Priori error estimates
A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems
... some error estimate results for both the state, the co-state and the control approximation with convergence order h k+1 ...The priori error ...
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A priori error estimates for numerical methods for scalar conservation laws. Part III: multidimensional flux-splitting Monotone schemes on non-Cartesian grids
... a priori error estimates for numerical methods for scalar conservation laws was ...a priori error estimates for the Engquist- Osher scheme [9] on one-dimensional uniform grids; ...
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A priori error estimates for numerical methods for scalar conservation laws. Part II: flux-splitting Monotone schemes on irregular Cartesian grids
... truncation error and show how to use it (i) to obtain a priori error estimates for ux-splitting monotone schemes in nonuniform grids, and (ii) to explain the supraconvergence ...optimal ...
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A priori error estimates for numerical methods for scalar conservation laws. Part II, Flux-splitting monotone schemes on irregular Cartesian grids
... a priori error estimates for scalar con- servation laws, based on the original Kuznetsov approximation theory ...global error of these schemes seems to be insensitive to the deterioration of ...
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A priori error estimates for numerical methods for scalar conservation laws - Part III: Multidimensional flux-splitting monotone schemes on non-Cartesian grids
... ∆x is the maximum diameter of the finite volumes K. Moreover, we uncover the mechanism that allows optimal a priori error estimates to hold even for nonconsistent schemes. Extending a similar result ...
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A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
... Our presentation is structured as follows: In Section 2 we will define the model problem, followed by a description of the discretization in Section 3. The a priori error estimates will be ...
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A priori error estimates for energy based quasicontinuum approximations of a periodic chain
... consistency error estimate for the QNL method can be found in ...quasicontinuum error was given by Dobson and Luskin 4 ...consistency error estimates, the analysis in ...
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Analysis of a quasicontinuum method in one dimension
... a priori error estimates for a modified version of the local QC method for purely elastic deformation in two dimensions without using such an assumption, but making instead a strong hypothesis ...
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Variational discretization and mixed methods for semilinear parabolic optimal control problems with integral constraint
... The plan of this paper is as follows. In section II, the variational discretization and mixed finite element methods are structured for optimal control problems governed by semilinear parabolic equations with integral ...
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Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs
... a priori estimates only hold in asymptotic range and their derivation in the currently published literature are only valid for self adjoint operators in GM/WF when functional B ( ) ⋅ ⋅ , is symmetric, thus ...
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Finite Element Analysis of the Ramberg Osgood Bar
... a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood ...
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Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems
... optimal control problems (see, e.g., [–]). Although bilinear optimal control problems are frequently met in applications, they are much more difficult to handle in comparison to linear or semilinear cases. There is ...
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Explicit Error Estimate for the Nonconforming Crouzeix-Raviart Finite Element
... the error estimate of the nonconforming finite element ...consistency error estimate and the geometric characters of the triangle, which together with the interpolation error estimate implies the ...
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THE SAMPLING ERROR OF ROTATOR ESTIMATES OF EYE VOLUME
... object transects thus generated are denoted by a( φ ) and a( φ + π ) respectively and the distances from the axis to the centre of gravity of each of the transects are denoted by l( φ ) and l( φ + π ) see Fig. 1b. For ...
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A priori error analysis of two force based atomistic/continuum models of a periodic chain
... stability estimates are established in a special situation (linearization around the homogeneous deformation y = Ax); however, the methods devel- oped in that reference do not obviously extend to large ...
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Blind Joint Soft Detection Assisted Slow Frequency Hopping Multicarrier DS CDMA
... Fig. 8 compared the performance of hard-detection upon ex- ploiting the explicit knowledge of FH patterns to that of the blind joint soft-detection Approach II for different fading pa- rameters, namely for . The results ...
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A posteriori error estimates of the lowest order Raviart Thomas mixed finite element methods for convective diffusion optimal control problems
... posteriori error estimate for the mixed finite element ...posteriori error analysis for linear convection-diffusion problems under weak mesh regularity ...
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PARTIAL DIFFERENTIATION AND ERROR ESTIMATES. Partial derivatives are of-
... In order to continue, we need to give specific values for the current and resistance, so let us assume that the measured current is 4 amperes and the measured resistance is 30 ohms, so that the predicted power usage is ...
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Global CO2 emissions from cement production, 1928–2017
... Our uncertainty analysis leans heavily on the officially es- timated uncertainty of cement emissions provided in sub- missions to the UNFCCC, whether in National Inventory Reports, National Communications, or Biennial ...
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CAVEAT ON THE ERROR ANALYSIS FOR STEREOLOGICAL ESTIMATES
... In model study 2, from the true volume fractions of the 5 cells as calculated from the nuclear and cell (3D) diameters, the mean nuclear volume fraction estimate for the cell population is 28.8% with a CE of 4.85% which ...
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