a 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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New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint
... Recently, an adaptive finite element method has been investigated extensively. It has become one of the most popular methods in the scientific computation and numerical modeling. Adaptive finite element approximation ...
21
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 ...
28
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 ...
8
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 ...
12
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 ...
35
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- ...
30
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 ...
11
Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity
... small. However, in practice, we do not know how small N can be chosen: this will depend on the desired accuracy, the selected output(s) of interest, and the particular problem in question; in some cases N = 5 may ...
9
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 ...
13
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 ...
16
Statistical analysis of coverage error in simple global temperature estimators
... (at least for recent decades), but rather from spatial heterogeneity in the dis- tribution of observations with some regions being relatively undersampled and others oversampled. The new estimator addresses this problem ...
29
Robust standard error estimators for panel models: a unifying approach
... Lastly, one caveat applies. This paper is concerned with design-efficient computing of a quite general class of estimators. Generality will mean that many different estimators can be fitted to the data ...
31
Liu Estimates and Influence Analysis in Regression Models with Stochastic Linear Restrictions and AR (1) Errors
... (1) error structure when collinearity exists, stochastic linear restrictions or modifications of biased estimators (including Liu estimators) can be used to reduce the estimated variance of the ...
16
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 ...
19
Optimizing Forest Sampling by Using Lagrange Multipliers
... calibration estimators can be employed if there are auxiliary variables for inventory sample plots known for which the population totals are also known, ...calibration estimators for forest inventories ...
6
A Posteriori Error Estimator for a Front-Fixing Finite Difference Scheme for American Options
... Next, we indicate how to use the error estimator defined by equation (31), or alternatively by equation (32). Let us assume that our goal is to solve the American put option problem with a given tolerance , where ...
6
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
... a posteriori error estimates [2] for a singularly perturbed Allen– Cahn equation (given in the weaker L ∞ (L 2 ) norm) involve negative powers of ε in various ...the error estimate will involve ...
31
Retrieval of the ice sheet topography by satellite radar altimeter echoes
... The computations of the best linear estimate and the separable estimation were done on a Sun Sparc IPX workstation . The RAM available on the IPX was 32 mega bytes. For a matrix size of 2000x2000, the calculation of the ...
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Estimators For Generalized Linear Measurement Error Models With Interaction Terms
... for estimators solving the conditional-score unbiased estimating ...the error-prone ...the error-free and error-prone ...corrected-score estimators effectively eliminate the bias due to ...
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