009-0014-8; reference:[9] Brandts, J., Křížek, M.: Gradient superconvergence on uniform simplicial partitions of polytopes.IMA J. Numer. 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D.: The Preprocessing and Postprocessing for the Finite Element Methods.Chinese Shanghai Sci. & Tech. Publishing Shanghai (1994).; reference:[28] Lv, J., Li, Y.: $L^2$ error estimates and superconvergence of the finite volume element methods on quadrilateral meshes.Adv. Comput. Math. 37 (2012), 393-416. Zbl 1255.65198, MR 2970858, 10.1007/s10444-011-9215-2; reference:[29] Schmidt, T.: Box schemes on quadrilateral meshes.Computing 51 (1993), 271-292. Zbl 0787.65075, MR 1253406, 10.1007/BF02238536; reference:[30] Süli, E.: Convergence of finite volume schemes for Poisson's equation on nonuniform meshes.SIAM J. Numer. Anal. 28 (1991), 1419-1430. Zbl 0802.65104, MR 1119276, 10.1137/0728073; reference:[31] Wahlbin, L. B.: Superconvergence in Galerkin Finite Element Methods.Lecture Notes in Mathematics 1605 Springer, Belin (1995). 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الاتاحة: http://hdl.handle.net/10338.dmlcz/144392

المؤلفون: Ningning Yan, Zi-Cai Li

المصدر: Journal of Computational and Applied Mathematics. 142(2):251-285

مصطلحات موضوعية: Hermite polynomials, Applied Mathematics, Mathematical analysis, Mixed boundary condition, Superconvergence, Global superconvergence, Finite element method, Domain (mathematical analysis), Biharmonic equation, Bi-cubic Hermite elements, Computational Mathematics, Singularity, Boundary value problem, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::483f8dca58f5b2c6424be10fa0b458d4

المؤلفون: Hermann Brunner, Ningning Yan

المصدر: Journal of Computational and Applied Mathematics. 67:185-189

مصطلحات موضوعية: Collocation, Applied Mathematics, Mathematical analysis, Gauss, 010103 numerical & computational mathematics, Superconvergence, Global superconvergence, Computer Science::Numerical Analysis, 01 natural sciences, Integral equation, Volterra integral equation, Mathematics::Numerical Analysis, 010101 applied mathematics, Computational Mathematics, symbols.namesake, Computer Science::Computational Engineering, Finance, and Science, Iterated function, Collocation method, symbols, Iterated collocation solutions, Orthogonal collocation, Volterra integral equations of the second kind, 0101 mathematics, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3a24c11374c9a059aba06b18782a818
https://doi.org/10.1016/0377-0427(96)00012-x

المؤلفون: Azari, Hossein, Zhang, Shuhua

مصطلحات موضوعية: keyword:inverse problem, keyword:global superconvergence, keyword:finite element method, msc:35K10, msc:35R30, msc:65M06, msc:65M32, msc:65M60, msc:76R50

وصف الملف: application/pdf

Relation: mr:MR2530544; zbl:Zbl 1212.35498; reference:[1] Alvarez, C., Conca, C., Friz, L., Kavian, O., Ortega, J. H.: Identification of immersed obstacles via boundary measurements.Inverse Probl. 21 (2005), 1531-1552. Zbl 1088.35080, MR 2173409; reference:[2] Azari, H., Allegretto, W., Lin, Y., Zhang, S.: Numerical procedures for recovering a time dependent coefficient in a parabolic differential equation.Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 11 (2004), 181-199. Zbl 1055.35132, MR 2049776; reference:[3] Azari, H., Li, Ch., Nie, Y., Zhang, S.: Determination of an unknown coefficient in a parabolic inverse problem.Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 11 (2004), 665-674. Zbl 1059.35161, MR 2077110; reference:[4] Azari, H., Zhang, S.: Identifying a time dependent unknown coefficient in a parabolic inverse problem.Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms. Suppl. 12b (2005), 32-43. MR 2269155; reference:[5] Cannon, J. R., Yin, H.-M.: A class of nonlinear non-classical parabolic equations.J. Differ. Equations 79 (1989), 266-288. Zbl 0702.35120, MR 1000690, 10.1016/0022-0396(89)90103-4; reference:[6] Cannon, J. R., Yin, H.-M.: Numerical solutions of some parabolic inverse problems.Numer. Methods Partial Differ. Equations 6 (1990), 177-191. Zbl 0709.65105, MR 1051841, 10.1002/num.1690060207; reference:[7] Canuto, B., Kavian, O.: Determining coefficients in a class of heat equations via boundary measurements.SIAM J. Math. Anal. 32 (2001), 963-986 (electronic). Zbl 0981.35096, MR 1828313, 10.1137/S003614109936525X; reference:[8] J. Douglas, Jr., B. F. Jones, Jr.: The determination of a coefficient in a parabolic differential equation. II. Numerical approximation.J. Math. Mech. 11 (1962), 919-926. Zbl 0112.32603, MR 0153988; reference:[9] B. F. Jones, Jr.: The determination of a coefficient in a parabolic differential equation. I. Existence and uniqueness.J. Math. Mech. 11 (1962), 907-918. Zbl 0112.32602, MR 0153987; reference:[10] Keung, Y. L., Zou, J.: Numerical identification of parameters in parabolic systems.Inverse Probl. 14 (1998), 83-100. Zbl 0894.35127, MR 1607632; reference:[11] Khachfe, R. A., Jarny, Y.: Numerical solution of 2-D nonlinear inverse heat conduction problems using finite-element techniques.Numer. Heat Transfer, Part B: Fundamentals 37 (2000), 45-67. 10.1080/104077900275549; reference:[12] Lin, Q., Yan, N.: The Construction and Analysis of High Efficiency Finite Element Methods.Hebei University Publishers Baoding (1996), Chinese.; reference:[13] Lin, Q., Zhu, Q.: The Preprocessing and Postprocessing for the Finite Element Method.Shanghai Scientific & Technical Publishers Shanghai (1994), Chinese.; reference:[14] Prilepko, A. I., Orlovskii, D. G.: Determination of the parameter of an evolution equation and inverse problems of mathematical physics I.Differ. Equations 21 (1985), 96-104. MR 0777788; reference:[15] Ramm, A. G.: An inverse problem for the heat equation.J. Math. Anal. Appl. 264 (2001), 691-697. Zbl 0987.35164, MR 1876759, 10.1006/jmaa.2001.7781; reference:[16] Ramm, A. G.: A non-overdetermined inverse problem of finding the potential from the spectral function.Int. J. Differ. Equ. Appl. 3 (2001), 15-29. Zbl 1048.35137, MR 1852465; reference:[17] Ramm, A. G.: Inverse problems for parabolic equations applications.Aust. J. Math. Anal. Appl. 2 (2005), Art. 10 (electronic). Zbl 1162.35384, MR 2174516; reference:[18] Ramm, A. G., Koshkin, S. V.: An inverse problem for an abstract evolution equation.Appl. Anal. 79 (2001), 475-482. Zbl 1020.35120, MR 1880954, 10.1080/00036810108840973; reference:[19] Xiong, X. T., Fu, C. L., Li, H. F.: Central difference schemes in time and error estimate on a non-standard inverse heat conduction problem.Appl. Math. Comput. 157 (2004), 77-91. Zbl 1068.65117, MR 2085525, 10.1016/j.amc.2003.08.028

الاتاحة: http://hdl.handle.net/10338.dmlcz/140365

المؤلفون: Chien, C.S., Huang, H.T., Jeng, B.W., Li, Z.C.

مصطلحات موضوعية: parameter-dependent problems, Poisson's equation, Adini's elements, continuation methods, finite-dimensional approximation, simplified hybrid combinations, elliptic-equations, global superconvergence, bifurcation problems, nonlinear problems, lagrange elements, poissons-equation, adinis, elements, singularities

Relation: #PLACEHOLDER_PARENT_METADATA_VALUE#; International Journal of Bifurcation and Chaos; International Journal of Bifurcation and Chaos, Volume 18, Issue 5, Page(s) 1321-1336.; http://dx.doi.org/10.1142/s0218127408021014; http://hdl.handle.net/11455/69350

الاتاحة: http://hdl.handle.net/11455/69350
https://doi.org/10.1142/s0218127408021014

المؤلفون: Huang, Hung-Tsai

Thesis Advisors: Chieh-Sen Huang, Tzon-Tzer Lu, Chun-Kong Law, Zi-Cai Li, Chang-Yi Wang, Weichung Wang

مصطلحات موضوعية: global superconvergence, Lagrange elements, singularity, combined methods, posteriori interpolant, Adini¡¦s element, finite element methods, blending curves., elliptic equations

وصف الملف: application/pdf

الاتاحة: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0606103-220737

المؤلفون: Křižek, Michal, Neittaanmäki, Pekka

مصطلحات موضوعية: global superconvergence for the gradient, post-processing of the Ritz—Galerkin scheme, error estimates, boundary flux

وصف الملف: application/pdf; 221-233; fulltext

Relation: Journal of Computational and Applied Mathematics; 18; Křižek, M., Neittaanmäki, P. (1987). On a global superconvergence of the gradient of linear triangular elements. Journal of Computational and Applied Mathematics , 18 (2), 221-233. doi:10.1016/0377-0427(87)90018-5; URN:NBN:fi:jyu-201902201597; http://urn.fi/URN:NBN:fi:jyu-201902201597

الاتاحة: http://urn.fi/URN:NBN:fi:jyu-201902201597

المؤلفون: Lin, Qun, Zhang, Shuhua

مصطلحات موضوعية: keyword:Sobolev and viscoelasticity type equations, keyword:global superconvergence, keyword:direct analysis, keyword:finite element method, keyword:evolution equation, msc:35G10, msc:35K25, msc:65B05, msc:65M12, msc:65M60, msc:65N30, msc:74Hxx

وصف الملف: application/pdf

Relation: mr:MR1426678; zbl:Zbl 0902.65034; reference:[1] D. Arnold, J. Douglas, V. Thomée: Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable.Math. Comp. 36 (1981), 53–63. MR 0595041, 10.1090/S0025-5718-1981-0595041-4; reference:[2] R. Ewing: The approximation of certain parabolic equations backward in time by Sobolev equations.SIAM J. Math. Anal. 6 (1975), 283–294. Zbl 0292.35004, MR 0361447, 10.1137/0506029; reference:[3] R. Ewing: Numerical solution of Sobolev partial differential eqautions.SIAM J. Numer. Anal. 12 (1975), 345–363. MR 0395265, 10.1137/0712028; reference:[4] W. Ford: Galerkin approximation to nonlinear pseudoparabolic partial differential equation.Aequationes Math. 14 (1976), 271–291. MR 0408270, 10.1007/BF01835978; reference:[5] W. Ford, T. Ting: Stability and convergence of difference approximations to pseudoparabolic partial equations.Math. Comp. 27 (1973), 737–743. MR 0366052, 10.1090/S0025-5718-1973-0366052-4; reference:[6] W. Ford, T. Ting: Uniform error estimates for difference approximations to nonlinear pseudoparabolic partial differential equations.SIAM J. Numer. Anal. 11 (1974), 155–169. MR 0423833, 10.1137/0711016; reference:[7] Q. Lin: A new observation in FEM.Proc. Syst. Sci. & Syst. Eng. (1991), Great Wall (H.K.) Culture Publish Co., 389–391.; reference:[8] Q. Lin, N. Yan, A. Zhou: A rectangle test for interpolated finite elements, ibid.217–229.; reference:[9] Q. Lin, S. Zhang: An immediate analysis for global superconvergence for integrodifferential equations.Appl. Math. 42 (1997), 1–21. MR 1426677, 10.1023/A:1022264125558; reference:[10] Y. Lin: Galerkin methods for nonlinear Sobolev equations.Aequations Math. 40 (1990), 54–56. Zbl 0734.65078, MR 1055190, 10.1007/BF02112280; reference:[11] Y. Lin, T. Zhang: Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions.J. Math. Anal. & Appl. 165 (1992), 180–191. MR 1151067, 10.1016/0022-247X(92)90074-N; reference:[12] Y. Lin, V. Thomée, L. Wahlbin: Ritz-Volterra projection on finite element spaces and applications to integrodifferential and related equations.SIAM J. Numer. Anal. 28 (1991), 1047–1070. MR 1111453, 10.1137/0728056; reference:[13] M. Nakao: Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension.Numer. Math. 47 (1985), 139–157. Zbl 0575.65112, MR 0797883, 10.1007/BF01389881; reference:[14] L. Wahlbin: Error estimates for a Galerkin method for a class of model equations for long waves.Numer. Math. 23 (1975), 289–303. Zbl 0283.65052, MR 0388799, 10.1007/BF01438256; reference:[15] M. Wheeler: A priori $L_2$ error estimates for Galerkin approximations to parabolic partial differential equations.SIAM J. Numer. Anal. 10 (1973), 723–759. MR 0351124, 10.1137/0710062; reference:[16] Q. Zhu, Q. Lin: Superconvergence Theory of the Finite Element Methods.Hunan Science Press, 1990.

الاتاحة: http://hdl.handle.net/10338.dmlcz/134342

المؤلفون: Lin, Qun, Zhang, Shuhua

مصطلحات موضوعية: keyword:integrodifferential equations, keyword:global superconvergence, keyword:immediate analysis, keyword:postprocessing, keyword:finite element method, keyword:parabolic, keyword:hyperbolic, msc:45K05, msc:65B05, msc:65M60, msc:65N30, msc:65R20

وصف الملف: application/pdf

Relation: mr:MR1426677; zbl:Zbl 0902.65090; reference:[1] J. Cannon, Y. Lin: A Galerkin procedure for diffusion equations with boundary integral conditions.Int. J. Eng. Sci. 28 (1990), 579–587. MR 1059777, 10.1016/0020-7225(90)90087-Y; reference:[2] M. Křížek, P. Neittaanmäki: On Finite Element Approximation of Variational Problems and Applications.Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific & Technical, Essex, 1989. MR 1066462; reference:[3] Q. Lin: A new observation in FEM.Proc. Syst. Sci. & Syst. Eng., Great Wall (H.K.), Culture Publish Co., 1991, pp. 389–391.; reference:[4] Q. Lin, N. Yan, A. Zhou: A rectangle test for interpolated finite elements, ibid.217–229.; reference:[5] Q. Lin, Q. Zhu: The Preprocessing and Postprocessing for the Finite Element Method.Shanghai Scientific & Technical Publishers, 1994.; reference:[6] Y. Lin: Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions.SIAM J. Numer. Anal. 27 (1990), 608–621. Zbl 0703.65095, MR 1041254, 10.1137/0727037; reference:[7] Y. Lin, T. Zhang: The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type.Applications of Mathematics 36 (1991), no. 2, 123–133. MR 1097696; reference:[8] Y. Lin, V. Thomée, L. Wahlbin: Ritz-Volterra projection on finite element spaces and applications to integrodifferential and related equations.SIAM J. Numer. Anal. 28 (1991), 1047–1070. MR 1111453, 10.1137/0728056; reference:[9] V. Thomée: Galerkin Finite Element Methods for Parabolic Problems.Lect. Notes in Math., 1054, 1984. MR 0744045; reference:[10] V. Thomée, J. Xu, N. Zhang: Superconvergence of the gradient in piecewise linear finite element approximation to a parabolic problem.SIAM J. Numer. Anal. 26 (1989), 553–573. MR 0997656, 10.1137/0726033; reference:[11] V. Thomée, N. Zhang: Error estimates for semidiscrete finite element methods for parabolic integrodifferential equations.Math. Comp. 53 (1989), 121–139. MR 0969493, 10.2307/2008352; reference:[12] M. Wheeler: A priori $L_2$ error estimates for Galerkin approximations to parabolic partial differential equations.SIAM J. Numer. Anal. 10 (1973), 723–759. MR 0351124, 10.1137/0710062; reference:[13] Q. Zhu, Q. Lin: Superconvergence Theory of the Finite Element Methods.Hunan Science Press, 1990.

الاتاحة: http://hdl.handle.net/10338.dmlcz/134341

المؤلفون: Pekka Neittaanmäki, Michal Křížek

المصدر: Journal of Computational and Applied Mathematics. (2):221-233

مصطلحات موضوعية: Applied Mathematics, Mathematical analysis, Order of accuracy, Superconvergence, global superconvergence for the gradient, Computer Science::Numerical Analysis, Global superconvergence for the gradient, Mathematics::Numerical Analysis, Nonlinear conjugate gradient method, Elliptic curve, Computational Mathematics, error estimates, Norm (mathematics), boundary flux, Piecewise, post-processing of the Ritz—Galerkin scheme, Gradient descent, Gradient method, Mathematics

وصف الملف: application/pdf; fulltext

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2938a7f67f71ff7ad4acaeddfcf7838f

المؤلفون: Zi-Cai Li, Hung-Tsai Huang, Qun Lin

المصدر: Journal of Computational and Applied Mathematics. (1):213-226

مصطلحات موضوعية: Wilson’s element, Applied Mathematics, Mathematical analysis, Extrapolation, Superconvergence, Global superconvergence, Upper and lower bounds, Finite element method, Computational Mathematics, symbols.namesake, Rate of convergence, Eigenvalue problem, Dirichlet boundary condition, symbols, Boundary value problem, Eigenvalues and eigenvectors, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a001d6626e0ccb0e38bc90aa31cf1d86