An adaptive finite element method for linear elliptic problems
作者： Kenneth Eriksson , Claes Johnson
DOI: 10.1090/S0025-5718-1988-0929542-X
关键词:
摘要: On propose une methode adaptative d'elements finis, basee sur estimation d'erreur optimale de norme maxima pour les problemes elliptiques lineaires
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sci-hub.se 参考文章(11)
I Babuska, A Miller, A-Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method. ,(1981)
Ivo Babuška, OC Zienkiewicz, ER De Oliveira, None, Accuracy estimates and adaptive refinements in finite element computations Wiley. ,(1986)
R. Löhner, K. Morgan, O.C. Zienkiewicz, An adaptive finite element procedure for compressible high speed flows Computer Methods in Applied Mechanics and Engineering. ,vol. 51, pp. 441- 465 ,(1985) , 10.1016/0045-7825(85)90042-8
Kenneth Eriksson, Claes Johnson, Error estimates and automatic time step control for nonlinear parabolic problems, I SIAM Journal on Numerical Analysis. ,vol. 24, pp. 12- 23 ,(1987) , 10.1137/0724002
A. H. Schatz, L. B. Wahlbin, Maximum norm estimates in the finite element method on plane polygonal domains. I Mathematics of Computation. ,vol. 32, pp. 73- 109 ,(1978) , 10.1090/S0025-5718-1978-0502065-1
Claes Johnson, Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations SIAM Journal on Numerical Analysis. ,vol. 25, pp. 908- 926 ,(1988) , 10.1137/0725051
Rolf Rannacher, Ridgway Scott, Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations Mathematics of Computation. ,vol. 38, pp. 437- 445 ,(1982) , 10.1090/S0025-5718-1982-0645661-4
L. Demkowicz, Ph. Devloo, J.T. Oden, On an h-type mesh-refinement strategy based on minimization of interpolation errors☆ Computer Methods in Applied Mechanics and Engineering. ,vol. 53, pp. 67- 89 ,(1985) , 10.1016/0045-7825(85)90076-3
A. H. Schatz, L. B. Wahlbin, Maximum norm estimates in the finite element method on plane polygonal domains. II. Refinements Mathematics of Computation. ,vol. 33, pp. 465- 492 ,(1979) , 10.1090/S0025-5718-1979-0502067-6
C.W.S. To, M.L. Liu, Geometrically nonlinear analysis of layerwise anisotropic shell structures by hybrid strain based lower order elements Finite Elements in Analysis and Design. ,vol. 37, pp. 1- 34 ,(1987) , 10.1016/S0168-874X(00)00015-9