Posteriori Error Estimators
A Posteriori Error Estimators for the Discrete Ordinates Approximation of the One-Speed Neutron Transport Equation
... local error, Bank and Weiser proposed three estimators that rely on ”solving local Neumann problems in each element” ...three estimators vary in how they demand consistency between the local and ...
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A posteriori error estimates of the lowest order Raviart Thomas mixed finite element methods for convective diffusion optimal control problems
... Recently, the adaptive finite element method has been investigated extensively. It has become one of the most popular methods in the scientific computation and numerical modeling. An adaptive finite element approximation ...
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Star based a Posteriori Error Estimator for Convection Diffusion Problems
... A posteriori error estimators provide the basis for adaptive mesh refinement and quantitative error control [1, 8, 4, 5, 12, 19, 14, ...successful estimators was proposed by Bank and ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... exact error. Therefore, it is natural to ac- quire a posteriori error estimators to pinpoint where the error is large and, at the same time, properly bound the exact error on the ...
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A posteriori error estimation for a PDE constrained optimization problem involving the generalized Oseen equations
... a posteriori error ...corresponding error indicators in section 5.2. In section 6 we consider the estimators that we can obtain for a particular approximation method in more ...
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Full discretization of wave equation
... the error committed between the exact solution and the approximate ...a posteriori error estimators have become an indispensable ...These estimators allow to measure the quality of the ...
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Component-based reduced basis for parametrized symmetric eigenproblems
... a posteriori error estimators for the port reduction is proposed in [14]; and an alternative port reduction approach, with a different bubble function approximation space, is proposed for time- ...
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A posteriori analysis of fully discrete method of lines DG schemes for systems of conservation laws
... priori error estimates or convergent error estimators can be ...a posteriori error estimators [16, 24, 8] are available postshock, based on a more discriminatory notion of the ...
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Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity
... a posteriori error estimators, and off–line/on–line computational decomposition — are in- tended to render partial–differential-equation solutions truly “useful”: essentially real–time as regards ...
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Neumann-Type A Posteriori Error Estimation For Steady Convection-Diffusion Equation
... It is well known that the standard Galerkin discretization of convection-diffusion equation yields inaccurate, oscillatory solutions near boundary layers in convection dominated flows and, if the diffusion parameter 𝜖 is ...
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Analysis of Variance of Cross-Validation Estimators of the Generalization Error
... generalization error can be computed under the following cross validation ...generalization error of a learning method, the training sets, and hence the test sets, are randomly selected from the available ...
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1235.pdf
... Adaptive methods are known to be effective in reducing oscillations and dispersion in FE solutions of the ADR equation (Thompson, 1985). Numerical methods are called adaptive when they modify their operational parameters ...
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A Posteriori Error Estimator for a Front-Fixing Finite Difference Scheme for American Options
... a posteriori error estimator for the American options pricing which is based on Richardson’s extrapolation ...This error estimator allows us to find a suitable grid where the computed solution, both ...
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
... a posteriori error estimate given by Theorem ...to) error estimates of ...a posteriori error estimates for fully discrete Crank–Nicolson methods, which were not considered in ...
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A dual weighted residual method applied to complex periodic gratings
... There are two types of grating, the perfectly conducting and the dielectric trans- mitting grating [23]. There are also two fundamental polarizations, the Transverse Electric mode (TE) and the Transverse Magnetic mode ...
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A Residual-Based A Posteriori Spatial Error Estimator for the SN Neutron Transport Equation.
... difference-based error estimator in which a solution on a uniformly-refined mesh, integrated over angle as scalar flux or current, is effectively utilized as a reference solution for the coarse mesh solution ...
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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
... a posteriori error estimates of the spectral approx- imation solutions for both the state and the control, and also obtained L 2 (L 2 ) – L 2 (L 2 ) a posteriori error estimates of the ...
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Liu Estimates and Influence Analysis in Regression Models with Stochastic Linear Restrictions and AR (1) Errors
... In this section, the dataset due to Bayhan and Bayhan [17] is considered to illustrate the theoretical results of the previous sections. There are 75 observations and the dataset consists of two independent variables: ...
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Statistical analysis of coverage error in simple global temperature estimators
... coverage error contribution to tem- peratures estimates for recent ...statistical estimators of global mean temperature are required for use in the evaluation of both historical temperature change and ...
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Statistical analysis of coverage error in simple global temperature estimators
... coverage error contribution to temperatures estimates for recent ...statistical estimators of global mean temperature are required for use in the evaluation of both historical temperature change and current ...
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