Results 131 to 140 of about 11,295 (169)

A Posteriori Error Estimators for a Class of Variational Inequalities

Journal of Scientific Computing, 2000
The finite element approximation of obstacle problems is considered. Triangular elements are used for the approximation of the corresponding variational inequality. A posteriori error estimators with different regularity assumptions on the boundary conditions are derived. In two numerical examples the application of the error estimator to adaptive mesh
Wenbin Liu, Ningning Yan
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A Posteriori Error Estimates in Iterative Procedures

SIAM Journal on Numerical Analysis, 1973
In many cases a rough theoretical a priori error estimate allows one to obtain a relatively good a posteriori estimate. The paper deals first with a very general method in the case of general metric spaces and proceeds then to the more detailed discussion of iterative procedures in the case of systems of linear equations.
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A POSTERIORI ERROR ESTIMATION IN BIOMEDICAL IMAGING

2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007
We present an adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy with a special focus on new application in medical imaging. The problem takes the form of reconstructing an unknown sound velocity c(x) from boundary displacement data measured in acoustic microscopy in order to obtain the pathological defects
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An A Posteriori Error Estimator for the FEM in Nonlinear Elastostatics

SIAM Journal on Scientific Computing, 2003
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A posteriori error estimator for finite volume methods

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdellatif Agouzal, Fabienne Oudin
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A posteriori error estimates for mixed FEM in elasticity

Numerische Mathematik, 1998
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Carsten Carstensen, Georg Dolzmann
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Effective postprocessing for equilibration a posteriori error estimators

Numerische Mathematik, 2012
The authors investigate that an error control by fully discrete a posteriori error estimators is possible with typical overestimation between 1.25 and 2.0 in simple computer benchmarks. Numerical simulations for three classes of applications illustrate the efficiency for Poisson problems.
Carsten Carstensen, Christian Merdon
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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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