Results 121 to 130 of about 81,423 (165)

New anisotropic a priori error estimates

Numerische Mathematik, 2001
We prove a priori anisotropic estimates for the $L^2$ and $H^1$ interpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error coming from different directions. This new
FORMAGGIA, LUCA, PEROTTO, SIMONA
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Asymptotic a priori estimates for the error in the nonlinear filtering problem (Corresp.)

IEEE Transactions on Information Theory, 1982
The minimal mean-square error for the scalar nonlinear filtering problem is considered. Asymptotic lower and upper bounds on the error are derived for the case where the intensity of the observation noise tends to zero.
Ben-Zion Bobrovsky, Moshe Zakai
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A Priori Inverse Operator Estimation for Guaranteed Error Estimate

Proceedings of the 4th International Workshop on Reliable Engineering Computing Robust Design – Coping with Hazards, Risk and Uncertainty – REC 2010, 2010
A guaranteed error estimate procedure for linear or nonlinear two-point boundary value problems is established by authors. ‘Guaranteed’ error estimate is rigorous, i.e. it takes into account every error such as the discretization error and the rounding error when we compute an approximate solution.
Kubo T., Oishi S., Takayasu A.
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Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

Advances in Applied Mathematics and Mechanics, 2016
Summary: This paper is devoted to a unified a priori and a posteriori error analysis of CIP-FEM (continuous interior penalty finite element method) for second-order elliptic problems. Compared with the classic a priori error analysis in literature, our technique can easily apply for any type regularity assumption on the exact solution, especially for ...
Wang, Jianye, Ma, Rui
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An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems

SIAM Journal on Numerical Analysis, 2005
Summary: Nonconforming domain decomposition methods provide a powerful tool for the numerical approximation of partial differential equations. For the discretization of a nonlinear multibody contact problem, we use linear mortar finite elements based on dual Lagrange multipliers. Under some regularity assumptions on the solution, an optimal convergence
Stefan Hüeber, Barbara I. Wohlmuth
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On a priori error estimates of some identification methods

IEEE Transactions on Automatic Control, 1970
This paper examines in detail the estimation errors of two algorithms proposed by Koopmans [1] and Levin [2] for identifying linear systems described by an n th-order scalar difference equation. Necessary and sufficient conditions are established for the strong consistency of the estimates that these algorithms generate.
M. Aoki, P. Yue
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A priori error estimation for the SOREL mission

Acta Astronautica, 1975
Abstract In order to estimate the accuracy to which the post-Newtonian relativistic parameters β, γ of the Eddington-Robertson metric and the solar oblateness J 2 can be obtained by using a drag-free space probe (SOREL), a sophisticated mathematical model has been developed. This model includes all relevant perturbations of the motion and accounts
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A priori error estimate of virtual element method for a quasivariational–hemivariational inequality

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenqiang Xiao, Min Ling
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A priori error estimates for variational methods in banach spaces

USSR Computational Mathematics and Mathematical Physics, 1977
Abstract A GENERAL scheme is described for obtaining a priori error estimates for the Bubnov-Galerkin method in arbitrary Banach spaces. As applications, the first and second boundary value problems for strongly elliptic systems of arbitrary order are considered.
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A Priori Error Estimates for the Method of Inclusion-Exclusion with Applications

SIAM Journal on Applied Mathematics, 1984
Summary: The method of inclusion-exclusion can be used to obtain successive upper and lower bounds on the probability of the occurrence of complex events. Usually only the first upper and the first lower bound are considered. But as they can be crude, further bounds must not be excluded from methodical studies and practical computations.
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