Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/feedback-and-adaptive-finite-element-solution-of-one-dimensional-w8E0E85kZs
References (16)
-
A. Weiser (1981)
Local-mesh, local-order, adaptive finite element methods with a-posteriori error estimators for elliptic partial differential equations -
Alan WEISERAbstract (1985)
Some a posteriori error estimators for elliptic partial differential equationsMathematics of Computation, 44
-
B. Childs, M. Scott, J.V. Daniel, E. Denman, P. Nelson (1979)
Proceedings of Working Conference, May 14–17, 1978 -
C. Mesztenyi, W. Sztmczak (1982)
FEARS User's Manual for UNIVAC 1100. -
W. Rheinboldt (1983)
Feedback Systems and Adaptivity for Numerical Computations. -
I. Babuska, A. Miller, M. Vogelius (1983)
Adaptive Methods and Error Estimation for Elliptic Problems of Structural Mechanics. -
I. Babuska, W. Rheinboldt (1981)
A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional ProblemsSIAM Journal on Numerical Analysis, 18
-
I. Babuška, W.C. Rheinboldt (1978)
A posteriori error estimates for the finite element method. InternatJ. Numer. Methods. Engng., 12
-
W.C. Rheinboldt (1983)
Proceedings ARO Workshop on Adaptive Computational Methods for Partial Differential Equations -
I. Babuska, W. Rheinboldt (1978)
A‐posteriori error estimates for the finite element methodInternational Journal for Numerical Methods in Engineering, 12
-
I. Babuska, W. Rheinboldt (1984)
Adaptive Finite Element Processes in Structural Mechanics. -
B. Childs, M. Scott, J. Daniel, E. Denman, P. Nelson (1979)
Codes for Boundary-Value Problems in Ordinary Differential Equations, 76
-
I. Babuska, W. Rheinboldt (1982)
A Survey of a Posteriori Error Estimators and Adaptive Approaches in the Finite Element Method. -
I. Babuska, A. Miller (1981)
A-Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method. -
I. Babuska, J. Osborn (1980)
Analysis of finite element methods for second order boundary value problems using mesh dependent normsNumerische Mathematik, 34
-
J.R. Rice (1976)
Adaptive approximationJ. Approximation Theory, 16
- Publisher
- Springer Journals
- Copyright
- Copyright © 1984 by Springer-Verlag
- Subject
- Mathematics; Numerical Analysis; Mathematics, general; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation; Mathematical and Computational Engineering
- ISSN
- 0029-599X
- eISSN
- 0945-3245
- DOI
- 10.1007/BF01389757
- Publisher site
- See Article on Publisher Site
Abstract
This paper examines the concepts of feedback and adaptivity for the Finite Element Method. The model problem concernsC 0 elements of arbitrary, fixed degree for a one-dimensional two-point boundary value problem. Three different feedback methods are introduced and a detailed analysis of their adaptivity is given.
Journal
Numerische Mathematik – Springer Journals
Published: Mar 14, 2005