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On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian
SIAM Journal on Numerical Analysis, 2002The paper is devoted to the finite element approximation of the \(p\)-Laplacian with zero Dirichlet data. The authors establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi-norms. These estimates are among the key ingredients in their improved a posteriori error analysis for the \(p\)-Laplacian.
Wenbin Liu, Ningning Yan
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2003
In this chapter we assume the spacetime K is foliated by a double null canonical foliation that satisfies the assumptions $$O \leqslant \epsilon_0 ,\,D \leqslant \epsilon_0 ,$$ (6.0.1) and we make use of the inequality proved in Theorem M7 $$R \leqslant cQ_K^{\frac{1} {2}} .$$ (6.0.2)
Sergiu Klainerman, Francesco Nicolò
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In this chapter we assume the spacetime K is foliated by a double null canonical foliation that satisfies the assumptions $$O \leqslant \epsilon_0 ,\,D \leqslant \epsilon_0 ,$$ (6.0.1) and we make use of the inequality proved in Theorem M7 $$R \leqslant cQ_K^{\frac{1} {2}} .$$ (6.0.2)
Sergiu Klainerman, Francesco Nicolò
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Microstructural Decomposition Error Estimates
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999AbstractComputational simulations of interacting microstructure in solid structures, with methods such as the finite element method, require solutions to numerically enormous boundary value problems. The primary objective of this work is to introduce a‐posteriori error bounds for a domain decomposition which can be used to reduce the computational ...
Zohdi, T., Wriggers, P.
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Error Estimation for the Particle Filter
2019 53rd Annual Conference on Information Sciences and Systems (CISS), 2019The particle filter is a popular algorithm for solving the state-space problem for its easy implement. Many previous studies have been conducted to study the asymptotical behavior of particle filters. In our previous works, we divided the error of particle filter into two parts.
Ziyu Liu 0001, James C. Spall
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Guaranteed a-posteriori error estimation and a-posteriori estimation of the pollution error
2001Abstract In Chapter 5 we discussed various estimators for the energy norm of the error in the finite element solution. We discussed the Neumann element residual estimator, the subdo-main residual estimator, the explicit residual estimator, the recovery estimators (e.g. the ZZ–SPR estimator, etc), and analyzed them in two ways:
Ivo Babuška, Theofanis Strouboulis
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1998
In the conceptual idea described in Chapter 6.1, it was assumed that the mean of the sample would deviate from that of the population from which it was collected. This therefore raises the question of how “precisely” does the mean value of the sample reflect that of the population. In other words, how large is the uncertainty of the mean value, or what
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In the conceptual idea described in Chapter 6.1, it was assumed that the mean of the sample would deviate from that of the population from which it was collected. This therefore raises the question of how “precisely” does the mean value of the sample reflect that of the population. In other words, how large is the uncertainty of the mean value, or what
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Online Smart Meter Measurement Error Estimation Based on EKF and LMRLS Method
IEEE Transactions on Smart Grid, 2021Xiangyu Kong, Xiangyu Kong, Ning Lu
exaly
Errors, Recovery Processes, and Error Estimates
2005O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
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