The h , p and h-p versions of the finite element methods in 1 dimension . Part III. The adaptive h-p version.
作者： W. Gui , I. Babuška
DOI: 10.1007/BF01389735
关键词:
摘要: Abstract : The paper is the third and final part in series of three devoted to detailed analysis basic versions finite element method one dimension. first analyzed p-version, second concentrated on h h-p version. This analyzes a theoretical frame adaptive version based it authors provide concrete algorithm for dimensional problem. It proven that case solution has x sub alpha-type singularity, give an exponential rate convergence, very close optimal paper. Additional keyword: Error analysis.
acm.org
springer.com
sci-hub.se 参考文章(9)
Alan Weiser, Local-mesh, local-order, adaptive finite element methods with a-posteriori error estimators for elliptic partial differential equations Yale University. ,(1981)
W Sztmczak, C Mesztenyi, FEARS User's Manual for UNIVAC 1100. ,(1982)
M Vogelius, I Babuska, A Miller, Adaptive Methods and Error Estimation for Elliptic Problems of Structural Mechanics. ,(1983)
G. W. Wasilkowski, H. Woźniakowski, Can adaption help on the average Numerische Mathematik. ,vol. 44, pp. 169- 190 ,(1984) , 10.1007/BF01410103
W. Gui, I. Babuška, The h , p and h-p versions of the finite element method in 1 dimension. Part II. The error analysis of the h and h-p versions Numerische Mathematik. ,vol. 49, pp. 613- 657 ,(1986) , 10.1007/BF01389734
G. W. Wasilkowski, J. F. Traub, John J. Bartholdi, Joseph Ford, H. Wozniakowski, Information, Uncertainty, Complexity ,(1982)
I Bubuška, Michael Vogelius, None, Feedback and adaptive finite element solution of one-dimensional boundary value problems Numerische Mathematik. ,vol. 44, pp. 75- 102 ,(1984) , 10.1007/BF01389757
Ivo Babuška, Milo R. Dorr, Error estimates for the combinedh andp versions of the finite element method Numerische Mathematik. ,vol. 37, pp. 257- 277 ,(1981) , 10.1007/BF01398256
W. Gui, I. Babuška, The h,p and h-p versions of the finite element method in 1 dimension Numerische Mathematik. ,vol. 49, pp. 577- 612 ,(1986) , 10.1007/BF01389733