@article{M2AN_1997__31_3_303_0, author = {Garcia, Sonia M. F. and Jensen, S{\o}ren}, title = {The $p$ version of mixed finite element methods for parabolic problems}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {303--326}, publisher = {Elsevier}, volume = {31}, number = {3}, year = {1997}, mrnumber = {1451345}, zbl = {0876.65070}, language = {en}, url = {http://www.numdam.org/item/M2AN_1997__31_3_303_0/} }
TY - JOUR AU - Garcia, Sonia M. F. AU - Jensen, Søren TI - The $p$ version of mixed finite element methods for parabolic problems JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1997 SP - 303 EP - 326 VL - 31 IS - 3 PB - Elsevier UR - http://www.numdam.org/item/M2AN_1997__31_3_303_0/ LA - en ID - M2AN_1997__31_3_303_0 ER -
%0 Journal Article %A Garcia, Sonia M. F. %A Jensen, Søren %T The $p$ version of mixed finite element methods for parabolic problems %J ESAIM: Modélisation mathématique et analyse numérique %D 1997 %P 303-326 %V 31 %N 3 %I Elsevier %U http://www.numdam.org/item/M2AN_1997__31_3_303_0/ %G en %F M2AN_1997__31_3_303_0
Garcia, Sonia M. F.; Jensen, Søren. The $p$ version of mixed finite element methods for parabolic problems. ESAIM: Modélisation mathématique et analyse numérique, Tome 31 (1997) no. 3, pp. 303-326. http://www.numdam.org/item/M2AN_1997__31_3_303_0/
[1] Error bounds for the finite element method, Numer. Math., 16,322-333. | MR | Zbl
, 1971,[2] On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, RAIRO 8-R.2, 129-151. | Numdam | MR | Zbl
, 1974,[3] The approximation theory for the p-version of the finite element method, SIAM J. Numer. Anal., 21, 1180-1207. | MR | Zbl
, 1984,[4] Mixed finite element methods for second order elliptic problems, Mat. Applic. Comp., 1, 91-103. | MR | Zbl
and , 1982,[5] Global estimates for mixed methods for second order elliptic equations, Math. Comp., 44, 39-52. | MR | Zbl
and , 1985,[6] Improved Error Estimates for Nonlinear Parabolic Equations - Continuous Time Case, Numer. Methods in PDEs, 10, 129-147. | MR | Zbl
, 1994,[7] p-version of the mixed finite element method for Stokes-like problems, Comp. Meth. Appl. Mech. Eng., 101, 27-41. | MR | Zbl
, 1992,[8] Divergence stability in connection with the p version of the finite element method, RAIRO, Modélisation Math. Anal. Numér., 24-6, 737-764. | Numdam | MR | Zbl
and , 1990,[9] Numerical solutions of partial differential equations by the finite element methods, Cambridge University Press, 1987. | MR
,[10] Error estimates for some mixed finite element methods for parabolic type problems, RAIRO Anal. Numér., 15, 41-78. | Numdam | MR | Zbl
and , 1981,[11] Mixed Finite Element Methods for Quasilinear Second Order Elliptic Problems : the p-version. RAIRO, Modélisation Math. Anal. Numér., 24-7, 913-931. | Numdam | MR | Zbl
and , 1992,[12] Some results of Bernstein and Jackson type for polynomial approximation in Lp spaces, Jap. J. Appl. Math., 1, 173-181. | MR | Zbl
, 1984,[13] A Mixed Finite Element Method for 2-nd Order Elliptic Equations, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, 606, ed. I. Galligani and E. Magenes, Springer, 292-315. | MR | Zbl
and , 1977,[14] Orthogonal Functions, Dover, Mineola, NY 1991 (orig. Interscience, 1959). | MR | Zbl
,[15] Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series vol. 30, Princeton University Press, NJ, 1970. | MR | Zbl
,[16] On the stability and convergence of higher order mixed finite element methods for second order elliptic problems, Math. Comp., 54, 1-19. | MR | Zbl
, 1990,[17] Orthogonal Polynomials, AMS Colloq. Publ. 23, 1933. | Zbl
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