@article{M2AN_1987__21_4_679_0, author = {Nakao, Mitsuhiro T.}, title = {Superconvergence of the gradient of Galerkin approximations for elliptic problems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {21}, year = {1987}, pages = {679-695}, mrnumber = {921833}, zbl = {0642.65073}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1987__21_4_679_0} }
Nakao, Mitsuhiro T. Superconvergence of the gradient of Galerkin approximations for elliptic problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987) pp. 679-695. http://gdmltest.u-ga.fr/item/M2AN_1987__21_4_679_0/
[1] Sobolev spaces, Academic Press (1975) | MR 450957 | Zbl 0314.46030
,[2] A note on C° Galerkin methods for two point boundary problems, Numer. Math. 38 (1982) 447-453. | MR 654109 | Zbl 0462.65053
,[3] One-dimensional Galerkin methods and superconvergenceatinterior nodal points, SIAM J. Numer. Anal. 21 (1984) 101-110. | MR 731215 | Zbl 0571.65078
,[4] Superconvergence of finite element solutions and its derivatives, Numerical Mathematics, 2 (1981), 118-125 (Chinese). | MR 635547 | Zbl 0511.65080
,[5] finite element method scheme for onedimensional elliptic équations with high super convergence at the node, , Numer.Math. 46 (1985) 417-427. | MR 791699 | Zbl 0548.65067
& ,[6] Galerkin approximations for the two pointboundary problem using continuous pieeewise polynomial spaces, Numer. Math.22 (1974) 99-109. | MR 362922 | Zbl 0331.65051
, & ,[7] An L°° estimate and asuperconvergence resuit for a Galerkin method for elliptic équations based ontensor products of pieeewise polynomials, RAIRO 8 (1974) 61-66. | Numdam | MR 359358 | Zbl 0315.65062
& ,[8] Superconvergence phenomenon in the finite element method arising from averaging gradients, , Numer. Math. 45 (1984) 105-116. | MR 761883 | Zbl 0575.65104
& ,[9] Superconvergence of the gradient of finite element solutions, RAIRO Anal. Numer. 13 (1979), 139-166. | Numdam | MR 533879 | Zbl 0412.65051
& ,[10] Superconvergent recovery of the gradient from pieceewise linear finite-element approximations, IMA J. Numer. Anal. 5 (1985) 407-427. | MR 816065 | Zbl 0584.65067
,[11] Some superconvergence estimates for a Galerkin method for elliptic problems, Bull. Kyushu Inst. Tech. (Math. Natur. Sci.), 31 (1984) 49-58. | MR 763228 | Zbl 0575.65105
,[12] error estimates and superconvergence results for a collocation--Galerkin method for elliptic equations, Memoirs of the Faculty of Science, Kyushu University, Ser. A, 39 (1985) 1-25. | MR 783218 | Zbl 0584.65073
,[13] Some superconvergence of Galerkin approximations for parabolic and hyperbolic problems in one space dimension, Bull. Kyushu Inst. Tech. (Math. Natur. Sci.) 32 (1985) 1-14. | MR 797452 | Zbl 0623.65119
,[14] Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension, Numer. Math. 47 (1985) 139-157. | MR 797883 | Zbl 0575.65112
,[15] Study of the rate of convergence of variational difference schemes for second order elliptic equations in a two dimensional field with a smooth boundary, USSR Comp. Math, and Math.hysics, 9 (1969) 158-183. | Zbl 0241.65073
and ,[16] Some optimal error estimates for piecewise linear finite element approximations, Math. Comp. 38 (1982) 437-445. | MR 645661 | Zbl 0483.65007
& ,[17] A weak discrete maximum principle and stability of the finite element method in on plane polygonal domains I, Math. Comp. 34 (1980) 77-99. | MR 551291 | Zbl 0425.65060
,[18] Uniform superconvergence estimates of derivatives for the finite elementmethod, Numerical Mathematics, 4 (1983) 311-318 (Chinese). | Zbl 0549.65073
,