Results 231 to 240 of about 9,369 (262)

A new a posteriori error estimate for the Morley element

Numerische Mathematik, 2008
The authors study the a posteriori error analysis for the Morley element of the Kirchhoff plate problem. In this respect they use some previous results on Helmholtz decomposition and the conservative property of the Morley element. Their results refine some previous ones, by dropping two edge jumps terms in both the energy norm of the error and the ...
Jun Hu 0013, Zhongci Shi
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A Posteriori Error Estimates Based on Hierarchical Bases

SIAM Journal on Numerical Analysis, 1993
During the last 10 years a substantial progress has been made in the theory and practice of adaptive techniques for solving partial differential equations. This progress is strongly related to the construction and study of reliable a posteriori error estimators and error indicators.
Bank, Randolph E., Smith, R. Kent
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A Posteriori Error Estimators for the Raviart–Thomas Element

SIAM Journal on Numerical Analysis, 1996
This paper is concerned with the development of a posteriori error estimators for the Raviart-Thomas element which is really powerful for mixed finite element methods. The difficulties met in such a development are: -- the \(H(\text{div},\Omega)\)-norm is an anisotropic norm since it refers to differential operators of different orders; -- the traces ...
Braess, Dietrich, Verfürth, R.
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Accurate a-posteriori error estimation using duality

Neural Parallel Sci. Comput., 1995
563
Luis Ferragut, Rafael Montenegro
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A Posteriori Suboptimal Error Estimates in Control Problems

Applied Mathematics and Computation, 1977
For the linear quadratic control problem, a lower bound for the performance index is established by simple methods. Using this bound, two important a posteriori error estimates are obtained, the first one measuring the deviation of the performance index, while the other is for the deviation of the state and control variables from the optimal solution ...
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The Equivalence of A Posteriori Error Estimators

1995
For finite element discretzations of partial differential equations, various a posteriori error estimators have been proposed in the literature. They can be classified as follows: (1) estimators based on evaluating the residual of the discrete solution with respect to the strong form of the pde, (2) estimators based on the solution of auxiliary local ...
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ON A POSTERIORI ERROR ESTIMATION FOR CONSTANT OBSTACLE PROBLEMS

2001
A posteriori error estimators for finite element approximations to variational inequalities are derived inthe model case of ``Poisson's inequality'' for a constant obstacle. These residual-type estimators yield global upper and, partially, local lower bounds for the true error.
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A review of VMS a posteriori error estimation with emphasis in fluid mechanics

Computer Methods in Applied Mechanics and Engineering, 2023
Diego Irisarri, Guillermo Hauke
exaly  

A posteriori error estimation techniques in practical finite element analysis

Computers and Structures, 2005
Klaus-Jürgen Bathe, Thomas Grätsch
exaly  

A posteriori error estimation and three-dimensional automatic mesh generation

Finite Elements in Analysis and Design, 1997
O C Zienkiewicz, J Z Zhu
exaly