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, 2010A 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, 2016Summary: 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, 2005Summary: 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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A priori error estimation for the SOREL mission
Acta Astronautica, 1975Abstract 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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On a priori error estimates of some identification methods
IEEE Transactions on Automatic Control, 1970This 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 estimates for variational methods in banach spaces
USSR Computational Mathematics and Mathematical Physics, 1977Abstract 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, 1984Summary: 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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A priori error estimate of virtual element method for a quasivariational–hemivariational inequality
Communications in Nonlinear Science and Numerical Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenqiang Xiao, Min Ling
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A priori error estimates for hp penalty BEM for contact problems in elasticity
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chernov, A. +2 more
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A Priori and A Posteriori Error Estimates in Recovery of 3D Scenes by Factorization Algorithms
Programming and Computer Software, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Natalya V. Sveshnikova, Dmitry V. Yurin
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